Inelastic behavior of materials. II: Energetics associated with discontinuous deformation twinning
type: Item
instance of: scholarly article
title: Inelastic behavior of materials. II: Energetics associated with discontinuous deformation twinning
zbMATH Open document ID: 0905.73002
DOI: 10.1016/S0749-6419(96)00049-6
published in: International Journal of Plasticity
publication date: 1999-02-02T00:00:00Z
review text: Following part I [the authors, ibid. 11, No. 6, 653-678 (1995; Zbl 0858.73006)] devoted the development of a macroscopic theory to model the inelastic deformation twinning of polycrystals, we provide in this paper a thermomechanical framework for the study, albeit under the assumption that the process is isothermal. A criterion based on energetics is proposed for the initiation and propagation of twinning. The theory is based on the notion of multiple natural configurations. We bring out the important role played by the dissipative processes on the onset and arrest of twinning. We show that the entire constitutive structure of the material can be reduced to the specification of three scalar functions to model ``quasi-equilibriated deformation twinning': the Helmholtz potential \(\psi\), the rate of dissipation function \(\xi\) and the activation function \(g\).
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 1076925
zbMATH Keywords: polycrystalline material
zbMATH Keywords: material symmetry
zbMATH Keywords: quasi-equilibriated deformation twinning
zbMATH Keywords: initiation and propagation of twinning
zbMATH Keywords: multiple natural configurations
zbMATH Keywords: Helmholtz potential
zbMATH Keywords: rate of dissipation function
zbMATH Keywords: activation function
author: K. R. Rajagopal
author: Arun R. Srinivasa
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1076925