On the thermodynamic framework of generalized coupled thermoelastic-viscoplastic-damage modeling
type: Item
instance of: scholarly article
title: On the thermodynamic framework of generalized coupled thermoelastic-viscoplastic-damage modeling
zbMATH Open document ID: 0814.73026
DOI: 10.1016/0749-6419(94)90003-5
author: A. F. Saleeb
author: S. M. Arnold
published in: International Journal of Plasticity
publication date: 1994-12-07T00:00:00Z
full work available at URL: http://hdl.handle.net/2060/19920005216
review text: The now standard thermomechanical approach using a convex energy density and a complementary dissipation potential with internal variables of state is used to model the mechanical response of materials presenting coupled thermoelastic-viscoplastic damage. This has become somewhat routine work, and the paper appears more like a variation on a now known theme. Various approximations corresponding to more or less decoupling between effects are discussed. The main argument is to recover or formulate the existing theories in the two-potential form originally introduced, after all, by Lord Rayleigh for simple processes one century ago and by H. Ziegler for elastic-plastic phenomena in the 1960s -- two authors who are not quoted in spite of the apparent wealth of citations.
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 690952
zbMATH Keywords: convex energy density
zbMATH Keywords: complementary dissipation potential
reviewed by: Gérard A. Maugin
MaRDI profile type: Publication
OpenAlex ID: W2017312146
description: scientific article; zbMATH DE number 690952