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Numerical solution of a curved crack problem by using hypersingular integral equation approach

✍ Scribed by Y.Z. Chen

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
649 KB
Volume
46
Category
Article
ISSN
0013-7944

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✦ Synopsis

Ahatraet-The plane elastic problem for a curved crack problem is studied by means of the hypersingular integral equation approach. Based on the solution of a doublet of dislocation, the hypersingular integral equation for the curved crack problem is formulated. The unknown function invalved is the crack opening displacement. Some hypersingular integrals along a curve are defined and several particular hypersingular integrals are quadratured in a closed form. After the crack opening displacement function is approximated by a weight function multiplied by a polynomial, the hypersingular integral in the equation can be evaluated in a closed form and the regular integral can be integrated numerically. Finally, the solution is obtainable. Numerical examples with tlte calculated stress intensity factors are given.

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