A rigid frictionless punch is pressed into a deep plate of finite width
supported on a frictionless plane. A 2D plane strain formulation is applied.
For Study A, the plate is modeled with a strain hardening material, whereas
for Study B, the plate is considered a perfectly plastic material.
Owing to symmetry conditions about the Y-axis, consider only half of the
model.
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File Name
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Open drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation
Examples\Verification\NAFEMS_NL5A_B.SLDPRT.
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Study Type
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Nonlinear static - Plane Strain 2D Simplification - with large
displacement formulation
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Mesh Size
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Use a standard mesh with global element size of 10 m.
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Material Properties
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| Material Property |
Rigid Punch |
Plate |
| |
Linear Elastic Isotropic |
Plasticity - von Mises |
| Elasticity modulus (E) |
1 x 1015
N/m2 |
1000 N/m2 |
| Poisson's ratio (ν) |
0.3 |
0.3 |
| Yield stress (σy) |
1.0 N/m2 |
1.0 N/m2 |
| Mass density (ρ) |
7800 kg/m3 |
7800 kg/m3 |
| Hardening coefficient |
0 |
0.1 (defined with stress/strain curve
data) |
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Results
Plot the
variation of deflection applied at the top edge of the rigid punch with the contact force at
the boundary between the rigid punch and the plate.
The x-axis shows
the applied deflection by the punch (m), and the y-axis shows the contact force developed at
the boundary between the punch and the plate (N). For Case A, the plate is modeled with a
strain hardening material, whereas for Case B, the plate has a perfectly plastic
material.
| |
Load (N) (Case
A) |
Load (N) (Case
B) |
| Applied Deflection (m) |
Reference |
SOLIDWORKS Simulation |
Reference |
SOLIDWORKS Simulation |
| 0.04 |
29.59 |
28.60 |
29.59 |
28.60 |
| 0.12 |
86.84 |
86.88 |
85.94 |
86.64 |
| 0.14 |
100.0 |
100.3 |
98.33 |
99.67 |
| 0.16 |
107.9 |
108.5 |
103.7 |
105.94 |
| 0.18 |
112.5 |
113.1 |
105.8 |
108.17 |
| 0.24 |
122.6 |
123.2 |
108.8 |
111.41 |
Plot the variation of deflection applied at the top edge of the
rigid punch with the direct stress component SY at the highlighted (red) point in the
figure.
The
stress-deflection curves agree with the finite element solution provided in the
reference.
Reference
NAFEMS Publication R0026, The International Association
for the Engineering Analysis Community, “Selected Benchmarks for Material
Non-Linearity, 1993”.