ANSYS Mechanical Tutorial - Actuator Mechanism Rigid Body Dynamics

ANSYS Mechanical Tutorials
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Table of Contents
Tutorials ....................................................................................................................................................... v
Actuator Mechanism using Rigid Body Dynamics ..................................................................................... 1
Nonlinear Static Structural Analysis of a Rubber Boot Seal ..................................................................... 11
Cyclic Symmetry Analysis of a Rotor - Brake Assembly ............................................................................ 35
Steady-State and Transient Thermal Analysis of a Circuit Board ............................................................. 51
Delamination Analysis using Contact Based Debonding Capability ....................................................... 61
Interface Delamination Analysis of Double Cantilever Beam .................................................................. 77
Fracture Analysis of a 2D Cracked Specimen using Pre-Meshed Crack .................................................... 97
Fracture Analysis of a Double Cantilever Beam (DCB) using Pre-Meshed Crack .................................... 107
Fracture Analysis of an X-Joint Problem with Surface Flaw using Internally Generated Crack Mesh .... 113
Using Finite Element Access to Resolve Overconstraint ......................................................................... 121
Simple Pendulum using Rigid Dynamics and Nonlinear Bushing .......................................................... 153
Track Roller Mechanism using Point on Curve Joints and Rigid Body Dynamics .................................. 159
Index ........................................................................................................................................................ 167
iii
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of ANSYS,Inc.and its subsidiaries and affiliates.

iv

Tutorials
This section includes step-by-step tutorials that represent some of the basic analyses you can perform
in the Mechanical Application. The tutorials are designed to be self-paced and each have associated
geometry input files. You will need to download all of these input files before starting any of the tutorials.
v

vi

Actuator Mechanism using Rigid Body Dynamics
This example problem demonstrates the use of a Rigid Dynamic analysis to examine the kinematic
behavior of an actuator after moment force is applied to the flywheel.
Features Demonstrated
• Joints
• Joint loads
• Springs
• Coordinate system definition
• Body view
• Joint probes
Setting Up the Analysis System
1. Create the analysis system.
Start by creating a Rigid Dynamics analysis system and importing geometry.
a. Start ANSYS Workbench.
b. In the Workbench Project page, drag a Rigid Dynamics system from the Toolbox into the Project
Schematic.
c. Right-click the Geometry cell of the Rigid Dynamics system, and select Import Geometry>Browse.
d. Browse to open the Actuator.agdb file. A check mark appears next to the Geometry cell in the
Project Schematic when the geometry is loaded.This file is available on the ANSYS Customer Portal;
go to http://support.ansys.com/training.
2. Continue preparing the analysis in the Mechanical Application.
a. In the Rigid Dynamics system schematic, right-click the Model cell, and select Edit.The Mechanical
Application opens and displays the model.
1

The actuator mechanism model consists of four parts: (from left to right) the drive, link, actuator,
and guide.
b. From the Menu bar , select Units>Metric (mm, kg, N, s, mV, mA).
Note
Stiffness behavior for all geometries are rigid by default.
3. Remove surface-to-surface contact.
Rigid dynamic models use joints to describe the relationships between parts in an assembly. As
such, the surface-to-surface contacts that were transferred from the geometry model are not needed
in this case. To remove surface-to-surface contact:
a. Expand the Connections branch in the Outline, then expand the Contacts branch. Highlight all of the
contact regions in the Contacts branch.
b. Right-click the highlighted contact regions, then select Delete.
Note that this step is not needed if your Mechanical options are configured so that automatic
contact detection is not performed upon attachment.
4. Define joints.
Joints will be defined in the model from left to right as shown below, using Body-Ground and
Body-Body joints as needed to solve the model.
2

Prior to defining joints, it is useful to select the Body Views button in the Connections toolbar. The
Body Views button splits the graphics window into three sections: the main window, the reference
body window, and the mobile body window. Each window can be manipulated independently. This
makes it easier to select desired regions on the model when scoping joints.
To define joints:
a. Select the drive pin face and link center hole face as shown below, then select Body-Body>Revolute
in the Connections toolbar.
3

b. Select the drive center hole face as shown below, then select Body-Ground>Revolute in the Connec-
tions toolbar.
c. Select the link face and actuator center hole face as shown below, then select Body-Body>Revolute
in the Connections toolbar.
d. Select the actuator face and the guide face as shown below, then select Body-Body>Translational in
the Connections toolbar.
4

e. Select the guide top face as shown below, then select Body-Ground>Fixed in the Connections toolbar.
5. Define joint coordinate systems.
The coordinate systems for each new joint must be properly defined to ensure correct joint motion.
Realign each joint coordinate system so that they match the corresponding systems pictured in step
4. To specify a joint coordinate system:
a. In the Outline, highlight a joint in the Joints branch.
5

b. In the joint Details view, click the Coordinate System field.The coordinate field becomes active.
c. Click the axis you want to change (i.e., X,Y, or Z). All 6 directions become visible as shown below.
d. Click the desired new axis to realign the joint coordinate system.
e. Select Apply in the Details view once the desired alignment is achieved.
6. Define a local coordinate system.
A local coordinate system must be created that will be used to define a spring that will be added
to the actuator.
a. Right-click the Coordinate Systems branch in the Outline, then select Insert>Coordinate System.
b. Right-click the new coordinate system, then select Rename. Enter Spring_fix as the name.
c. In the Spring_fix Details view, define the Origin fields using the values shown below:
6

7. Add a spring to the actuator.
a. Select the bottom face of the actuator as shown below, then select Body-Ground>Spring in the
Connections toolbar.
b. In the Reference section of the spring Details view, set the Coordinate System to Spring_fix.
c. In the Definition section of the spring Details view, specify:
Longitudinal Stiffness = 0.005 N/mm
Longitudinal Damping = 0.01 N*s/mm
7

8. Define analysis settings.
To define the length of the analysis:
a. Select the Analysis Settings branch in the Outline.
b. In the Analysis Settings Details view, specify Step End Time = 60. s
9. Define a joint load.
A joint load must be defined to apply a kinematic driving condition to the joint object. To define a
joint load:
a. Right-click the Transient branch in the Outline, then select Insert>Joint Load.
b. In the Joint Load Details view, specify:
Joint = Revolute - Ground To Drive
Type = Moment
Magnitude = Tabular (Time)
Graph and Tabular Data windows will appear.
c. In the Tabular Data window, specify that Moment = 5000 at Time = 60, as shown below.
10. Prepare the solution
8

a. Select Solution in the Outline, then select Deformation>Total in the Solution toolbar.
b. In the Outline, click and drag the link to actuator revolute joint to the Solution branch. Joint Probe
will appear under the Solution branch.
This is a shortcut for creating a joint probe that is already scoped to the joint in question. Because
we want to find the forces acting on this joint, the default settings in the details of the joint
probe are used.
c. Click the Solve button in the main toolbar.
11. Analyze the results
a. After the solution is complete, select Total Deformation under the Solution branch in the Outline. A
timeline animation of max/min deformation vs. time appears in the Graph window.
b. In the Graph window, select the Distributed animation type button, and specify 100 frames and 4
seconds, as shown below. (These values have been chosen for efficiency purposes, but they can be
adjusted to user preference.)
c. Click the Play button to view the animation.
d. Select the Joint Probe branch in the Outline,
e. In the Joint Probe Details view, specify X Axis in the Result Selection field.
f. Right-click the Joint Probe branch, then select Evaluate All Results.
The results from the analysis show that the spring-based actuator is adding energy in to the system
that is reducing the cycle time.
End of tutorial.
9

10

Nonlinear Static Structural Analysis of a Rubber Boot Seal
Problem Description
This is the same problem demonstrated in the Mechanical APDL Technology Demonstration Guide. See
Chapter 29: Nonlinear Analysis of a Rubber Boot Seal. The following example is provided only to
demonstrate the steps to setup and analyze the same model using Mechanical.
This rubber boot seal example demonstrates geometric nonlinearities (large strain and large deformation),
nonlinear material behavior (rubber), and changing status nonlinearities (contact). The objective of this
example is to show the advantages of the surface-projection-based contact method and to determine
the displacement behavior of the rubber boot seal, stress results.
A rubber boot seal with half symmetry is considered for this analysis. There are three contact pairs
defined; one is rigid-flexible contact between the rubber boot and cylindrical shaft, and the remaining
two are self contact pairs on the inside and outside surfaces of the boot.
• Hyperelastic Material Creation
• Remote Point
• Named Selection
• Manual Contact Generation
• Large Deflection
• Multiple Load Steps
11

