Steady shearing in a viscoplastic solid
type: Item
instance of: scholarly article
title: Steady shearing in a viscoplastic solid
zbMATH Open document ID: 0608.73043
DOI: 10.1016/0022-5096(87)90008-1
author: T. W. Wright
published in: Journal of the Mechanics and Physics of Solids
publication date: 1987-01-01T00:00:00Z
review text: Steady shearing solutions are found as quadratures within the context of a simple theory of viscoplasticity, which includes thermal softening and heat conduction. The solutions are illustrated by numerical examples for four commonly used versions of viscoplasticity, where each version has first been calibrated against the same hypothetical data set. It is found that, although they all predict qualitatively similar morophology, the four flow laws give results that differ in detail and one in particular differs substantially from the other three at the more extreme conditions. Although definitive data do not exist, there appears to be rough agreement with physical measurements of adiabatic shear bands. The conjecture is made that steady solutions correspond to central boundary layers for the full unsteady theory.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 3984696
zbMATH Keywords: departure from unstable homogeneous deformations
zbMATH Keywords: Steady shearing solutions
zbMATH Keywords: thermal softening
zbMATH Keywords: heat conduction
MaRDI profile type: Publication
full work available at URL: 0022-5096(87)90008-1
OpenAlex ID: W2026222230
cites work: Approximate linear stability analysis of a model of adiabatic shear band formation
description: scientific article; zbMATH DE number 3984696