Finite Element Implementation of a Multivariant Shape Memory Alloy Model

In this article a finite element implementation of a multivariant constitutive model of shape memory alloys for a mono-dimensional element is presented. The model has been implemented by writing the kinetic law and the equilibrium equation in the rate form and integrating this equation along the thermomechanical load path. The implemented model allows to simulate both the operation in isothermal condition, in full or partial pseudoelastic recover and the behavior of shape memory alloy's wire in mixed thermal and mechanical load application such as in cyclic activations of a wire against a structure. The developed model is suitable for integration in structural finite element program allowing to simulate the action of SMA wires in integrated in complex structure. A number of numerical cases for the developed model are showed in order to verify the ability to reproduce expected typical SMA behaviors.