Stability of solids with interfaces
type: Item
instance of: scholarly article
title: Stability of solids with interfaces
zbMATH Open document ID: 0760.73030
DOI: 10.1016/0022-5096(92)80006-C
author: S. Singh
published in: Journal of the Mechanics and Physics of Solids
publication date: 1993-01-17T00:00:00Z
review text: Stability, understood as uniqueness of solutions to quasi-static boundary value problems, is investigated for two semi-infinite solids bonded along a planar interface. The interface is characterized by a traction- displacement jump relation, so that dimensional considerations introduce a characteristic length. Stability is addressed in terms of the existence of certain stationary waves. Complex variable methods are exploited to obtain an explicit solution when the interface instability precedes bulk localization.
Mathematics Subject Classification ID: 74G99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 97894
zbMATH Keywords: minimum wavelength
zbMATH Keywords: linear elastic material
zbMATH Keywords: post-bifurcation analysis
zbMATH Keywords: uniqueness
zbMATH Keywords: quasi-static boundary value problems
zbMATH Keywords: semi-infinite solids
zbMATH Keywords: planar interface
zbMATH Keywords: traction-displacement jump relation
zbMATH Keywords: stationary waves
MaRDI profile type: Publication
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full work available at URL: 0022-5096(92)80006-c
OpenAlex ID: W2055235416
description: scientific article; zbMATH DE number 97894