Abstract
A crack initiating from a rhombic rigid inclusion in an infinite plane is analyzed as a mixed‐boundary‐value problem of plane elasticity. Complex‐variable method is used with the aid of the rational mapping function of a sum of fractional expressions. A rigorous closed‐form solution is obtained for the shape expressed by the mapping function. The uniform tension and uniform shear stress are considered as loading condition. Stress distributions and stress‐intensity factors are computed for various combinations of crack length and corner angles. The intensity of corner of rigid inclusion is also computed. Through these analyses, we investigate the possibility of cracking and debonding initiation at the corner top when the crack becomes longer.
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