Effective response and microstructure evolution for shape memory alloy laminated composites

Abstract

A model for the macroscopic mechanical behavior of rank-1 laminates including two shape memory alloy (SMA) phases is presented. The model expresses the general behavior of a composite with phases undergoing rate-independent elastic and inelastic deformations. Homogenization techniques (the rank-1 laminate composite model) are used to establish the effective behavior of the SMA laminated composite (SLC) based on the information about the mechanical response of the individual phases and their volume fractions. A stress-control algorithm is put forward to implement the model. With the aid of this stress-control algorithm, an implicit expression for the effective tangent stiffness and an evolution equation for the effective inelastic strain are derived. Results are compared with the outcome of a FE-based computational homogenization method, and the results of both methods are in very good agreement. By using a constitutive model with internal variables for dense SMA, the influence of imposing different mechanical loadings is evaluated. Furthermore, the effective behavior of the SLC for various volume fractions of materials is assessed and exclusive comparisons are illustrated. Moreover, the influence of different temperatures on the effective behavior of laminated composite for superelastic behavior is studied.