This document compares the linear buckling analysis of flat plates with different thicknesses. Two flat plates with thicknesses of 1mm and 5mm were modeled and analyzed using LUSAS finite element software. The results showed that thicker plates had higher buckling loads, with the 5mm plate's buckling load being over 10 times greater than the 1mm plate's load. In conclusion, a plate's thickness directly influences its buckling value, with thicker plates exhibiting higher buckling strengths.
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In this presentation, a brief description of Young's Modulus, Hardness and Fracture Toughness is discussed, also an experimental way to determine the above mentioned properties is also discussed.
EFFECT OF SURFACE ROUGHNESS ON CHARACTERISTICS OF SQUEEZE FILM BETWEEN POROUS...IAEME Publication
In investigation aims to analyse the effect of transverse surface roughness on the squeeze film performance between porous rectangular plates. The associated differential equation is stochastically averaged making use of stochastic averaging method of Christensen and Tonder for transverse surface roughness. The equation is solved with appropriate boundary conditions to obtain the pressure and consequentlythe load bearing. The graphical results suggest that the bearing suffers because of transverse surface roughness. However the situation is slightly better in the case of
negatively skew roughness. Further variance (-ve) makes the situation furtherimproved even if moderate values of porosity are involved
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In this paper, static analysis of two dimensional functionally graded plates based on three dimensional
theory of elasticity is investigated. Graded finite element method has been used to solve the problem. The
effects of power law exponents on static behavior of a fully clamped 2D-FGM plate have been investigated.
The model has been compared with result of a 1D-FGM plate for different boundary conditions, and it
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International Journal of Computational Engineering Research(IJCER)ijceronline
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Acta Mater 57 (2009) 559 Investigation Of The Indentation Size EffectDierk Raabe
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International Journal of Engineering Inventions (IJEI) provides a multidisciplinary passage for researchers, managers, professionals, practitioners and students around the globe to publish high quality, peer-reviewed articles on all theoretical and empirical aspects of Engineering and Science.
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
The aim of this study is study the phenomenon of surface tension in viscous liquids and determine the influencing elements represented temperature, Reynold number and couple stress., also shed light on the strength of cohesion between particles and its relationship to the bonding force. The phenomenon was studied depending on continuity equation and Navier-Stokes equations and theoretical analysis was found porosity and film thickness of layers .
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The Myth of Softening behavior of the Cohesive Zone Model Exact derivation of...ijceronline
International Journal of Computational Engineering Research(IJCER) is an intentional online Journal in English monthly publishing journal. This Journal publish original research work that contributes significantly to further the scientific knowledge in engineering and Technology.
While the computed transported turbulence dissipation rate, , works well as part of a differential
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relationships which includes the Prandtl-Schlichting (P-S) roughness effect. This approach enables physically
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This presentation covers an introduction to quasi-static nanoindetation and how properties of hardness and elastic modulus are determined using the load-displacement curves. You are welcome to use these slides in your presentation on the condition that you give credit to Nanomechanics, Inc. on each slide used.
Research on Contact Characteristics between Bump End Effector and WaferIJRES Journal
In the IC industry, commonly used methods are wafer clamping friction transmission type and vacuum suction. Combining science and theological contact theory,the contact friction transmission characteristics when using the bump and transmission actuator wafer, the wafer and the end actuators. Starting from the material properties of the wafer by ANSYS simulation analysis in contact with the wafer bump deformation due to its own gravity, and verify that it meets the requirements of small deformation wafer transfer. Compute and solve the friction contact with the wafer bump bristles between.
Simulation of a fatigue crack problem in electronic devicesCADFEM Austria GmbH
Fatigue crack growth under active cycling conditions is simulated using the cohesive zone modeling concept within the framework of the Finite Element Method.
To this end, a cyclic cohesive zone model based on a damage evolution equation is extended onto the case of transient thermal loading conditions and is implemented into ANSYS. The thermal and mechanical interaction of the cohesive surfaces is taken into account for both open and closed crack states. By incorporating the temperature dependence of the cohesive zone model parameters, the model is also extended onto cases of nonisothermal fatigue.
To speed-up fatigue simulations, the cyclic cohesive zone model is equipped with the cycle jump technique based on direct iteration of the damage evolution equation.
The implemented thermomechanical cyclic cohesive zone model is applied to a problem of interfacial debonding between two layers of a power metallization stack subjected to the active thermal cycling.
Three dimensional static analysis of two dimensional functionally graded platesijmech
In this paper, static analysis of two dimensional functionally graded plates based on three dimensional theory of elasticity is investigated. Graded finite element method has been used to solve the problem. The effects of power law exponents on static behavior of a fully clamped 2D-FGM plate have been investigated. The model has been compared with result of a 1D-FGM plate for different boundary conditions, and it shows very good agreement.
