Home‎ > ‎

Benchmark Problems

This section contains benchmark problems that show the different capabilities of shape memory alloys (e.g., shape memory effect, superelasticity).


-Bending of a superelastic tube. This problem consists of an SMA superelastic tube undergoing bending deformation. The problem is solved using finite element analysis (FEA). The model of the tube replicates the experimental setup presented by Reedlunn, Benjamin, et al. "Tension, compression, and bending of superelastic shape memory alloy tubes." Journal of the Mechanics and Physics of Solids(2013). http://dx.doi.org/10.1016/j.jmps.2012.12.012

The problem is scripted in Python language which can be readily loaded into Abaqus FEA software. The Abaqus built-in SMA model which mathematical  foundation was formulated by Auricchio/Taylor is utilized. For users that possess or develop Abaqus SMA user material subroutines (UMATs) this could be an interesting problem to test them. Figure 1 shows contour plots of martensite volume fraction of the tube during bending that were obtained using this model.

Files description: 
-BendingTube.pdf : shows schematics of the model and results.
-BendingTube.py : Python script that contains the model and can be loaded into Abaqus (see instructions in the script comments).

Figure 1. Martensite volume fraction contour plot of the bending tube at different steps during loading.

Edwin Peraza Hernandez,
Sep 24, 2013, 7:06 AM
Edwin Peraza Hernandez,
Sep 24, 2013, 7:07 AM