• Nodal Contacts
Setting Up the Analysis System
1. Create a Static Structural analysis system.
b. On the Workbench Project page, drag a Static Structural system from the Toolbox to the Project
Schematic.
2. Create Materials.
For this tutorial, we are going to create a material to use during the analysis.
a. In the Static Structural schematic, right-click the Engineering Data cell and choose Edit.The Engineering
Data tab opens. Structural Steel is the default material.
b. From the Engineering Data tab, place your cursor in the Click here to add new material field and then
enter "Rubber Material".
12

c. Expand the Hyperelastic Toolbox menu:
i. Select the Neo-Hookean option, right-click, and select Include Property.
13

ii. Enter 1.5 for the Initial Shear Modulus (µ) Value and then select MPa for the Unit.
iii. Enter .026 for the Incompressibility Parameter D1 Value and then select MPa^-1 for the Unit.
d. Click the Return to Project toolbar button to return to the Project Schematic.
3. Attach Geometry.
a. In the Static Structural schematic, right-click the Geometry cell and choose Import Geometry>Browse.
14

b. Browse to the proper folder location and open the file BootSeal_Cylinder.agdb.This file is available
on the ANSYS Customer Portal; go to http://support.ansys.com/training.
Define the Model
The steps to define the model in preparation for analysis are described below. You may wish to refer
to the Modeling section of Chapter 29: Nonlinear Analysis of a Rubber Boot Seal in the Mechanical
APDL Technology Demonstration Guide to see the steps taken in the Mechanical APDL Application.
1. Launch Mechanical by right-clicking the Model cell and then choosing Edit. (Tip:You can also double-
click the Model cell to launch Mechanical).
2. Define Unit System: from the Menu bar , select Units> Metric (mm, kg, N, s, mV, mA). Also select Radians
as the angular unit.
3. Define stiffness behavior and thickness: expand the Geometry folder and select the Surface Body object.
Set the Stiffness Behavior to Rigid and enter a Thickness value of 0.01 mm.
15

4. In the Geometry folder, select the Solid geometry object. In the Details under the Material category, open
the Assignment property drop-down list and select Rubber Material.
5. Create a Cylindrical Coordinate System: Right-click the Coordinate Systems folder and select Insert>Co-
ordinate System. Highlight the new Coordinate System object, right-click, and rename it to "Cylindrical
Coordinate System".
Specify properties of the Cylindrical Coordinate System:
a. Under the Details view Definition category, change Type to Cylindrical and Coordinate System to
Manual.
b. Under the Origin group, change the Define By property to Global Coordinates.
16

c. Under Principal Axis select Z as the Axis value and set the Define By property to Global Y Axis.
d. Under Orientation About Principal Axis, select X as the Axis value and select Global Z Axis for the
Define By property.
6. Insert Remote Point: Right-click on the Model object and select Insert>Remote Point.
7. In Details view, scope the Geometry to cylinder’s exterior surface, set X Coordinate, Y Coordinate, and
Z Coordinate to 0, and specify the Behavior as Rigid.
17

8. Define Named Selections:
a. Right-click on the Model object and select Insert>Named Selection.
b. Select the exterior surface of the cylinder, Apply it as the Geometry, right-click, and Rename it to
Cylinder_Outer_Surface.
c. Right-click on the Surface Body object under the Geometry folder and select Hide Body.This step
eases the selection of the boot’s inner surfaces.
18

d. Highlight the Named Selection object and select Insert>Named Selection.
e. Select all of the inner faces of the boot seal as illustrated below and scope the faces as the Geometry
selection. Make sure that the Geometry property indicates that 24 Faces are selected.
Press the Ctrl key to select multiple surfaces individually or you can hold down the mouse button
and methodically drag the cursor across all of the interior surfaces. Note that the status bar at
the bottom of the graphics window displays the number of selected surfaces (highlighted in
green in the following image).
f. Right-click the new Selection object and Rename it to Boot_Seal_Inner_Surfaces.
19

g. Again highlight the Named Selection object and select Insert>Named Selection.
h. Reorient your model and select all of the outer faces of the boot seal as illustrated below and scope
the faces as the Geometry selection. Make sure that the Geometry property indicates that 27 Faces
are selected.
The selection process is the same. Press the Ctrl key to select multiple surfaces individually or
you can hold down the mouse button and methodically drag the cursor across all of the surfaces
(except the top surface of the boot).
20

i. Right-click the new Selection object and Rename it to Boot_Seal_Outer_Surfaces.
9. Insert a Connection Group and Manual Contacts:
a. Highlight the Connections folder, right-click, and select Insert>Connections Group.
21

b. Right-click on the Connections Group and select Insert>Manual Contact Region. Notice that Connec-
tion Group is automatically renamed to Contacts and that the new contact region requires definition.
c. Create a Rigid-Flexible contact between the rubber boot and cylindrical shaft by defining the following
Details view properties of the newly added Bonded-No Selection To No Selection.
• Scoping Method set to Named Selections.
• Contact set to Boot_Seal_Inner_Surfaces from drop-down list of Named Selections.
• Target set to Cylinder_Outer_Surface from drop-down list of Named Selections.
• Target Shell Face set to Top.
• Type set to Frictional.
• Frictional Coefficient Value equal to 0.2.
• Set Behavior set to Asymmetric.
• Detection Method set to On Gauss Point.
22

• Interface Treatment set to Add Offset, Ramped Effects.
23

Note
The name of the contact, Bonded-No Selection To No Selection, is automatically
renamed to Frictional - Boot_Seal_Inner_Surfaces To Cylinder_Outer_Surface.
24

d. Right-click the Contacts folder object and select Insert>Manual Contact Region. Set Contact at inner
surface of the boot seal. In details view of the newly added Bonded-No Selection To No Selection,
change the following properties:
• Scope set to Named Selection.
• Contact and Target set to Boot_Seal_Inner_Surfaces.
• Frictional Coefficient value equal to 0.2.
• Detection Method set to Nodal-Projected Normal From Contact.
Note
The Bonded-No Selection To No Selection is automatically renamed to Frictional
- Boot_Seal_Inner_Surfaces To Boot_Seal_Inner_Surfaces.
e. Right-click the Contacts folder object and select Insert>Manual Contact Region. Set Contact at inner
surface of the boot seal. Self Contact at outer surface of the boot seal. In details view of the newly added
Bonded-No Selection To No Selection, specify the following properties:
• Scoping Method set to Named Selection.
• Contact and Target set to Boot_Seal_Outer_Surfaces.
25

• Frictional Coefficient Value equal to 0.2.
• Detection Method set to Nodal-Projected Normal From Contact.
Note
Bonded-No Selection To No Selection is automatically renamed to Frictional -
Boot_Seal_Outer_Surfaces To Boot_Seal_Outer_Surfaces.
Analysis Settings
The problem is solved in three load steps, which include:
• Initial interference between the cylinder and boot.
• Vertical displacement of the cylinder (axial compression in the rubber boot).
• Rotation of the cylinder (bending of the rubber boot).
Load steps are specified through the properties of the Analysis Settings object.
1. Highlight the Analysis Settings object.
2. Define the following properties:
• Number of Steps equals 3.
• Auto Time Stepping set to On (from Program Controlled).
• Define By set to Substeps.
26

• Initial Substeps and Minimum Substeps set to 5.
• Maximum Substeps set to 1000.
• Large Deflection set to On.
3. For the second load step, define the properties as follows:
• Current Step Number to 2.
4. For the third load step, define the properties as follows:
• Current Step Number to 3.
27