Three dimensional static analysis of two dimensional functionally graded platesrtme
In this paper, static analysis of two dimensional functionally graded plates based on three dimensional
theory of elasticity is investigated. Graded finite element method has been used to solve the problem. The
effects of power law exponents on static behavior of a fully clamped 2D-FGM plate have been investigated.
The model has been compared with result of a 1D-FGM plate for different boundary conditions, and it
shows very good agreement
International Journal of Computational Engineering Research(IJCER)ijceronline
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Acta Mater 57 (2009) 559 Investigation Of The Indentation Size EffectDierk Raabe
Investigation of the indentation size effect through the measurement of the geometrically necessary dislocations beneath small indents of different depths using EBSD tomography
International Journal of Engineering Inventions (IJEI) provides a multidisciplinary passage for researchers, managers, professionals, practitioners and students around the globe to publish high quality, peer-reviewed articles on all theoretical and empirical aspects of Engineering and Science.
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
The aim of this study is study the phenomenon of surface tension in viscous liquids and determine the influencing elements represented temperature, Reynold number and couple stress., also shed light on the strength of cohesion between particles and its relationship to the bonding force. The phenomenon was studied depending on continuity equation and Navier-Stokes equations and theoretical analysis was found porosity and film thickness of layers .
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The Myth of Softening behavior of the Cohesive Zone Model Exact derivation of...ijceronline
International Journal of Computational Engineering Research(IJCER) is an intentional online Journal in English monthly publishing journal. This Journal publish original research work that contributes significantly to further the scientific knowledge in engineering and Technology.
While the computed transported turbulence dissipation rate, , works well as part of a differential
equation-based turbulence model in predicting turbulent flows, it doesn’t seem to work well when used to
determine the Kolmogorov length-scale (ℓ퐾표푙) which, like the other Kolmogorov scales, exists within the viscous
sublayer portion of the inner turbulent boundary layer zone. Using may lead to an increase in ℓ퐾표푙 as roughness
increases, the opposite of what should happen. It is proposed here to replace the computed (and its level at the
1
st point off the wall as dictated by wall functions) with the one resulting from basic law-of-the-wall sublayer
relationships which includes the Prandtl-Schlichting (P-S) roughness effect. This approach enables physically
correct prediction of ℓ퐾표푙, particularly a reliable decrease thereof with increasing roughness level.
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Electrical, Electronics and Computer Engineering,
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Automation and Mechatronics Engineering,
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Aerospace Engineering.
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Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
1. COMPARISON OF THE LINEAR
BUCKLING ANALYSIS FOR DIFFERENT
THICKNESS OF A FLAT PLATE
Name : Muhammad bin Ramlan
Matrix No. : P 57600
Subject : Finite Element Method In Civil Engineering
Year : 2011 / 2012
Lecturer : Prof Ir Dr Wan Hamidon bin Wan Badaruzzaman
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 1
2. Table of Content
ITEMS PAGE
Abstract 3
Introduction 3
Objective 3
Problem Definition 4
Description of Finite Element Method (FEM) 4
Description of LUSAS 5
Finite Element Modelling 5
Result 6
Discussion 9
Conclusion 9
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 2
3. Abstract
This report investigates the capability of the finite element software LUSAS to
deal with buckling analysis for the flat plate material under different material
properties.
It was analysed that different types of material properties will cause different
types of buckling effects. From the analysis, a thicker flat plate will provide a
larger buckling value. Whilst for a thin flat plate, the buckling value will be
smaller.
This report allowed me to have a good introduction to this board area of
engineering related to modelling structure under the effect of buckling effect.
Introduction
This project will evaluate on determining the buckling load for a flat plate. Two
rectangular panels with sizes of 2 m x 0.5 m is subjected to in-plane
compressive loading. The material property for the flat panel includes Poison’s
Ratio of 0.3 and Young Modulus of 70E9 N/m2.
Analyses are conducted by using LUSAS software. The panel is meshed using 64
semiloof shell elements and is simply supported on all sides. An in plane
compressive load of a total 24 N is applied to of the short edges, parallel to the
long sides. Unit used are N, m, kg, s, C throughout.
Objective
The objective of this report is to:
a. Analyse the effect of buckling load for a different thickness types of flat
plate subjected to in-plane compressive loading.
b. Discuss the result of the analysis prior to the experiment.
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 3
4. Problem Definition
A flat panel of various thicknesses is being tested to identify and analyse of the
buckling load. It is anticipated that the difference in thickness of a certain
material will influence the buckling load that the material produces. In this
report, a flat panel with the thickness of 1mm and 5mm are to be tested.
