One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials

TLDR

The thermoelastic martensitic transformation and its reverse have been proposed for active control applications, but existing constitutive models lack key concepts needed for intelligent material systems such as shape memory hybrid composites. This paper develops a complete, unified one‑dimensional constitutive model for shape memory materials. The model incorporates energy dissipation governing damping, stress–strain–temperature relations for pseudoelasticity, and the shape memory effect to investigate internal phase transformation characteristics. Numerical examples demonstrate the model’s applicability.

Abstract

The use of the thermoelastic martensitic transformation and its reverse transformation has recently been proposed and demonstrated for several active control ap plications. However, the present constitutive models have lacked several important funda mental concepts that are essential for many of the proposed intelligent material system ap plications such as shape memory hybrid composites. A complete, unified, one-dimensional constitutive model of shape memory materials is developed and presented in this paper. The thermomechanical model formulation herein will investigate important material characteristics involved with the internal phase transformation of shape memory alloys. These characteristics include energy dissipation in the material that governs the damping behavior, stress-strain-temperature relations for pseudoelasticity, and the shape memory effect. Some numerical examples using the model are also presented.