A simple one-dimensional rate-independent model is proposed. It is able to capture responses of a NiTi shape memory alloy wire element to mechanical and thermal loadings. Since the model takes into account martensitic phase transformation as well as deformation processes in the martensite, both shape memory effects and pseudoelasticity can be simulated. The model introduces non-hysteretic transformation strain. Particular attention was paid to description of partial loading cycles. By changing the input parameters the model can be adapted to various types of NiTi-based materials. The model was implemented in the finite element code Abaqus as a User routine and several simulations were performed to validate the implementation.
Frost, M., Sedlák, P., Sippola, M., & Šittner, P. (2010). Thermomechanical model for NiTi shape memory wires. Smart Materials and Structures, 19(9), . https://doi.org/10.1088/0964-1726/19/9/094010