Hypersingular quarter-point boundary elements for crack problems. (English) Zbl 0831.73077

The paper deals with the study and effective implementation of a mixed boundary element approach for stress intensity factor computation based on the standard displacement integral equation and the hypersingular traction integral equation. Expressions for the evaluation of the hypersingular integrals along general curved quadratic line elements are presented.
The integration is carried out by transformation of the hypersingular integrals into regular integrals, which are evaluated by standard quadratures, and simple singular integrals, which are integrated analytically. The generality of the method allows for the modelling of curved cracks and the use of straight line quarter-point elements. The stress intensity factors can be computed very accurately from the crack opening displacement at collocation points extremely close to the crack tip. Several examples with different crack geometries are analyzed.


74S15 Boundary element methods applied to problems in solid mechanics
74R99 Fracture and damage
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