Interfacial circular crack in cylindrically anisotropic composites under antiplane shear
type: Item
instance of: scholarly article
title: Interfacial circular crack in cylindrically anisotropic composites under antiplane shear
zbMATH Open document ID: 0877.73052
DOI: 10.1016/0020-7683(95)00006-V
author: Juan-Miguel Gracia
published in: International Journal of Solids and Structures
publication date: 1997-03-09T00:00:00Z
review text: The paper investigates the antiplane shear problem of a dissimilar interfacial circular crack in cylindrically anisotropic composites. Using the theory of analytical functions, a general solution based on a complex variable displacement function is obtained, which is similar to Lekhnitskii's stress potentials for rectilinearly anisotropic material. For some cases, the circular crack problems are reduced to Hilbert problems which are solved in a closed form. The first three-term asymptotic expansions of the near crack-tip stress field are given to identify the role of the curvature effect. The asymptotic solutions are further compared with exact solutions.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 989068
zbMATH Keywords: theory of analytical functions
zbMATH Keywords: complex variable displacement function
zbMATH Keywords: Lekhnitskii's stress potentials
zbMATH Keywords: Hilbert problems
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: near crack-tip stress field
zbMATH Keywords: curvature effect
MaRDI profile type: Publication
full work available at URL: 0020-7683(95)00006-v
OpenAlex ID: W2005772555
Wikidata QID: Q127976769
description: scientific article; zbMATH DE number 989068