Boundary Conditions
The model is constrained at the symmetry plane by restricting the out-of-plane rotation (in Cylindrical
Coordinate System). The bottom portion of the rubber boot is restricted in axial (Y axis) and radial dir-
ections (in Cylindrical Coordinate System).
1. Highlight the Static Structural (A5) object and:
• select the two faces (press the Ctrl key and then select each face) of the rubber boot seal as illustrated
here.
• right-click and select Insert>Displacement.
2. Set the Coordinate System property to Cylindrical Coordinate System and the Y Component property
to 0.
28

3. Highlight the Static Structural (A5) object and select the face illustrated here. Insert another Displacement
and set the Y Component to 0 (Coordinate System should equal Global Coordinate System).
4. Insert another Displacement scoped as illustrated here and set the Coordinate System property to Cyl-
indrical Coordinate System and the X Component property to 0.
29

5. Insert a Remote Displacement from the Support drop-down menu on the Environment toolbar.
6. Specify Remote Point as the Scoping Method.
7. Select the Remote Point created earlier (only option) for the Remote Points property.
8. Change the X Component, Y Component, Z Component, Rotation X, Rotation Y, and Rotation Z prop-
erties to Tabular (Time) as illustrated below.
9. In the Tabular Data specify:
• Y value for Step 2 and Step 3 as -10 mm.
30

• RZ value for Step 3 as 0.55 [rad].
Results and Solution
1. Highlight the Solution and then select Deformation>Total Deformation from the Solution toolbar.
2. Specify the Geometry as the boot body only, and set the Definition category property By as Time and the
Display Time property as Last.
3. Highlight the Solution and then select Stress>Equivalent (von-Mises) from the Solution toolbar.
4. Specify the Geometry as the boot body only, and set the Definition category property By as Time and
the Display Time property as Last.
31

5. Highlight the Solution and then select Strain>Equivalent (von-Mises) from the Solution toolbar.
6. Specify the Geometry as the boot body only, and set the Definition category property By as Time and
the Display Time property as Last.
7. Click the Solve button.
Note
• The default mesh settings mesh keep mid-side nodes in elements creating SOLID186 elements
(See Solution Information).You can drop mid-side nodes in Mesh Details view under the Advanced
group.This allows you to mesh and solve faster with lower order elements.
• Although very close, the mesh generated in this example may be slightly different than the one
generated in the Chapter 29: Nonlinear Analysis of a Rubber Boot Seal in the Mechanical APDL
Technology Demonstration Guide.
Review Results
The solution objects should appear as illustrated below. You can ignore any warning messages.
For a more detailed examination and explanation of the results, see the Results and Discussion section
of Chapter 29: Nonlinear Analysis of a Rubber Boot Seal in the Mechanical APDL Technology Demonstration
Guide.
Total Deformation at Maximum Shaft Angle
32

Equivalent Elastic Strain at Maximum Shaft Angle (at the end of 3 seconds)
Equivalent Stress (Von-Mises Stress) at Maximum Shaft Angle
33

End of tutorial.
34

Cyclic Symmetry Analysis of a Rotor - Brake Assembly
Program Description
This tutorial demonstrates the use of cyclic symmetry analysis features in the Mechanical Application
to study a sector model consisting of a rotor and brake assembly in frictional contact. With increased
loading of the brake, the contact status between the pad and the rotor changes from “near”
, to “sliding”
,
to “sticking”
. Each of these contact states affects the natural frequencies and resulting mode shapes of
the assembly. Three pre-stress modal analyses are used to verify this phenomenon.
• Cyclic Regions
• Named Selections based on Criteria
• Thermal Steady-State Analysis with Cyclic Symmetry
• Static Structural Analysis with Cyclic Symmetry
• Modal Analysis with Cyclic Symmetry
• Generation of Restart Points
35

• Modal Analysis with Nonlinear Prestress (Linear Perturbation)
Note
The procedural steps in this tutorial assume that you are familiar with basic navigation
techniques within the Mechanical application. If you are new to using the application, consider
running the tutorial:“Steady-State and Transient Thermal Analysis of a Circuit Board” before
attempting to run this tutorial.
Analysis System Layout
We will tour the different analysis systems that can leverage cyclic symmetry functionality. These comprise
thermal, static structural and modal analyses:
• A steady-state thermal analysis will be used to calculate the temperature distribution for the evaluation of
any temperature-dependent material properties or thermal expansions in subsequent analyses.
• A nonlinear static structural analysis is configured to represent the mechanical loading of the brake onto
the rotor. Nonlinearities from large deformation and changes in contact status are included.
• Modal analyses, each at different stages of frictional contact status, are established to compare the free vi-
bration responses of the model.
1. Create the analysis systems.
You need to establish a static structural analysis that is linked to a steady-state thermal analysis,
then establish three modal analyses that are linked to the static structural analysis.
b. From the Toolbox, drag a Steady-State Thermal system onto the Project Schematic.
c. From the Toolbox, drag and drop a Static Structural system onto the Steady-State Thermal system
such that cells 2, 3, 4, and 6 are highlighted in red.
d. The systems are displayed as follows:
36

e. To measure the free vibration response, go to the Toolbox, drag and drop a Modal system onto the
Static Structural system such that cells 2, 3, 4, and 6 are highlighted in red.
f. Repeat step e two more times to complete adding the remaining analysis systems.The layout of the
analysis systems and interconnections in the Project Schematic should appear as shown below.
2. Assign materials.
Accept Structural Steel (typically the default material) for the model.
37

a. In the Steady-State Thermal schematic, right-click the Engineering Data cell and choose Edit....The
Engineering Data tab opens and displays Structural Steel as the default material.
b. Click the Return to Project toolbar button.
3. Attach geometry.
a. In the Steady-State Thermal schematic, right-click the Geometry cell, and then choose Import Geo-
metry.
b. Browse to open the file Rotor_Brake.agdb.This file is available on the ANSYS Customer Portal; go
to http://support.ansys.com/training.
Define the Cyclic Symmetry Model
We now specify the cyclic symmetry for our quarter sector model (N = 4, 90 degrees) and prepare other
general aspects of modeling in the Mechanical application. To setup a cyclic symmetry analysis, Mech-
anical uses a Cyclic Region object. This object requires selection of the sector boundaries, together
with a cylindrical coordinate system whose Z axis is colinear with the axis of symmetry, and whose Y
axis distinguishes the low and high boundaries.
1. Enter the Mechanical Application and set unit systems.
a. In the Steady-State Thermal schematic, right-click the Model cell, and then choose Edit....The
Mechanical Application opens and displays the model.
b. From the Menu bar , choose Units> Metric (mm, kg, N, s, mV, mA) .
2. Define the Coordinate System to specify the axis of symmetry.
a. Right-click Coordinate Systems in the tree and choose Insert> Coordinate System.
b. In the Details view of the newly-created Coordinate System, set Type to Cylindrical and Define By
to Global Coordinates.
3. Define the Cyclic Region object.
a. Right-click Model in the tree and choose Insert> Symmetry.
b. Right-click Symmetry and choose Insert> Cyclic Region.The direction of the Y-axis should be compat-
ible with the selection of low and high boundaries.The low boundary is designated as the one with a
lower value of Y or azimuth.
c. Select the three faces that have lower azimuth for the low boundary.These faces are highlighted in
blue in the figure below.
d. Select the three matching faces on the opposite end of the sector for the high boundary.These faces
are highlighted in red in the figure below
38

4. Define Connections. Frictional contact exists between the rotor and brake pad, whereas bonded contact
exists between the wall and the rotor.
a. Expand the Connections folder in the tree, then expand the Contacts folder.Within the Contacts
folder, two contact regions were detected automatically and displayed as Contact Region and Contact
Region 2.
b. Right-click the Contacts folder and choose Renamed Based on Definition.The contact region names
automatically change to Bonded - Pad to Rotor and Bonded - Blade to Wall respectively.
c. Highlight Bonded - Pad to Rotor and in the Details view, set Type to Frictional. Note that the name
of the object changes accordingly.
d. In the Friction Coefficient field, type 0.2 and press Enter.
Note
For higher values of contact friction coefficient a damped modal analysis would be
needed. At a level of 0.2 damping effects are being neglected.
Generate the Mesh
In the following section we’ll use mesh controls to obtain a mesh of regular hexahedral elements. The
Cyclic Region object will guarantee that matching meshes are generated on the low and high boundaries
of the cyclic sector.
Taking advantage of the shape and dimensions of the model, Named Selections will be used to choose
the edge selections for each mesh control.
Mesh control: Element Size on Pad-Wall-Rotor:
39

