Phenomenological modeling of induced transformation anisotropy in shape memory alloy actuators

This paper considers new extensions to a three-dimensional constitutive model originally developed by Lagoudas and co-workers. The proposed model accurately and robustly captures the highly anisotropic transformation strain generation and recovery observed in actuator components that have been subjected to common material processing and training methods. A constant back stress tensor is introduced into the model, which is implemented in an exact form for simple tension/torsion loading as well as into a commercial finite element code to perform a 3-D analysis of a Shape Memory Alloy (SMA) torque tube actuator subjected to different loading schemes. Numerical correlations between predicted and available experimental results demonstrate the accuracy of the model.

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