Abstract
The wave equation is considered, for all times , in a bounded plane domain with an internal crack. The distance from one of the crack tips to the external boundary of is proportional to a small parameter . Dirichlet or Neumann condition is given on the whole boundary of . Near the crack tip, the first derivatives of solutions have square-root () singularities. The asymptotics of the ‘stress intensity factors’ of such singularities are deduced as .
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