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SSLIPLIP LLINEINE FFIELDIELD
MMETHODETHOD
AND ITSAND ITS
AAPPLICATION INPPLICATION IN
FFORMINGORMING
PPROCESSROCESS
Group 1Group 1
(Roll No. 49,50,51,52)(Roll No. 49,50,51,52)
Slip ?
process which allows plastic flow to
occur in metals , where the crystal
planes slide past one another
Why ?
force required for the entire block
of crystals to slide is very large
lower level of stress is required
Slip Lines ?
P
β - line α - line
φ
Slip Line Field ?
 Orthogonal networks of the
lines of maximum shear stress
 The slip line patterns above
are very useful for analyzing
plane strain deformation in a
rigid-plastic isotropic solid
Slip Line Field ?
Slip-line field for compression between a pair of rough
parallel platens
Slip Line
Field Method
It is an approach used to model
plastic deformation in plane
strain only for a solid that can
be represented as a rigid-plastic
body.
Assumptions
Rigid-Plastic Material
Response
 no elastic
deformation
and perfect
plastic
deformation
Fig 1. Rigid Plastic Material Response
 In deformations of
practical interest one of
the principal strains (say )
is zero
 It is applicable to rolling ,
drawing and forging.
Plane Strain
EXAMPLES
 Try to use Slip Line Field Method to
solve some problems
 To determine the value of force (P)
Rigid Punch Indenting a Plastic Solid
Solution:
Plane Strain Extrusion (Hill)
α
slip-line
slip-line
β
H 2H
30o
45o
45o
P
A
B
C
D
a
b E
F
e1
e2
Plane Strain Extrusion (Hill)
σ22
σσ11
τ
σ
kσ
σ
k
π/3k
nn
ab
Plane Strain Extrusion (Hill)
@ a
@ b
resultant force acting on CD and AB
Thus required force P=
-2k
Double-Notched Plate In Tension
α slip-line slip-lineβ
α
P
P
α
a
A
B
Double-Notched Plate In Tension
@ a
@ b
REFERENCE
S
 G K Lal , Introduction to Machining Science.
 http://solidmechanics.org/text/Chapter6_1/Chapter6_1.htm
 http://www.engin.brown.edu/courses/en222/Notes/sliplines/sli
plines.htm
 http://www.globalspec.com/reference/70308/203279/html-
head-chapter-9-slip-line-field-analysis
QUESTIONS?

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Slip Line Field Method - Presentation

Editor's Notes

  1. This template can be used as a starter file for presenting training materials in a group setting. Sections Right-click on a slide to add sections. Sections can help to organize your slides or facilitate collaboration between multiple authors. Notes Use the Notes section for delivery notes or to provide additional details for the audience. View these notes in Presentation View during your presentation. Keep in mind the font size (important for accessibility, visibility, videotaping, and online production) Coordinated colors Pay particular attention to the graphs, charts, and text boxes. Consider that attendees will print in black and white or grayscale. Run a test print to make sure your colors work when printed in pure black and white and grayscale. Graphics, tables, and graphs Keep it simple: If possible, use consistent, non-distracting styles and colors. Label all graphs and tables.
  2. Give a brief overview of the presentation. Describe the major focus of the presentation and why it is important. Introduce each of the major topics. To provide a road map for the audience, you can repeat this Overview slide throughout the presentation, highlighting the particular topic you will discuss next.
  3. Give a brief overview of the presentation. Describe the major focus of the presentation and why it is important. Introduce each of the major topics. To provide a road map for the audience, you can repeat this Overview slide throughout the presentation, highlighting the particular topic you will discuss next.
  4. This is another option for an Overview slides using transitions.
  5. This is another option for an Overview slide.
  6. What will the audience be able to do after this training is complete? Briefly describe each objective how the audience will benefit from this presentation.
  7. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  8. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  9. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  10. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  11. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  12. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  13. Add slides to each topic section as necessary, including slides with tables, graphs, and images. See next section for sample table, graph, image, and video layouts.
  14. Is your presentation as crisp as possible? Consider moving extra content to the appendix. Use appendix slides to store content that you might want to refer to during the Question slide or that may be useful for attendees to investigate deeper in the future.