Abstract
The application of two new variable singularity boundary elements (BEs) in the solution of interaction of neighbouring singularities is presented. The first element can model the variable order strain and traction singularities at one end of the element. The second element can simulate the variable strain and traction singularities at both ends of the element simultaneously. These elements are employed for the computation of stress intensity factors in crack–crack interaction problems. To improve the accuracy of such computations a modified crack closure integral (MCCI) method is adopted. To illustrate the usefulness of these elements in the study of neighbouring singularities, a number of examples are presented including, Z-shaped crack, multiple kinked surface crack, multiple edge cracks, interaction of a microcrack with a cross-shaped crack at a bimaterial strip.
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