1. Create a Named Selection for this Mesh Control.
a. Right-click on Model and choose Insert> Named Selection.
b. Highlight the Selection object, and set Scoping Method to Worksheet.
c. Program the Worksheet, as shown below, to select the edges at 90 degrees of azimuth in the cylindrical
coordinate system, keeping those in the z-axis range [1mm, 6 mm] (to remove the thickness of the
wall).To add rows to the Worksheet, right-click in the table and select the option from the flyout menus.
d. Click the Generate button.You should see 11 edges.
e. Rename the object to Edges for Wall Rotor Pad Sector Boundary.The selection should display as
follows:.
Note
It may be useful to undock the Worksheet window and tile it with the Geometry
view as shown above.
2. Insert a Mesh Sizing control.
a. Right-click on Mesh and choose Insert> Sizing.
b. Set Scoping Method to Named Selection.
c. Choose the named selection defined in the previous step.
40

d. Set its Element Size to 0.5 mm.
e. Set Behavior to Soft.
Mesh control: Number of Divisions on Pad-Rotor:
1. Create a Named Selection to pick the circular edges in the orifice of the pad and rotor.
This Named Selection will pick the circular edges in the orifice of the pad and rotor, which is within
a radius of 5 mm.
c. Rename the object to Edges for Rotor Pad Orifice.
d. Program the Worksheet, as shown below.
e. Click the Generate button.You should see 4 edges.
2. Insert a Mesh Sizing Control as before to select this Named Selection.
d. Set its Type to Number of Divisions and specify 9.
e. Set Behavior to Hard.
Mesh control: Element Size on Wall-Blade
1. Create a Named Selection object to pick the thicknesses of the Wall and Blade.
c. Rename the object to Edges for Wall Blade Thicknesses.
d. Program the Worksheet as shown below.
41

d. Set its Element Size to 1 mm.
Mesh Control: Number of Divisions on Blade - Longer Edges
1. Create a Named Selection object to pick the longer edges of the Blade.
c. Rename the object to Edges for Blade.
Mesh Control: Number of Divisions on Blade - Shorter Edges
42

1. Create a Named Selection object to pick the shorter edges of the Blade.
c. Rename the object to Edges for Blade 2.
Mesh Control: Method on Pad-Rotor-Wall-Blade
1. Insert a Sweep Method control.
a. Right-click Mesh in the tree and choose Insert> Method.
b. Select all the bodies by choosing Edit> Select All from the toolbar, then click the Apply button.
c. In the Details view, set Method to Sweep.
d. Set Free Face Mesh Type to All Quad.
Generate the Mesh
• For convenience, select all 6 mesh controls defined, right-click and choose Rename Based on Definition.
• Right-click Mesh in the tree and choose Generate Mesh.The mesh should appear as shown below:
43

Steady-State Thermal Analysis
We now proceed to define the boundary conditions for a thermal analysis featuring cyclic symmetry.
Thermal boundary conditions are prescribed throughout the model while steering clear of the faces
comprising the sector boundaries since temperature constraints are already implied there.
1. Define a convection interface.
a. Right-click Steady-State Thermal in the tree and choose Insert> Convection.
b. Select the outer faces of the Wall and the Blade as shown in the figure (8 faces).
c. Specify a Film Coefficient of air by right-clicking on the property and choosing Import Temperature
Dependent upon which you choose Stagnant Air - Simplified Case.
2. Insulate the upper and lower faces of the Wall.
• Select the upper and lower faces of the Wall, then right-click and choose Insert> Perfectly Insulated.
3. Apply a temperature load to the Pad and Rotor.
44

a. Select the remaining faces on the assembly on the Pad and the Rotor, then right-click and choose Insert>
Temperature. Exclude any faces on the sector boundaries or in the frictional contact.
b. Type 100°C as the Magnitude and press Enter.
4. Solve and review the temperature distribution.
a. Right-click Solution under Steady-State Thermal and choose Insert> Thermal> Temperature.
b. Solve the steady-state thermal analysis.
c. Review the temperature result by highlighting the Temperature result object.
Note
Although insignificant in this model, temperature variations and their effect on the
structural material properties are generally important to the formulation of physically
accurate models.
Static Structural Analysis
In this analysis, the brake is loaded onto the rotor in a single load step. The contact status is monitored
at various stages of loading and three points are selected as pre-stress conditions for subsequent
modal analyses. Because both contact and geometric nonlinearities are present, each pre-stress condition
will present a different effective stiffness matrix to its corresponding modal analysis.
The solver uses restart points, generated in the static analysis, to record the snapshot of the nonlinear
tangent stiffness matrices and transfers them into the subsequent linear systems. This technique is re-
ferred to as Linear Perturbation.
45

1. Apply the pressure and boundary conditions to engage the brake pad into the rotor.
a. Select the bottom face of the Pad as shown below. Right-click the Static Structural object in the tree
and choose Insert> Pressure.
b. In the Details view, click the Magnitude flyout menu, choose Function, and specify: =time*time*4000,
then press Enter.This represents a quadratic function reaching 4000 MPa by the end of the load step.
c. Set up the frictionless supports on the faces of Blade,Wall and Pad as shown below.
2. Configure the Analysis Settings.
a. Set Auto Time Stepping to On.
b. Set Define By to Substeps.
c. Set Initial Substeps to 30.
d. Set Minimum Substeps to 10.
e. Set Maximum Substeps to 30.
f. Set Large Deflection to On to activate geometric nonlinearities.
g. To ensure that Restart Points are generated, under Restart Controls, set Generate Restart Points to
Manual, and request to retain All Files for load steps and substeps. Maximum Points to Save should
also be set to All.
3. Proceed to solve the model using the standard procedure.
46

Reviewing the contact status changes during the course of the load application
The contact status will change with increasing loads from Near, to Sliding, to Sticking. A status change
from Near to Sliding reflects the engagement of contact impenetrability conditions (normal direction).
A change from Sliding to Sticking, reflects additional engagement of contact friction conditions (tangential
direction). This progression will generally reflect an increased effective stiffness in the tangent stiffness
matrix, which can be illustrated by a Force-deflection curve:
To review the contact status, insert a Contact Tool in the Solution folder. To display only the contact
results at the frictional contact, unselect Bonded - Wall To Blade in the Contact Tool Worksheet. Insert
three different Contact Status results with display times at 0.03, 0.5 and 0.8 seconds, which should reveal
the progression in contact status as shown below (from left to right):
The legend for these contact status plots is as follows:
• Yellow - Near
• Light Orange - Sliding
• Dark Orange - Sticking
47

Modal Analysis
There are three modal analyses to study the effect of contact status and stress stiffening on the free
vibration response of the structure. Each of these will be based on a different restart point in the static
structural analysis.
To see all available restart points, you can inspect the timeline graph displayed when the Analysis
Settings object of the Static Structural analysis is selected after solving. Restart points are denoted as
blue triangle marks atop the graph:
To select the restart point of interest, go to the Pre-Stress (Static Structural) object under each Modal
Analysis. Make sure Pre-Stress Define By is set to Time and specify the time. The object will acknow-
ledge the restart point in the Reported Loadstep, Reported Substep and Reported Time fields.
Configure the Modal analyses as follows:
• In Modal 1 set Pre-Stress Time to 0.033 seconds.
Because the boundary conditions (that is, the frictionless supports) are automatically imported from
the static analysis, we can proceed directly to solve.
Solving and Reviewing Modal Results
We'll monitor the lowest frequencies of vibration which belong to Harmonic Indices 0 (symmetric) and
2 (anti-symmetric).
1. Right-click on the Solution folder of each Modal analysis and choose Solve.
2. When the solutions complete, go to the Tabular Data window of each modal analysis.You can inspect
the listing of modes and their frequencies. Because our structure has a symmetry of N=4, there will be
three solutions, namely for Harmonic Indices 0, 1 and 2.
3. In the Tabular Data window of each modal analysis, select the two rows for Harmonic Index 0 - Mode 1
and Harmonic Index 2 - Mode 1. Right-click and choose Create Mode Shape Results.
The image below shows this view for the first Modal analysis:
48

