A finite strain SMA constitutive model: comparison of small and finite strain formulations

In this paper, we investigate the finite strain formulation of a previously proposed model for shape memory alloys in the small strain regime. The derivation is based on the multiplicative decomposition of the deformation gradient into elastic and transformation parts and utilizing the thermodynamics of irreversible process with internal variables. Some boundary value problems are considered to compare the effects of finite deformation in shape memory alloys-based structures. Finally we discuss on the limitation of small-strain based constitutive models in simulating shape memory alloy devices.