General solution to the problem of microcracks near the tip of a main crack
type: Item
instance of: scholarly article
title: General solution to the problem of microcracks near the tip of a main crack
zbMATH Open document ID: 0663.73068
DOI: 10.1016/0022-5096(87)90003-2
author: San-Xia Gong
author: Hideyuki Horii
published in: Journal of the Mechanics and Physics of Solids
publication date: 1989-01-01T00:00:00Z
review text: A general solution is obtained to the two-dimensional problem of the interaction between a main crack and multiple microcracks. Analysis is based on the method of pseudo-tractions, which is a general method for interaction problems. The stress intensity factors at the tips of both the main crack and microcracks are obtained in asymptotic forms and approximate closed-form solutions are also derived. Typical examples are presented for one collinear microcrack, one arbitrarily located microcrack and two arbitrarily located microcracks near the tip of the main crack. For one collinear microcrack the present solution is shown to coincide with the Taylor expansion of the exact solution, and inconsistencies in several previous solutions are compared. For arbitrarily located microcracks, the effects of the main crack-microcrack interaction and the microcrak-microcrack interaction are investigated. Application of the present model to the fracture process zone problem is discussed.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 4085189
zbMATH Keywords: method of pseudotractions
zbMATH Keywords: stress intensity factors
zbMATH Keywords: asymptotic forms
zbMATH Keywords: approximate closed-form solutions
zbMATH Keywords: collinear microcrack
zbMATH Keywords: arbitrarily located microcrack
MaRDI profile type: Publication
full work available at URL: 0022-5096(87)90003-2
OpenAlex ID: W2078925330
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description: scientific article; zbMATH DE number 4085189