Reciprocal theorems for self-similar wedge and crack problems and some generalisations
type: Item
instance of: scholarly article
title: Reciprocal theorems for self-similar wedge and crack problems and some generalisations
zbMATH Open document ID: 0582.73089
DOI: 10.1016/0020-7225(86)90026-1
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: Reciprocal theorems are presented here for a class of time-dependent problems of antiplane strain elasticity. The application of these theorems is illustrated by considering the problem of shear waves in an elastic wedge and the problems of crack forking or kinking. A generalized Chaplygin transformation is given for media with a power law radially varying density and this is applied to the problem of rapid tearing of a dynamically loaded wedge of such a material.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74J10
zbMATH DE Number: 3932558
zbMATH Keywords: invariant integrals
zbMATH Keywords: conformal mapping
zbMATH Keywords: choice of complex functions
zbMATH Keywords: Reciprocal theorems
zbMATH Keywords: time-dependent problems
zbMATH Keywords: antiplane strain elasticity
zbMATH Keywords: elastic wedge
zbMATH Keywords: crack forking
zbMATH Keywords: kinking
zbMATH Keywords: generalized Chaplygin transformation
zbMATH Keywords: power law radially varying density
zbMATH Keywords: rapid tearing
zbMATH Keywords: dynamically loaded wedge
Wikidata QID: Q60171562
author: C. Atkinson
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90026-1
OpenAlex ID: W1993819659
cites work: Q5186871
cites work: Shear waves in an elastic wedge
cites work: Dynamic Propagation of a Kinked or Bifurcated Crack in Antiplane Strain
cites work: Two Analytical Solutions for Dynamic Crack Bifurcation in Antiplane Strain
cites work: Mode-III crack kinking under stress-wave loading
cites work: The dynamic stresses induced by the propagation of skew cracks
description: scientific article; zbMATH DE number 3932558