VM221

VM221
Simulation of Shape Memory Alloy Effect

Overview

Reference:A. Souza, et al. "Three-dimensional model for solids undergoing stress-induced phase transformation”. Eur. J. Mech. A/Solids. 1998, 17: 789-806.
Analysis Type(s):Static (ANTYPE, 0)
Element Type(s):3D Structural Solid Elements (SOLID185)
Input Listing:vm221.dat

Test Case

A block is composed of shape memory alloy material. The block, which has an initial temperature of 253.15K, is loaded up to 70 MPA to obtain detwinned martensitic structure, and then unloaded until it is stress free to obtain a martensitic structure in which residual strain remains. The temperature is then increased to 259.15K to recover residual strain and regain the austenitic structure. The final stress and strain is obtained and compared against the reference solution.

Figure 364: Uniaxial Loading Problem Sketch

Uniaxial Loading Problem Sketch

Material PropertiesGeometric Properties Loading

Material properties for Austenite phase:

E=70,000 MPa
µ=0.33

Material properties for Martensite phase:

Em=70,000MPa

Parameters for phase transformation:

h=500 MPa
R=45 MPa
β=7.5MPa.K-1
T0=253.15K
m=0
W=5m

  1. Apply pressure on X direction to 70MPA.

  2. Remove pressure in X direction.

  3. Increase temperature to T=259.15K.

Analysis Assumptions and Modeling Notes

The problem is solved using 3D SOLID185 elements. The shape memory material is defined using TB,SMA. The block is subjected to 70MPa uniaxial tension, then loading is removed. Finally, temperature is increased to recover residual strain. The final stress and strain state is acquired by *GET in POST1.

Results Comparison

 Target Mechanical APDLRatio
S_X0.00.0-
EPEL_X0.00.0-
EPPL_X0.00.0-