Computational aspects of one-dimensional shape memory alloy modeling with phase diagrams

A constitutive model for martensitic solid-solid phase transformations is d eveloped. Specifically, we investigate and model the one-dimensional behavi or of shape memory alloys, with the purpose of capturing both the shape mem ory effect and the pseudoelasticity effect which are uniquely exhibited by this class of alloys. The model is of the popular phase space type and an a ppropriate numerical approximation of the constitution is developed which r obustly handles arbitrary one-dimensional thermomechanical loading. Heurist ics are provided for treating two types of non-uniqueness issues that have been identified to arise with such models. Representative simulations demon strate the ability of the formulation to capture the essential macroscopic behavior of shape memory alloys. In particular, examples are shown solving truss bar and beam finite element problems. (C) 1999 Elsevier Science S.A. All rights reserved.