Analysis of anisotropy and plastic spin effects on localization phenomena
type: Item
instance of: scholarly article
title: Analysis of anisotropy and plastic spin effects on localization phenomena
zbMATH Open document ID: 0928.74018
author: Maria K. Duszek-Perzyna
author: Piotr Perzyna
published in: Archive of Applied Mechanics
publication date: 2000-01-09T00:00:00Z
review text: This paper presents a thorough investigation of the influence of anisotropy and plastic spin effects on the expressions of criteria for the formation of localized adiabatic shear bands. In order to fulfill this ambitious aim, a rather comprehensive theory of thermoplasticity is first set forth, including the influence of a set of internal variables and given in a covariant framework that allows for an invariant formulation of rate-type material evolution. The multiplicity of effects includes: plastic non-normality, plasticity-induced anisotropy (kinematic hardening), micro-damage mechanisms, thermomechanical couplings and, obviously, plastic spin. A particular constitutive law for the plastic spin is chosen after some discussion of the roles of various cooperative (synergetic) phenomena. As became standard, the necessary condition for the formation of localized plastic deformation is deduced from an acceleration-wave analysis (vanishing of the eigenvalues of instantaneous adiabatic acoustic tensor). More specific analytic forms of this criterion are obtained in two cases: the first case where plastic spin, spatial covariance, and kinematic hardenings are the most relevant effects viewed in an isothermal process developing in an undamaged solid; the second case where spatial covariance terms and plastic spin effects can be neglected in an adiabatic process in a damaged solid. The above-mentioned effects are examined with particular focus on synergetic (cooperative) ones. Both qualitative discussion and numerical estimation of the effects are given by way of conclusion. A rich bibliography completes the paper.
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 1218490
zbMATH Keywords: criteria for formation of localized adiabatic shear bands
zbMATH Keywords: kinematic hardening
zbMATH Keywords: thermoplasticity
zbMATH Keywords: internal variable
zbMATH Keywords: plastic non-normality
zbMATH Keywords: micro-damage mechanisms
zbMATH Keywords: acceleration-wave analysis
reviewed by: Gérard A. Maugin
MaRDI profile type: Publication
full work available at URL: s004190050171
OpenAlex ID: W2033568613
DOI: 10.1007/S004190050171
description: scientific article; zbMATH DE number 1218490