An interesting alternative to this view is to see the sorted frequency spectrum. You may review this
by setting the X-Axis to Frequency on any of the Total Deformation results in each modal analysis:
At this point, each modal analysis should have two results for Total Deformation to inspect the first
Mode of Harmonic Indices 0 and 2.
Recall the meaning of Harmonic Index solutions and how they apply to the model. Harmonic Index
0 represents the constant offset in the discrete Fourier Series representation of the model and cor-
responds to equal values of every transformed quantity, for example, displacements in X, Y and Z
directions, in consecutive sectors. Thus deformations that are axially positive in one sector will have
the same axially positive value in the next. The following picture compiles, from left to right, the
mode shapes for the Near, Sliding and Sticking status at Harmonic Index 0:
Notice how increased engagement of the frictional contact in the assembly has the effect of producing
higher frequency vibrations. Also, the mode of vibration goes from being localized at the contact
interface when the contact is Near, but is forced to distribute throughout the wall of the rotor as
the contact sticks.
Note
You may need to specify Auto Scale on the Results toolbar so the mode shapes are
plotted as shown.
49

Harmonic Index 2 solutions correspond to N/2 for our sector (90 degrees or N = 4). This Harmonic
Index, sometimes called the asymmetric term in the Fourier Series, represents alternation of quant-
ities in consecutive sectors. A positive axial displacement at a node in one sector becomes negative
in the next, a radially outward displacement in one sector will become inward in the next, and so
on. The following are the results for the first mode of this Harmonic Index:
The lowest mode shows nearly independent vibration of the rotor relative to the blade. On the
highest mode, sticking reduces this relative movement.
For a continued discussion on post-processing for Cyclic Symmetry and especially on features for
postprocessing degenerate Harmonic Indices (those between 0 and N/2), please see Reviewing
Results for Cyclic Symmetry in a Modal Analysis in the Mechanical help.
End of tutorial.
50

Steady-State and Transient Thermal Analysis of a Circuit Board
Problem Description
The circuit board shown below includes three chips that produce heat during normal operation. One
chip stays energized as long as power is applied to the board, and two others energize and de-energize
periodically at different times and for different durations. A Steady-State Thermal analysis and Transient
Thermal analysis are used to study the resulting temperatures caused by the heat developed in these
chips.
Features Illustrated
• Linked analyses
• Attaching geometry
• Model manipulation
• Mesh method and sizing controls
• Constant and time-varying loads
• Solving
• Time-history results
• Result probes
• Charts
Procedure
1. Create analysis system.
51

You need to establish a transient thermal analysis that is linked to a steady-state thermal analysis.
b. From the Toolbox, drag a Steady-State Thermal system onto the Project Schematic.
c. From the Toolbox, drag a Transient Thermal system onto the Steady-State Thermal system such
that cells 2, 3, 4, and 6 are highlighted in red.
d. Release the mouse button to define the linked analysis system.
2. Attach geometry.
a. In the Steady-State Thermal schematic, right-click the Geometry cell, and then choose Import Geo-
metry.
b. Browse to open the file BoardWithChips.x_t.This file is available on the ANSYS Customer Portal;
3. Continue preparing the analysis in the Mechanical Application.
a. In the Steady-State Thermal schematic, right-click the Model cell, and then choose Edit.The Mechan-
ical Application opens and displays the model.
b. For convenience , use the Rotate toolbar button to manipulate the model so it displays as shown below.
52

Note
You can perform the same model manipulations by holding down the mouse wheel
or middle button while dragging the mouse.
c. From the Menu bar , choose Units> Metric (m, kg, N, s,V, A) .
4. Set mesh controls and generate mesh.
Setting a specific mesh method control and mesh sizing controls will ensure a good quality mesh.
Mesh Method:
a. Right-click Mesh in the tree and choose Insert> Method.
b. Select all bodies by choosing Edit> Select All from the toolbar, then clicking the Apply button in the
Details view.
c. In the Details view, set Method to Hex Dominant, and Free Face Mesh Type to All Quad.
Mesh Body Sizing – Board Components:
a. Right-click Mesh in the tree and choose Insert> Sizing.
b. Select all bodies except the board by first enabling the Body selection toolbar button, then holding
the Ctrl keyboard button and clicking on the 15 individual bodies. Click the Apply button in the Details
view when you are done selecting the bodies.
c. Change Element Size from Default to 0.0009 m.
Mesh Body Sizing – Board:
a. Right-click Mesh in the tree and choose Insert> Sizing.
b. Select the board only and change Element Size from Default to 0.002 m.
Generate Mesh:
• Right-click Mesh in the tree and choose Generate Mesh.
53

5. Apply internal heat generation load to chip.
The chip on the board that is constantly energized represents an internal heat generation load of
5e7 W/m3
.
a. Select the chip shown below by first enabling the Body selection toolbar button, then clicking on the
chip.
b. Right-click Steady-State Thermal in the tree and choose Insert> Internal Heat Generation.
c. Type 5e7 in the Magnitude field and press Enter.
General items to note:
• The applied loads are shown using color coded labels in the graphics.
• Time is used even in a steady-state thermal analysis.
• The default end time of the analysis is 1 second.
54

• In a steady-state thermal analysis, the loads are ramped from zero.You can edit the table of load vs.
time to modify the load behavior.
• You can also type in expressions that are functions of time for loads.
6. Apply a convection load to the entire circuit board.
The entire circuit board is subjected to a convection load representing Stagnant Air - Simplified
Case.
a. Select all bodies by choosing Edit> Select All.
b. Choose Convection from the Environment toolbar.
c. Import temperature dependent convection coefficient and choose Stagnant Air - Simplified Case.
Note that the Ambient Temperature defaults to 22o
C.
i. Click the flyout menu in the Film Coefficient field and choose Import Temperature Dependent
(adjacent to the thermometer icon).
ii. Click the radio button for Stagnant Air - Simplified Case, then click OK.
7. Prepare for a temperature result.
The resulting temperature of the entire model will be reviewed.
• Right-click Solution in the tree under Steady-State Thermal and choose Insert> Thermal> Temperature.
8. Solve the steady-state thermal analysis.
• Choose Solve from the toolbar.
9. Review the temperature result.
• Highlight Temperature in the tree.
You have completed the steady-state thermal analysis, which is the first part of the overall objective
for this tutorial. You will perform the transient thermal analysis in the remaining steps.
Items to note in preparation for the transient thermal analysis:
• If you highlight Initial Temperature under Transient Thermal in the tree, you will notice in the Details
view, the read only displays of Initial Temperature and Initial Temperature Environment. In general,
the initial temperature can be:
55

– Uniform Temperature - where you specify a temperature for all bodies in the structure at time = 0,
or
– Non-Uniform Temperature - (as in this example) where you import the temperature specification at
time = 0 from a steady-state analysis.
• The initial temperature environment is from the steady-state thermal analysis that you just performed.
By default the last set of results from the steady-state analysis will be used as the initial condition.You
can specify a different set (different time point) if multiple result sets are available.
10. Specify a time duration for the transient analysis.
A time duration of the transient study will be 200 seconds.
• Under Transient Thermal, highlight the Analysis Settings object and enter 200 in either the Step End
Time field in the Details view or in the End Time column in the Tabular Data window. Also note and
accept the default initial, maximum, and minimum time step controls for this analysis.
11. Apply internal heat generation to simulate on/off switching on first chip.
A chip on the board is energized between 20 and 40 seconds and represents an internal heat gen-
eration load of 5e7 W/m3
during this period.
chip.
b. Right-click Transient Thermal in the tree and choose Insert> Internal Heat Generation.
c. Enter the following data in the Tabular Data window:
56

