VM251
VM251
Shape Memory Alloy Under Uniaxial Tension Load
Overview
| Reference: | Ferdinando Auricchio, Robert L. Taylor, and Jacob Lubliner, Shape-memory alloys: macromodelling and numerical simulations of the superelastic behavior, Comput. Methods Appl. Mech. Engrg., Vol. 146, pp. 281-312 (1997). |
| Analysis Type(s): | Static analysis (ANTYPE = 0) |
| Element Type(s): | |
| Input Listing: | vm251.dat |
Test Case
A square block of length, height and width L is constrained in the X-direction on the left face, constraint in the Y-direction rear on the bottom face and constrained in the Z-direction on the rear face (3D case only). It is uniaxially loaded with tensile stress of s and unloaded on the top face. Determine the stress-strain response for a Ni-Ti alloy.
| Material Properties | Shape Memory Alloy | Loading | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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Analysis Assumptions and Modeling Notes
A 2D axisymmetric analysis is performed first using a single 4-node PLANE182 element and then using a single 8-node PLANE183 element. 3D analysis is then performed using SOLID185 elements. The stress-strain responses simulated are compared to the linear model in the reference.
Results Comparison
| Target | Mechanical APDL | Ratio | |
|---|---|---|---|
| Results using PLANE182 | |||
| SIG-SAS | 520.00 | 522.013 | 1.004 |
| EPTO-SAS | 0.010 | 0.010 | 1.046 |
| SIG-FAS | 600.00 | 599.992 | 1.000 |
| EPTO-FAS | 0.080 | 0.08 | 1.000 |
| SIG-SSA | 300.00 | 300.016 | 1.000 |
| EPTO-SSA | 0.074 | 0.075 | 1.013 |
| SIG-FSA | 200.00 | 198.001 | 0.990 |
| EPTO-FSA | 0.003 | 0.003 | 1.031 |
| Results using PLANE183 | |||
| SIG-SAS | 520.00 | 522.012 | 1.004 |
| EPTO-SAS | 0.010 | 0.010 | 1.046 |
| SIG-FAS | 600.00 | 603.691 | 1.006 |
| EPTO-FAS | 0.080 | 0.08 | 1.001 |
| SIG-SSA | 300.00 | 300.000 | 1.000 |
| EPTO-SSA | 0.074 | 0.075 | 1.014 |
| SIG-FSA | 200.00 | 198.002 | 0.988 |
| EPTO-FSA | 0.003 | 0.003 | 1.029 |
| Results using SOLID185 | |||
| SIG-SAS | 520.00 | 522.007 | 1.004 |
| EPTO-SAS | 0.010 | 0.010 | 1.046 |
| SIG-FAS | 600.00 | 599.996 | 1.000 |
| EPTO-FAS | 0.080 | 0.08 | 1.000 |
| SIG-SSA | 300.00 | 300.0086 | 1.000 |
| EPTO-SSA | 0.074 | 0.075 | 1.013 |
| SIG-FSA | 200.00 | 197.999 | 0.990 |
| EPTO-FSA | 0.003 | 0.003 | 1.031 |