Novel weight function approach for plane elasticity crack problems
type: Item
instance of: scholarly article
title: Novel weight function approach for plane elasticity crack problems
zbMATH Open document ID: 0917.73053
DOI: 10.1016/S0020-7225(96)00058-4
author: Norio Hasebe
author: Y. Z. Chen
published in: International Journal of Engineering Science
publication date: 1998-06-11T00:00:00Z
review text: In the case of boundary traction in equilibrium, we obtain a weight function for evaluating the stress intensity factors which does not depend on elastic constants. To complete derivation, a singular field called the \(\beta_1\)-field is introduced, which has an order of \(O(r^{-1/2})\) for the displacements and \(O(r^{-3/2})\) for the stresses at the vicinity of the crack tip. We also introduce a complementary regular field, called the \(\beta_2\)-field, in which the applied boundary tractions are opposite to those derived from the \(\beta_1\)-field. Numerical examples demonstrate the efficiency of the approach.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1162180
zbMATH Keywords: stress intensity factors
zbMATH Keywords: singular field
zbMATH Keywords: crack tip
zbMATH Keywords: complementary regular field
MaRDI profile type: Publication
cites work: Some remarks on elastic crack-tip stress fields
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cites work: The theory of higher order weight functions for linear elastic plane problems
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Wikidata QID: Q127548949
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description: scientific article; zbMATH DE number 1162180