Pressure dependency, strength-differential effect, and plastic volume expansion in metals
type: Item
instance of: scholarly article
title: Pressure dependency, strength-differential effect, and plastic volume expansion in metals
zbMATH Open document ID: 0612.73044
DOI: 10.1016/0749-6419(85)90013-0
author: T. D. Sullivan
author: James Casey
published in: International Journal of Plasticity
publication date: 1985-01-01T00:00:00Z
review text: Within the framework of a purely mechanical rate-type theory of finitely deforming elastic-plastic materials, a special set of constitutive equations is introduced. These equations include a dependence both on mean normal stress and on plastic strain, and involve non-normality of plastic strain-rate. They accommodate both the strength-differential effect and plastic volume expansion. Values of the material coefficients in the constitutive equations are approximately determined with the help of published experimental data for AISI 4330 steel. The plastic strain- rate is shown to have a lager non-normal component, resulting in a small plastic volume expansion. The theory is in reasonable agreement with experiment for plastic strains up to about 2 \% in magnitude. Further experiments are suggested so that the constitutive coefficients can be completely and accurately determined.
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 3990991
zbMATH Keywords: rate-type theory
zbMATH Keywords: finitely deforming elastic-plastic materials
zbMATH Keywords: set of constitutive equations
zbMATH Keywords: mean normal stress
zbMATH Keywords: plastic strain
zbMATH Keywords: non-normality of plastic strain-rate
zbMATH Keywords: strength-differential effect
zbMATH Keywords: plastic volume expansion
MaRDI profile type: Publication
full work available at URL: 0749-6419(85)90013-0
OpenAlex ID: W2020164802
description: scientific article; zbMATH DE number 3990991