The table below are the material properties that are being used throughout
this test:
No. Item Plate 1 Plate 2
1 Plate Size 2 m x 0.5 m 2 m x 0.5 m
2 Plate Thickness 1 mm 5 mm
3 Young Modulus 70E9 N/m2 70E9 N/m2
4 Poisson Ratio 0.3 0.3
5 Support Type Simply supported at all Simply supported at all
sides. sides.
6 Load 24N of in-plane 24N of in-plane
compressive load is compressive load is
applied to one of the applied to one of the
short edges, parallel to short edges, parallel to
the long sides. the long sides.
Description of Finite Element Method (FEM)
Finite Element Analysis was initially developed in 1943 by Richard Courant who
developed the Ritz method of numerical analysis and minimisation of
vibrational calculus to calculated approximate solutions to vibration systems.
He then went on to publish a paper in 1956 which defined in more detail the
numerical analysis. His paper centred on the "stiffness and deflection of
complex structures".
In the early 70’s the only computers able to carry out Finite Element Analysis
were mainframe computers which were generally owned by such industries as
aeronautics, automotive, defence, and nuclear. However the technological
revolution of the following decades has seen the rapid decline in the price of
computers and huge leaps forward in their processing power. The capabilities
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 4
5. of the Finite Element Method are now a far cry from that of the 70s, it is now
capable of analysing any structure to incredible accuracy.
Description of LUSAS
LUSAS is a finite element analysis software program which can solve all types
of linear and nonlinear stress, dynamics, composite and thermal engineering
analysis problems. The main components of the LUSAS are:
a. LUSAS Modeller - a fully interactive graphical user interface for model
building and viewing of results from an analysis.
b. LUSAS Solver - a powerful finite element analysis engine that
carries out the analysis of the problem defined in LUSAS Modeller.
Finite Element Modelling
The finite element modelling using LUSAS was run as per below:
a. Creating a new model
b. Inserting the feature geometry
c. Select the meshing
d. Specifying the geometric properties
e. Specifying the material properties
f. Specifying the support applied
g. Select the loading applied to the element
h. Eigenvalue analyst control
i. Saving the model
j. Running the Analysis
k. Printing the buckling load factor
l. Calculating the critical buckling load
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 5
6. Result
A. Plate 1 (1mm thickness)
Figure 1: Loading Distribution On Plate 1
Figure 2: Deformed Mesh Layers On Plate 1
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 6
7. This model was analysed using three eigenvalue buckling analysis, the load
factors are equivalent to the eigenvalues. Load factors are the values by which
the applied load is factored to cause buckling in the respective modes.
Eigenvalue results for the whole model is as per figure below:
Figure 3: Eigenvalue Result Value for Plate 1
The applied load (24N) must be multiplied by the first load factor (19.8891) to
give the value of loading which causes buckling in the first mode shape. The
initial buckling load is therefore 24 x 19.8891 = 477.34 N. Same method goes
for the other modes.
B. Plate 2 (5mm thickness)
Figure 4: Loading Distribution On Plate 2
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 7
8. Figure 5: Deformed Mesh Layers On Plate 2
This model was analysed using three eigenvalue buckling analysis, the load
factors are equivalent to the eigenvalues. Load factors are the values by which
the applied load is factored to cause buckling in the respective modes.
Eigenvalue results for the whole model is as per figure below:
Figure 6: Eigenvalue Result Value for Plate 2
The applied load (24N) must be multiplied by the first load factor (2486.14) to
give the value of loading which causes buckling in the first mode shape. The
initial buckling load is therefore 24 x 2486.14 = 59667.36 N. Same method goes
for the other modes.
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 8
9. Discussion
Buckling is a failure mode. Buckling is categorized by a sudden failure of a
structural member subjected to high compressive strength, where the actual
compressive stress at the point is less than the ultimate compressive stress
that the material is capable of withstanding.
The results of the analysis show that the changes of the flat plate thickness will
influence the buckling value. The increase of the thickness of the flat plate is
parallel towards the increase of the buckling value. Table 1 below shows the
relationship for both of plate thickness and buckling load.
Table 1 Result of Load Factor Due to Increasing of Plate Thickness
Plate Compressive Buckling Load
Mode Load Factor
thickness Load (N) (N)
1 24 19.8891 477.34
1mm 2 24 21.1524 507.66
3 24 21.318 511.63
1 24 159.113 59667.36
5mm 2 24 169.234 63460.32
3 24 170.544 63954.00
Conclusion
From the analysis, it shows that the finite element method can be applied to
calculate the complex structural. It is done by segregating the structure to
certain element. It can be concluded that different types of material properties
will cause different types of buckling effects. From the analysis, a thicker flat
plate will provide a larger buckling value. Whilst for a thin flat plate, the
buckling value will be smaller.
Comparison Of The Linear Buckling Analysis For Different Thickness Of A Flat Plate | 9