A boundary perturbation analysis for elastic inclusions and interfaces
type: Item
instance of: scholarly article
title: A boundary perturbation analysis for elastic inclusions and interfaces
zbMATH Open document ID: 0755.73030
DOI: 10.1016/0020-7683(91)90151-5
published in: International Journal of Solids and Structures
publication date: 1993-01-16T00:00:00Z
review text: The Muskhelishvili's complex variable representations of the two- dimensional elasticity theory are applied to perfectly circular or slightly perturbed non-circular inclusions embedded in an infinite plane. For inclusions with smooth polygon shapes are given explicit solutions by means of cosine wavy perturbations along a circular boundary. The results can be extended for other perturbations of boundaries in stressed medium. Meanwhile such boundaries become instable for perturbations bounded by two critical wavelengths. The stress concentrations may also occur, fact which may involve plastic deformation or brittle fracture before the bulk stress reaches a critical value. The results present interest for different mechanical phenomena (as for instance the stability of geologic layers under pressure and gravity effects, etc.).
reviewed by: M. Mişicu
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 91089
zbMATH Keywords: circular inclusion
zbMATH Keywords: inclusions with smooth polygon shapes
zbMATH Keywords: cosine wavy perturbations
zbMATH Keywords: stress concentrations
zbMATH Keywords: plastic deformation
zbMATH Keywords: brittle fracture
author: Huajian Gao
MaRDI profile type: Publication
full work available at URL: 0020-7683(91)90151-5
OpenAlex ID: W1988288214
description: scientific article; zbMATH DE number 91089