On the role of strain gradients in adiabatic shear banding
type: Item
instance of: scholarly article
title: On the role of strain gradients in adiabatic shear banding
zbMATH Open document ID: 0868.73028
DOI: 10.1007/BF01187731
author: Hongtao Zhu
author: E. C. Aifantis
author: Hussein M. Zbib
published in: Acta Mechanica
publication date: 1996-11-07T00:00:00Z
review text: The effect of higher order strain gradients on adiabatic shear banding is investigated by considering the simple shearing of a heat-conducting thermoviscoplastic material with a gradient-dependent flow stress. The competition between the gradient-dependent plastic flow and heat conduction, and their influence on the shear band width and structure are examined. Two internal length scales, i.e. the deformation internal length and the thermal internal length, are incorporated into the linear stability analysis, which shows that the band width size scales either with the square root of the strain gradient coefficient (in the absence of heat conduction) or the thermal conductivity (in the absence of strain gradients), respectively. The numerical computation for the nonlinear problem reveals that the ``diffusive'' effect of the strain gradient is much stronger than that of the heat conduction and dictates the constitutive response of the material in the postlocalization regime, and shows that the deformation length scale is much larger than the thermal length scale. The band width predicted by the gradient theory agrees reasonably well with experimental observations found in the literature.
Mathematics Subject Classification ID: 74C10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 923811
zbMATH Keywords: diffusive effect
zbMATH Keywords: heat-conducting thermoviscoplastic material
zbMATH Keywords: gradient-dependent flow stress
zbMATH Keywords: shear band width
zbMATH Keywords: deformation internal length
zbMATH Keywords: thermal internal length
zbMATH Keywords: linear stability analysis
zbMATH Keywords: postlocalization regime
MaRDI profile type: Publication
cites work: Thermoplastic instability in simple shear
cites work: The physics of plastic deformation
cites work: A Gradient-Dependent Flow Theory of Plasticity: Application to Metal and Soil Instabilities
cites work: Thermoviscoplastic shear instability and higher order strain gradients
cites work: The stabilizing role of higher-order strain gradients in nonlinear thermoviscoplasticity
cites work: On the role of gradients in the localization of deformation and fracture
cites work: Q5731719
cites work: On the gradient-dependent theory of plasticity and shear banding
full work available at URL: https://doi.org/10.1007/bf01187731
OpenAlex ID: W2021462644
description: scientific article; zbMATH DE number 923811