• Time = 0; Internal Heat Generation = 0
Note
Enter each of the following sets of data in the row beneath the end time of 200 s.
• Time = 20.1; Internal Heat Generation = 5e7
• Time = 40; Internal Heat Generation = 5e7
• Time = 40.1; Internal Heat Generation = 0
The Graph window reflects the data that you entered.
General items to note:
• Loads can be specified as one of three types:
– Constant – remains constant throughout the time history of the transient.
– Tabular (Time) – (as in this example) define a table of load vs. time.
– Function – enter a function such as“=10*sin(time)”to define a variation of load with respect to
time.The function definition requires you to start with a ‘=‘ as the first character.
12. Apply internal heat generation to simulate on/off switching on second chip.
Another chip on the board is energized between 60 and 70 seconds and represents an internal heat
generation load of 1e8 W/m3
during this period.
chip.
57

b. Right-click Transient Thermal in the tree and choose Insert> Internal Heat Generation.
c. Enter the following data in the Tabular Data window:
Note
Enter each of the following sets of data in the row beneath the end time of 200 s.
• Time = 60.1; Internal Heat Generation = 1e8
• Time = 70; Internal Heat Generation = 1e8
• Time = 70.1; Internal Heat Generation = 0
The Graph window reflects the data that you entered.
13. Prepare for a temperature result.
The resulting temperature of the entire model will be reviewed.
• Right-click Solution in the tree under Transient Thermal and choose Insert> Thermal> Temperature.
14. Solve the transient thermal analysis.
58

• Click the right mouse button again on Solution and choose Solve.The solution is complete when green
checks are displayed next to all of the objects.You can ignore the Warning message and click the Graph
tab.
15. Review the time history of the temperature result for the entire model.
• Highlight the Temperature object.The time history of the temperature result for the entire model is
evaluated and displayed.
– The Tabular Data window shows the min/max values of temperature at a time point.
– By moving the mouse, you can move the bar along the Graph as shown, to any time, click the right
mouse button and Retrieve this Result to review the results at a particular time.
– You can also animate the solution.
16. Review the time history of the temperature result for each of the chips.
Temperature probes are used to obtain temperatures at specific locations on the model.
a. Right-click Solution and choose Insert> Probe> Temperature.
b. Select the chip to which internal heat generation was applied in the steady state analysis and click the
Apply button in the Details view.
c. Follow the same procedure to insert two more probes for the two chips with internal heat generations
in the transient thermal analysis.
d. Right-click Solution or Temperature Probe and choose Evaluate All Results.
17. Plot probe results on a chart.
a. Select the three temperature probes in the tree and select the New Chart and Table button from the
toolbar.
A Chart object is added to the tree.
59

b. Right-click in the white space outside the chart in the Graph window and choose Show Legend.
c. In the Details view, you can change the X Axis variable as well as selectively omit data from being dis-
played.
You have completed the transient thermal analysis and accomplished the second part of the overall
objective for this tutorial.
End of tutorial.
60

Delamination Analysis using Contact Based Debonding Capability
Problem Description
This tutorial demonstrates the use of Contact Debonding feature available in Mechanical by examining
the displacement of two 2D parts on a double cantilever beam. This same problem is demonstrated in
VM255. The following example is provided to demonstrate the steps to setup and analyze the same
model using Mechanical.
As illustrated below, a two dimensional beam has a length of 100mm and an initial crack of length of
30mm at the free end that is subjected to a maximum vertical displacement (Umax) at the top and
bottom of the free end nodes. Two vertical displacements, one positive and one negative, are applied
to determine the vertical reaction at the end point. The point of fracture is at the vertex of the crack
and the interface edges.
This tutorial also examines how to prepare the necessary materials that work in cooperation with the
Contact Debonding feature.
• Engineering Data/Materials
• Static Structural Analysis
61

• Contact Regions
• Contact Debonding
Procedure
1. Create static structural analysis.
a. Open ANSYS Workbench.
Schematic.The Project Schematic should appear as follows.The properties window does not display
unless you have made the required selection; right-click a cell and select Properties.
2. Define materials.
a. In the Static Structural schematic, right-click the Engineering Data cell and choose Edit.The Engin-
eering Data tab opens and displays Structural Steel as the default material.
b. Click the box below the field labeled "Click here to add new material" and enter the name "Interface
Body Material".
c. Expand the Linear Elastic option in the Toolbox and right-click Orthotropic Elasticity. Select Include
Property.The required properties for the material are highlighted in yellow.
62

d. Define the new material by entering the following property values and units of measure into the cor-
responding fields.
Unit
Value
Property
MPa
1.353E+05
Young’s Modulus X Direction
MPa
9000
Young’s Modulus Y Direction
MPa
9000
Young’s Modulus Z Direction
NA
0.24
Poisson’s Ratio XY
NA
0.46
Poisson’s Ratio YZ
NA
0.24
Poisson’s Ratio XZ
MPa
5200
Shear Modulus XY
MPa
0.0001
Shear Modulus YZ
MPa
0.0001
Shear Modulus XZ
Once complete, the properties for the material should appear as follows.
e. Now you need to create a new Material that specifies the formulation used to introduce the fracture
mechanism. For this tutorial, the Cohesive Zone Material (CZM) method is used. Click the field labeled
"Click here to add new material" and enter the name“CZM Crack Material”
.
63

f. Expand the Cohesive Zone option in the Toolbox and right-click Fracture-Energies based Debonding.
Select Include Property.The required properties for the material are highlighted in yellow.
g. Define the new material by entering the following property values and units of measure into the cor-
responding fields.
Unit
Value
Property
NA
No
Tangential Slip Under Normal Compression
Pa
1.7E+06
Maximum Normal Contact Stress
J
m^-2
280
Critical Fracture Energy for Normal Separation
Pa
1E-30
Maximum Equivalent Tangential Contact
Stress
J
m^-2
1E-30
Critical Fracture Energy for Tangential Slip
s
1e-8
Artificial Damping Coefficient
The properties for the material should appear as follows.
64

3. Attach geometry.
a. In the Static Structural schematic, right-click the Geometry cell and choose Import Geometry>Browse.
b. Browse to the proper location and open the file 2D_Fracture_Geom.agdb.This file is available on
the ANSYS Customer Portal; go to http://support.ansys.com/training.
c. Right-click the Geometry cell and select Properties. In the Properties window, set the Analysis Type
property to 2D.
The Project Schematic should appear as follows:
4. Launch Mechanical. Right-click the Model cell and then choose Edit. (Tip:You can also double-click the
cell to launch Mechanical).
5. Define unit system. From the menu bar in Mechanical, select Units>Metric (mm, kg, N, s, mV, mA).
6. Define 2D behavior.
a. Select the Geometry folder.
b. In the Details pane, set the 2D Behavior property to Plane Strain.This constrains all of the UZ degrees
of freedom. See the 2D Analyses section for additional information about this property.
65

7. Apply material.
a. Expand the Geometry folder and select the Part 2 folder.
b. In the Details pane, set the Assignment property to Interface Body Material. Selecting the Part folder
allows you to assign the material to both parts at the same time.
8. Define contact region.
66

a. Expand the Connections folder and the Contacts folder. A Contact Region object was automatically
generated for the entire interface of the two parts.
b. Select the Edge selection filter (on the Graphics Toolbar) and highlight an edge in the center of the
model. Using the Depth Picking tool, select the first rectangle in the stack, and then scope the edge as
the geometry (Apply in the Contact property).
This tutorial employs the Depth Picking tool because of the close proximity of the two edges
involved in the interface. As illustrated here, the graphics window displays a stack of rectangles
in the lower left corner. The rectangles are stacked in appearance, with the topmost rectangle
representing the visible (selected) geometry and subsequent rectangles representing additional
geometry selections. For this example, the topmost geometry is the "high" edge.
c. Select the Edge selection filter and highlight an edge in the center of the model. Using the Depth
Picking tool, select the second rectangle in the stack, and then scope the edge as the geometry (Apply
in the Target property).
Verify that Bonded is selected as the contact Type and that Pure Penalty is set as the Formu-
lation.
67

