A thermodynamical constitutive model for shape memory materials. I: The monolithic shape memory alloy
type: Item
instance of: scholarly article
title: A thermodynamical constitutive model for shape memory materials. I: The monolithic shape memory alloy
zbMATH Open document ID: 0898.73020
DOI: 10.1016/S0749-6419(96)00030-7
published in: International Journal of Plasticity
publication date: 1998-11-08T00:00:00Z
review text: Pseudoelasticity and the shape memory effect due to martensitic transformation and reorientation of polycrystalline shape memory alloy materials are modeled using a free energy function and a dissipation potential. Three different cases are considered, based on the number of internal state variables in the free energy: (1) austenite plus a variable number of martensite variants; (2) austenite plus two types of martensite; and (3) austenite and one type of martensite. Closed form equations are derived for the damping capacity and the actuator efficiency of converting heat into work. The first law of thermodynamics is used to demonstrate that significantly more work is required to complete the adiabatic transformation than the isothermal transformation. Also, as the hardening due to the austenite/martensite misfit stresses approaches zero, the transformation approaches the isothermal, infinite specific heat conditions of a first-order transformation.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 1022866
zbMATH Keywords: martensitic transformation
zbMATH Keywords: reorientation
zbMATH Keywords: free energy function
zbMATH Keywords: dissipation potential
zbMATH Keywords: internal state variables
zbMATH Keywords: austenite
zbMATH Keywords: damping capacity
zbMATH Keywords: actuator efficiency
zbMATH Keywords: first law of thermodynamics
zbMATH Keywords: adiabatic transformation
zbMATH Keywords: austenite/martensite misfit stresses
author: James G. IV Boyd
author: Dimitris C. Lagoudas
MaRDI profile type: Publication
full work available at URL: s0749-6419(96)00030-7
OpenAlex ID: W2067870911
description: scientific article; zbMATH DE number 1022866