Abstract
A 2D mechanical analysis was performed on an infinite plate containing a circular hole with two collinear edge cracks of unequal lengths, under uniformly distributed shear load at infinity. Based on the complex variable function method, the analytic solutions of stress functions and stress intensity factors were obtained. Through an numerical example, the stress distributions along the coordinate axes and the hole edge were given in the graphical form, and the stress intensity factors were also calculated. The results show that, there is obvious stress concentration near the hole and the cracks, and the stress values far from the defects tend towards the applied load, which conforms to the Saint-Venant’s principle. In addition, the results from the finite element simulation agree well with the analytic solutions, to prove the correctness of the theoretical derivation.
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