d. Rename the contact "Body".
9. Define Mesh Options and Controls.
a. Select the Mesh object. Define the following Mesh object properties:
• Set Use Advanced Size Function (Sizing category) to Off.
• Enter an Element Size (Sizing category) of 0.750.
• Set Element Midside Nodes (Advanced category) to Kept.
b. Right-click the Mesh object and select Insert>Sizing.This mesh sizing control should be scoped to the
four side edges.
68

c. In the Details view, enter 0.75 mm as the Element Size.
d. Select the Edge selection filter (on the Graphics Toolbar) and highlight an edge in the center of the
model. Use the Depth Picking tool and, holding the Ctrl key, select both rectangles in the lower left
corner of the graphics window. Continue to hold the Ctrl key, and select an edge of the crack. Again,
use the Depth Picking tool and select both rectangles in the lower left corner of the graphics window.
Still holding the Ctrl key, select the top and bottom edges on the model.
e. Right-click the Mesh object and select Insert>Sizing.This mesh sizing control should be scoped to six
(top and bottom and the four interface edges) edges.
f. In the Details view, enter 0.5 mm as the Element Size.
g. Right-click the Mesh object and select Generate Mesh.
10. Specify Contact Debonding object.
a. Insert a Fracture folder into the tree by highlighting the Model object and then selecting the Fracture
button on the Model Context Toolbar.
69

b. Right-click and select Insert>Contact Debonding.You could also select the Contact Debonding
button on the Fracture Context Toolbar.
c. In the Details pane, set the Material property to CZM Crack Material.
70

d. In the Details pane, set the Contact Region property to Body.
The Contact Debonding object is complete.
71

a. Select the Analysis Settings object.
b. Set the Auto Time Setting property to On and then enter 100 for the Initial Substeps, Minimum
Substeps, and Maximum Substeps properties.
12. Apply boundary conditions.
a. Select the Edge selection filter and select the two edges on the side of the model that is opposite of
the crack. Select one edge, press the Ctrl key, and then select the next edge.
72

b. Highlight the Static Structural object, select the Supports menu on the Environment Context Toolbar,
and then select Fixed Support.
c. Highlight the Static Structural object.With the Vertex selection filter active, select the vertex illustrated
below, select the Supports menu and then select Displacement.
In the Details pane, enter 10 (mm in the positive Y direction) as the loading value for the Y
Component property.
d. Create another Displacement.With the Vertex selection filter active, select the bottom vertex, and
then select Supports>Displacement. Enter -10 (mm in the negative Y direction) as the loading value
for the Y Component property.
73

13. Specify result objects and solve.
a. Highlight the Solution object, select the Deformation menu on the Solution Context Toolbar, and
then select Directional Deformation.
b. Under the Definition category in the Details view, set the Orientation property to Y Axis.
c. Highlight the Solution object, select the Probe menu on the Solution Context Toolbar, and then select
Force Reaction.
d. Select Displacement for the Boundary Condition property of the probe.
e. Click the Solve button.
14. Review the results. Highlight the Directional Deformation and Force Reaction objects. Results appear
as follows:
74

You may wish to validate results against those outlined in the verification test case (VM255). This is
most easily accomplished by creating User Defined Results using the Worksheet.
End of tutorial.
75

76

Interface Delamination Analysis of Double Cantilever Beam
Problem Description
This tutorial demonstrates the use of Interface Delamination feature available in Mechanical by examining
the displacement of two 2D parts on a double cantilever beam. This same problem is demonstrated in
VM248. The following example is provided to demonstrate the steps to setup and analyze the same
model using Mechanical.
As illustrated below, a two dimensional beam has a length of 100mm and an initial crack of length of
30mm at the free end that is subjected to a maximum vertical displacement (Umax) at the top and
bottom of the free end nodes. Two vertical displacements, one positive and one negative, are applied
to determine the vertical reaction at the end point. The point of fracture is at the vertex of the crack
and the interface edges.
This image illustrates the dimension of the model.
This tutorial also examines how to prepare the necessary materials and mesh controls that work in co-
operation with the Interface Delamination feature.
• Engineering Data/Materials
77

• Static Structural Analysis
• Match Control
• Interface Delamination
Procedure
1. Create static structural analysis.
a. Open ANSYS Workbench.
Schematic.The Project Schematic should appear as follows.The properties window does not display
unless you have made the required selection; right-click a cell and select Properties.
Note
The Interface Delamination feature is only available for Static Structural and Transient
Structural analyses.
2. Assign materials.
This analysis requires the creation of the proper materials using the Engineering Data feature of
Workbench. We will define a new Orthotropic Elastic material for the model as well as a Cohesive
Zone Bilinear material for the Interface Delamination feature.
a. In the Static Structural schematic, right-click the Engineering Data cell and choose Edit.The Engin-
eering Data tab opens and displays Structural Steel as the default material.
b. Click the box labeled "Click here to add new material" and enter the name "Interface Body Material".
c. Expand the Linear Elastic option in the Toolbox and right-click Orthotropic Elasticity. Select Include
Property.The required properties for the material are highlighted in yellow.
78

d. Define the new material by entering the following property values and units of measure into the cor-
responding fields.
Unit
Value
Property
MPa
1.353E+05
Young’s Modulus X Direction
MPa
9000
Young’s Modulus Y Direction
MPa
9000
Young’s Modulus Z Direction
na
0.24
Poisson’s Ratio XY
na
0.46
Poisson’s Ratio YZ
na
0.24
Poisson’s Ratio XZ
MPa
5200
Shear Modulus XY
MPa
0.0001
Shear Modulus YZ
MPa
0.0001
Shear Modulus XZ
The properties for the material should appear as follows:
e. Click the box labeled "Click here to add new material" and enter the name“CZM Material”
.This mater-
ial will specify the formulation used to introduce the fracture mechanism (Cohesive Zone Material
method).
79

f. Expand the Cohesive Zone option in the Toolbox and right-click Exponential for Interface
Delamination. Select Include Property.The required properties for the material are highlighted in
yellow.
g. Define the new material by entering the following property values and units of measure into the cor-
responding fields.
Unit
Value
Property
Pa
2.5E+07
Maximum Normal Traction
m
4E-06
Normal Separation Across the Interface
m
1
Shear Separation at Maximum Shear
Traction
The properties for the material should appear as follows.
3. Attach geometry.
a. In the Static Structural schematic, right-click the Geometry cell and select Import Geometry>Browse.
b. Browse to the proper location and open the file 2D_Fracture_Geom.agdb.This file is available on
the ANSYS Customer Portal; go to http://support.ansys.com/training.
c. Right-click the Geometry cell and select Properties. In the Properties window, set the Analysis Type
property to 2D.
The Project Schematic should appear as follows:
80

4. Launch Mechanical. Right-click the Model cell and then choose Edit. (Tip:You can also double-click the
cell to launch Mechanical).
5. Define unit system. From the menu bar in Mechanical, select Units>Metric (mm, kg, N, s, mV, mA).
6. Define 2D behavior.
a. Highlight the Geometry folder.
b. In the Details pane, specify the 2D Behavior property as Plane Strain.This constrains all of the UZ
degrees of freedom. See the 2D Analyses section for additional information about this property.
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7. Apply Material: Expand the Geometry folder and select the Part 2 folder. Set the Assignment property
to "Interface Body Material". Selecting the Part 2 folder allows you to assign the material to both parts at
the same time.
8. Suppress Contact.
Caution
Contact cannot be present for this analysis.
a. Expand the Connections folder and then expand the Contacts folder.
b. Right-click the Contact Region object and select Suppress.
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9. Define coordinate systems.
This analysis requires a mesh Match Control property to match the elements of the two parts. To
properly define the Match Control property, you need to define coordinate systems for the element
faces that will be matched with one another. In theory, for this model, one coordinate system could
facilitate the specification of the Mesh Match Control because the coordinate systems you are about
to create are virtually identical.
a. Right-click the Coordinate Systems object in the tree and select Insert>Coordinate System.
b. Right-click the new coordinate system object, select Rename, and name the object "High Coordinate
System."
c. In the Details pane of the newly-created Coordinate System object, select the Geometry property
field Click to Change.
83

d. Select the Edge selection filter (on the Graphics Toolbar) and highlight an edge in the center of the
model.
This tutorial employs the Depth Picking tool because of the close proximity of the two edges
involved in the interface, as well as the crack. As illustrated here, the graphics window displays
a stack of rectangles in the lower left corner. The rectangles are stacked in appearance, with the
topmost rectangle representing the visible (selected) geometry and subsequent rectangles rep-
resenting additional geometry selections. For this example, the topmost geometry is the "high"
edge.
e. Click Apply in the Geometry property.The "High Coordinate System" is defined.
f. Right-click the Coordinate Systems object again and insert another Coordinate System object. Rename
this object "Low Coordinate System."
g. Select the Edge selection filter and highlight an edge in the center of the model. Using the Depth
Picking tool, select the second rectangle in the stack, and then scope the edge as the geometry (Apply
in the Geometry property).This scoping is illustrated below.
84

