On the validity of the singular integral equations of crack problems at the crack tips
type: Item
instance of: scholarly article
title: On the validity of the singular integral equations of crack problems at the crack tips
zbMATH Open document ID: 0534.73074
DOI: 10.1007/BF01170416
author: N. E. Zubov
published in: Acta Mechanica
publication date: 1983-01-01T00:00:00Z
review text: Singular integral equations (with Cauchy type kernels) have been solved numerically treating the end points as collocation points. An alternate method is given for the derivation of the natural extrapolation formula for calculating approximate values of stress intensity factors at crack tips. The results are generalized for a singular integral equation (with Cauchy type kernel) of the second kind with constant coefficients and index equal to 1.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 3848753
zbMATH Keywords: equations of first kind
zbMATH Keywords: index equal to 1 at end-points of integration interval
zbMATH Keywords: mild continuity assumptions
zbMATH Keywords: divergent integral
zbMATH Keywords: finite-part integral
zbMATH Keywords: natural extrapolation formula
zbMATH Keywords: stress intensity factors at crack tips
zbMATH Keywords: generalization to equations of second kind
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3848753