Slightly curved or kinked cracks in anisotropic elastic solids
type: Item
instance of: scholarly article
title: Slightly curved or kinked cracks in anisotropic elastic solids
zbMATH Open document ID: 0770.73065
DOI: 10.1016/0020-7683(92)90068-5
author: Cheng-Hsin Chiu
author: Huajian Gao
published in: International Journal of Solids and Structures
publication date: 1993-01-17T00:00:00Z
review text: (From the authors' abstract.) Slightly curved or kinked cracks in anisotropic elastic solids are studied via a perturbation analysis valid for the second order accuracy in the deviation of the crack surfaces from a straight line. The analysis is based on complex variable representations in the Stroh formalism and known solutions for a perfectly straight reference crack. First and second order perturbation solutions are given for the stress intensity factors at the tip of a finite curved crack under remote stresses in a solid with arbitrary anisotropy, and are used to establish an approximate relationship between the apparent and local stress intensities at a crack tip, in view of the possible shielding effects of the crack surface morphology near the tip. The role of anisotropy is examined for a number of problems including circular arc cracks, slightly jogged or kinked cracks, cosine wavy cracks, etc.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 97971
zbMATH Keywords: perturbation analysis
zbMATH Keywords: complex variable representations
zbMATH Keywords: Stroh formalism
zbMATH Keywords: stress intensity factors
zbMATH Keywords: crack tip
reviewed by: Jan Sladek
MaRDI profile type: Publication
full work available at URL: 0020-7683(92)90068-5
OpenAlex ID: W2057853899
description: scientific article; zbMATH DE number 97971