10. Define Mesh Options and Controls.
a. Select the Mesh object. Define the following Mesh object properties:
• Set Use Advanced Size Function (Sizing category) to Off
• Enter an Element Size (Sizing category) of 0.750.
• Set Element Midside Nodes (Advanced category) to Kept.
b. Right-click the Mesh object and select Insert>Match Control.
85

c. Activate the High Geometry Selection property by selecting its field (that is highlighted in yellow).
The Apply and Cancel buttons display. Select the Edge selection tool and highlight one of the edges
in the center of the model. Use the Depth Picking tool to select the topmost geometry. Click the Apply
button.
d. Perform the same steps to specify the Low Geometry Selection property, as illustrated below.
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e. Change the Transformation property from Cyclic to Arbitrary and specify the High Coordinate System
and Low Coordinate System properties using the coordinate systems created in the previous step of
the tutorial.The object should appear as illustrated below.
f. Select the Edge selection filter (on the Graphics Toolbar) and, holding the Ctrl key, select the four side
edges.
87

g. Right-click the Mesh object and select Insert>Sizing.This mesh sizing control should be scoped to the
four side edges.
h. In the Details view, enter 0.75 mm as the Element Size.
i. Select the Edge selection filter (on the Graphics Toolbar) and highlight an edge in the center of the
model. Use the Depth Picking tool and, holding the Ctrl key, select both rectangles in the lower left
corner of the graphics window. Continue to hold the Ctrl key, and select an edge of the crack. Again,
use the Depth Picking tool and select both rectangles in the lower left corner of the graphics window.
Still holding the Ctrl key, select the top and bottom edges on the model.
j. Right-click the Mesh object and select Insert>Sizing.This mesh sizing control should be scoped to six
(top and bottom and the four interface edges) edges.
k. In the Details view, enter 0.5 mm as the Element Size.
l. Right-click the Mesh object and select Generate Mesh.
88

11. Define Interface Delamination object.
a. Insert a Fracture folder into the tree by highlighting the Model object and selecting the Fracture
button on the Model Context Toolbar.
b. Select the Interface Delamination button on the Fracture Context Toolbar.
c. In the Details pane, set the Method property to CZM.
89

d. Set the Material property to CZM Material.
e. Select the Match Control that was created earlier in the tutorial for the Match Control property.
90

The Interface Delamination object is complete.
a. Select the Analysis Settings object.
b. Set the Auto Time Setting property to On and then enter 40 for the Initial Substeps, Minimum
Substeps, and Maximum Substeps properties.
91

c. In the Details pane, set the Large Deflection property to On to activate geometric nonlinearities.
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13. Define boundary conditions.
a. Select the Edge selection filter and select the two edges on the side of the model that is opposite of
the crack. Select one edge, press the Ctrl key, and then select the next edge.
b. Highlight the Static Structural object, select the Supports menu on the Environment Context Toolbar,
and then select Fixed Support.
c. Highlight the Static Structural object.With the Vertex selection filter active, select the vertex illustrated
below, select the Supports menu, and then select Displacement.
d. Highlight the Displacement object in the tree and enter 10 (mm in the positive Y direction) as the
loading value for the Y Component property.
93

e. Create another Displacement.With the Vertex selection filter active, select the bottom vertex and then
select Supports>Displacement. Enter -10 (mm in the negative Y direction) as the loading value for
the Y Component property.
14. Specify result objects and solve.
a. Highlight the Solution object, select the Deformation menu on the Solution Context Toolbar, and
then select Directional Deformation.
b. Under the Definition category in the Details view, set the Orientation property to Y Axis.
c. Highlight the Solution object, select the Probe menu on the Solution Context Toolbar, and then select
Force Reaction.
d. Select Displacement for the Boundary Condition property.
e. Click the Solve button.
94

15. Review the results. Highlight the Directional Deformation and Force Reaction objects. Results appear
as follows:
You may wish to validate results against those outlined in the verification test case (VM248). This is
most easily accomplished by creating User Defined Results using the Worksheet.
End of tutorial.
95

96

FractureAnalysisofa2DCrackedSpecimenusingPre-MeshedCrack
Problem Description
This tutorial illustrates a fracture analysis of a 2D cracked specimen under a tensile load. The crack is
modeled at the geometry level and the appropriate mesh controls are already defined. The fracture
parameters are post-processed using a J-Integral approach which supports plastic material behavior.
Features Illustrated
• Restoring archive.
• Engineering Data.
• Nodal named selections.
• Coordinate systems.
• Crack definition.
• Fracture Results.
• Charting.
Procedure
1. Restore the project archive.
b. Select File > Restore Archive.
c. Browse to open 2D Cracked Specimen.wbpz.This file is available on the ANSYS Customer Portal;
d. Save the project in the desired directory.
2. Check the material properties in Engineering Data.
a. In the Static Structural schematic, right-click the Engineering Data cell and choose Edit.
The Engineering Data opens and displays the material windows.
b. Select the Structural Steel material and, in the Properties window, select the Bilinear Isotropic
Hardening law.
97

c. Click on Return to Project on the main toolbar to go back to the project schematic.
3. Prepare the analysis in the Mechanical Application.
a. In the Static Structural schematic, right-click the Model cell, and then choose Edit.The Mechanical
Application opens and displays the model.
b. For convenience, use the Rotate and Zoom toolbar buttons to manipulate the model so it displays as
shown below.
98
Fracture Analysis of a 2D Cracked Specimen using Pre-Meshed Crack

Note
Geometry and mesh controls have already been defined in the project. The geometry
consists of two parts that represent the two different sides of the crack.
4. Create Mesh Connections.
a. Select the Connections object in the Tree Outline.
b. Insert a Connection Group object into the Tree by right-clicking the Connections object and selecting
Insert > Connection Group.
c. Insert a Mesh Connection object into the Tree by right-clicking the Connection Group object and se-
lecting Insert > Manual Mesh Connection.
d. On the Graphics toolbar, select the Edge button to toggle Edge selection mode.
e. In the Graphics window, select the edge in lower right-hand corner of the upper part.
f. In the Details view, for Master Geometry, click Apply.
g. In the Graphics window, select the corresponding edge belonging to the bottom part.
h. In the Details view, for Slave Geometry, click Apply.
99

i. Repeat the last five steps two times to connect the edges couples that correspond to the regions where
the mesh needs to be connected.
5. Generate mesh.
a. Select the Mesh object in the Tree Outline. Note that some mesh controls are already defined in the
model.
b. Right-click the Mesh object and select Generate Mesh.
100
Fracture Analysis of a 2D Cracked Specimen using Pre-Meshed Crack

6. Create a coordinate system.
a. In the Details view, select Coordinate System.
b. Right-click and select Insert > Coordinate System, or from the Environment Context toolbar, select
Coordinate Systems> Coordinate System.
c. In the Graphics window, select the vertex in the middle of the left hand side of the structure.
d. In the Details view, for Geometry, click Apply.
7. Create nodal named selections.
a. On the Graphics toolbar, select the Vertex button to toggle Vertex selection mode.
b. In the Tree Outline, right-click Model and select Insert>Named Selection.
c. In the Graphics window, select the crack front extremity.
101

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