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

TL;DR

This paper introduces a comprehensive 3D constitutive model for shape memory alloys that captures large strains, transformation-induced plasticity, and two-way shape memory effects within a finite deformation framework, validated against experimental data.

Contribution

The work develops a novel logarithmic strain-based model incorporating TRIP and TWSME effects, with detailed implementation and calibration procedures for finite element analysis.

Findings

Accurately predicts cyclic pseudoelastic and actuation responses.

Captures stress-dependent TRIP generation under multiaxial stress.

Successfully validated against experimental results.

Abstract

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