Steady-state shear-bands in thermo-plasticity. I: Vanishing yield stress
type: Item
instance of: scholarly article
title: Steady-state shear-bands in thermo-plasticity. I: Vanishing yield stress
zbMATH Open document ID: 0762.73025
DOI: 10.1016/0020-7683(92)90193-W
author: Reza Malek-Madani
author: J. H. Maddocks
published in: International Journal of Solids and Structures
publication date: 1993-04-01T00:00:00Z
review text: This paper concerns the construction and stability properties of steady- state solutions of a system of partial differential equations that model simple shearing of a slab of thermo-plastic material. The class of constitutive laws that give rise to a variational formulation of the steady-state problem is identified, and a phase-plane argument is used to construct time-independent solutions that may be interpreted as steady- state shear-bands. Our variational framework captures several commonly adopted constitutive laws. Techniques from bifurcation theory for variational problems are applied to classify stable and unstable solutions.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 70G10
zbMATH DE Number: 146702
zbMATH Keywords: symmetric eigenvalue problem
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: existence theorems
zbMATH Keywords: stability
zbMATH Keywords: slab
zbMATH Keywords: variational formulation
zbMATH Keywords: phase-plane argument
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
full work available at URL: 0020-7683(92)90193-w
OpenAlex ID: W2028891267
description: scientific article; zbMATH DE number 146702