VM273

VM273
Shape Memory Alloy with Thermal Effect Under Uniaxial Loading

Overview

Reference:Auricchio, F. et al. "Improvements and algorithmeical considerations on a recent three-dimensional model descrbing stress-induced solid phase transformation”. International Journal for Numerical Methods in Engineering, 55. 1225-1284. 2002
Analysis Type(s):Static Analysis (ANTYPE=0)
Element Type(s):3D Structural Solid Elements (SOLID185)
Input Listing:vm273.dat

Test Case

A block is made of shape memory alloy material. One cycle of uniaxial displacement loading is applied in vertical direction (Figure 475: Uniaxial Loading Problem Sketch). The whole process includes tension, unload, compression, and unload. The whole loading history repeats with body temperature 285.15K and 253.15K respectively. The stress history is obtained and compared against the reference solution.

Figure 475: 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

H=10 mm

  1. Uniaxial tension to 0.35 mm in Y, then unload back to zero.

  2. Uniaxial compression to -0.35 mm, then unload back to zero.

In the above loading process, the body temperature is maintained at 285.15K and 253.15K respectively.

Analysis Assumptions and Modeling Notes

The problem is solved using 3D SOLID185 elements. The shape memory thermal effect is defined by TB, SMA. The block is subjected to one cycle of uniaxial tension and compression with body temperature held at 285.15K and 253.15K, respectively. History of stresses in loading direction is acquired in POST26.

Results Comparison

 Target Mechanical APDLRatio
T= 285.15K
S_SAS345.0349.5081.013
S_FAS367.0367.1681.000
S_SSA258.0257.0710.996
S_FSA236.0238.8911.012
T=253.15K
S_SAS54.655.5681.018
S_FAS74.173.2290.988
S_SSA-37.1-36.8680.994