VMR049-PL3

VMR049-PL3
3D Plasticity Benchmark

Test Description

A block with length, height, and length L is constrained at Z = L in the Y-direction and constrained in the X-direction when Z = L and Y ranges from 0 to L. The block is displaced according to the given boundary conditions.

Geometry
L = 1.0 mm
Material Properties
E = 250 x 103 N/mm2
ν = 0.25
Plasticity Model
Perfect Plasticity: σys = 5.0 N/mm2
Isotropic Hardening: ET = 50 x 103 N/mm2
Boundary Conditions
Left Face: ux = 0
Bottom Face: uy = 0
Front Face: uz = 0
Right Face: ux = δx
Top Face: uy = δy
Back Face: uz = δz
Loading
No applied forces
Displacements prescribed in 12 steps (R = 2.5 x 10-5) as follows:
Step: Disp. change
Step 1: Δux = +R
Step 2: Δux = +R
Step 3: Δuy = +R
Step 4: Δuy = +R
Step 5: Δuz = +R
Step 6: Δuz = +R
Step 7: Δux = -R
Step 8: Δux = -R
Step 9:Δuy = -R
Step 10:Δuy = -R
Step 11:Δuz = -R
Step 12:Δuz = -R

Results

Reference: Stress results are displayed for each step as the step is incremented by 1 starting from 0 and ending at 12.


             |   Mechanical APDL   |   RATIO  |         INPUT         |
  
 SOLID185
  SX                 2.7470            1.0000     vmr049-pl3a-185
  SY                 0.2618            0.9991     vmr049-pl3a-185
  SZ                -3.0087            0.9999     vmr049-pl3a-185
  SEFF               5.0000            1.0000     vmr049-pl3a-185
 SOLID186
  SX                 2.7470            1.0000     vmr049-pl3a-186
  SY                 0.2618            0.9991     vmr049-pl3a-186
  SZ                -3.0087            0.9999     vmr049-pl3a-186
  SEFF               5.0000            1.0000     vmr049-pl3a-186
 SOLID187
  SX                 2.7470            1.0000     vmr049-pl3a-187
  SY                 0.2618            0.9991     vmr049-pl3a-187
  SZ                -3.0087            0.9999     vmr049-pl3a-187
  SEFF               5.0000            1.0000     vmr049-pl3a-187
  
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             |   Mechanical APDL   |   RATIO  |         INPUT         |
  
 SOLID185
  SX                 1.9340            1.0000     vmr049-pl3b-185
  SY                -0.5406            0.9993     vmr049-pl3b-185
  SZ                -1.3934            1.0003     vmr049-pl3b-185
  SEFF               2.9936            0.9999     vmr049-pl3b-185
 SOLID186
  SX                 1.9340            1.0000     vmr049-pl3b-186
  SY                -0.5406            0.9993     vmr049-pl3b-186
  SZ                -1.3934            1.0003     vmr049-pl3b-186
  SEFF               2.9936            0.9999     vmr049-pl3b-186
 SOLID187
  SX                 1.9340            1.0000     vmr049-pl3b-187
  SY                -0.5406            0.9993     vmr049-pl3b-187
  SZ                -1.3934            1.0003     vmr049-pl3b-187
  SEFF               2.9936            0.9999     vmr049-pl3b-187
 SOLSH190
  SX                 1.9340            1.0000     vmr049-pl3b-190
  SY                -0.5406            0.9993     vmr049-pl3b-190
  SZ                -1.3934            1.0003     vmr049-pl3b-190
  SEFF               2.9936            0.9999     vmr049-pl3b-190
  
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