Abstract
The method of singular integral equations has become a classical method for solving plane and antiplane, static and dynamic crack problems in isotropic and anisotropic elasticity, particularly in cases where no closed-form solutions are available. In this paper, very simple methods are suggested for obtaining upper bounds for the stress intensity factors at the crack tips from the corresponding singular integral equation without solving this equation, even numerically, and with very few computations. Naturally, such a simplicity should lead to very conservative bounds and this is really the case. But, clearly, in a lot of practical cases such bounds are sufficient. Numerical results in simple crack problems show the efficiency of the proposed methods.
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