Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect

This work presents a three-dimensional constitutive model for shape memory alloys considering the TRansformation-Induced Plasticity (TRIP) as well Two-Way Shape Memory Effect (TWSME) through large deformation framework. The presented logarithmic strain based is able to capture strains and rotations exhibited by SMAs under general thermomechanical cycling. By using martensitic volume fraction, transformation strain, internal stress, TRIP tensors state variables, capable stress-dependent generation when are subjected multiaxial stress state, TWSME thermomechanically trained load-free conditions. A detailed implementation procedure of proposed user-defined material subroutine within finite element framework allowing solving different Boundary Value Problems (BVPs). Comprehensive instruction on calibrating parameters derivation continuum tangent stiffness matrix also provided. In end, simulated cyclic pseudoelastic actuation responses wide range SMA systems both uniaxial states compared against experimental results validate modeling capabilities.