The physics of plastic deformation
type: Item
instance of: scholarly article
title: The physics of plastic deformation
zbMATH Open document ID: 0616.73106
DOI: 10.1016/0749-6419(87)90021-0
author: E. C. Aifantis
published in: International Journal of Plasticity
publication date: 1987-01-01T00:00:00Z
review text: A simplified physical picture is extracted from the many complicated processes occurring during plastic deformation. It is based upon a set of continuously distributed straight edge dislocations, the carriers of plastic deformation, moving along their slip plane, interacting with each other and the lattice, multiplying and annihilating. The principles of continuum physics, that is the conservation laws of mass and momentum, and results from discrete dislocation modelling are then employed to analyze the situation and deduce a closed set of relations describing the evolution of deformation and the associated forces that bring it about. A simple method is suggested for extending these relations to macroscales. This way, current phenomenological models of plasticity are physically substantiated. Moreover, a framework is provided for rigorously constructing small and large deformation theories of plasticity. Finally, a new possibility is made available for capturing the salient features of the heterogeneity of plastic flow including the wavelength of persistent slip bands, the width of shear bands, and the velocity of Portevin-Le Chatelier bands.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 3999467
zbMATH Keywords: continuously distributed straight edge dislocations
zbMATH Keywords: carriers of plastic deformation
zbMATH Keywords: conservation laws of mass and momentum
zbMATH Keywords: discrete dislocation
zbMATH Keywords: closed set of relations
zbMATH Keywords: evolution of deformation
zbMATH Keywords: associated forces
zbMATH Keywords: macroscales
zbMATH Keywords: phenomenological models of plasticity
zbMATH Keywords: heterogeneity of plastic flow
zbMATH Keywords: wavelength of persistent slip bands
zbMATH Keywords: width of shear bands
zbMATH Keywords: velocity of Portevin-Le Chatelier bands
MaRDI profile type: Publication
full work available at URL: 0749-6419(87)90021-0
OpenAlex ID: W2165243201
description: scientific article; zbMATH DE number 3999467