Abstract
The system of the singular integral equations for the double crack problem is presented. Basic idea is the approximation of the displacement jump function along the crack by a polynomial multiplied by a weight function. The single-valuedness condition of displacements is satisfied automatically, and the Cauchy singular integrals in the resulting integral equations can be evaluated in a closed form. Letting the integral equations be satisfied at some discrete points, the undetermined coefficients in the assumed polynomial can be obtained immediately. Therefore, theK-factors at the crack tips are obtainable. The problem of multiple curved cracks can be solved in a similar way. Several examples demonstrate the interaction effect between two cracks with the curve configuration.
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