A method of constructing weighting functions for a circular crack
type: Item
instance of: scholarly article
title: A method of constructing weighting functions for a circular crack
zbMATH Open document ID: 0753.73065
DOI: 10.1016/0021-8928(90)90021-2
author: A. N. Borodachev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1992-09-26T00:00:00Z
review text: A general formulation is used to consider a static problem for a linearly elastic body with internal circular crack of normal separation. It is shown that the corresponding weighting function enabling a direct calculation to be made of the stress intensity factor under arbitrary loading conditions is equal to the product of the axisymmetric weighting function and Poisson's kernel. As an example, the weighting function is constructed for a circular crack in an unbounded inhomogeneous body with periodic law of variation in the value of Poisson's ratio. An asymptotic analysis of the solution obtained is carried out for a material with rapidly oscillating elastic characteristics.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 56418
zbMATH Keywords: static problem
zbMATH Keywords: normal separation
zbMATH Keywords: stress intensity factor
zbMATH Keywords: Poisson's kernel
zbMATH Keywords: unbounded inhomogeneous body
zbMATH Keywords: asymptotic analysis
MaRDI profile type: Publication
full work available at URL: 0021-8928(90)90021-2
OpenAlex ID: W2025225424
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description: scientific article; zbMATH DE number 56418