Abstract
AbstractThe complex potential for a single‐edge crack problem of an elastic half‐plane is proposed. The complex potential is obtained by distributing the dislocation density along the crack configuration, and satisfies the traction‐free condition along the boundary of the half‐plane. The multiple‐edge crack problem of an elastic half‐plane can be considered as a superposition of many single‐edge crack problems. Bearing this in mind, a singular integral equation for the multiple‐edge crack problem is formulated, where the distributing dislocation density serves as the unknown function and the traction applied on the crack faces serves as the right‐hand side in the resulting integral equation. A semi‐open quadrature rule is used to solve the singular integral equation. Several numerical examples are given. The ‘shadow effect’ is observed, which means the stress intensity factor at a crack tip is negligible if the crack is placed in some particular ‘shadow area’.
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