Abstract
A solution is obtained for the second mixed boundary value problem with two boundaries loaded with external forces, and the other two boundaries simply supported. A rational mapping function formed as a sum of fractional expressions and complex stress functions is used for the analysis. A closed form solution can be obtained under uniform tensile and shearing loadings. These solutions are applicable to crack problems in linear elastic fracture mechanics. In order to illustrate the general solution, a double connected region is considered, in which interaction between a square hole with a crack extension and another crack is investigated. Stress distributions and stress intensity factors are obtained.
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