journal article·2000-08

Perturbed cracks in two dimensions: An integral-equation approach

P.A. Martin

International Journal of Fracture· Volume 104· Issue 3
Publisher page

Abstract

A nominally straight crack of finite length is subjected to plane-strain loadings. A perturbation method is developed for calculating the stress-intensity factors, based on an asymptotic analysis of the governing hypersingular boundary integral equation for the crack-opening displacement. Known exact results for a shallow circular-arc crack are recovered, correct to second order in the small geometrical parameter. The method will extend to three-dimensional problems as it does not make essential use of two-dimensional techniques.
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Research context

OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Railway Engineering and Dynamics

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References (17)

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