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The wave equation is considered, for all times, in a bounded plane domainwith an internal crack. The distance from one of the crack tips to the external boundary ofis 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.

Asymptotics of ‘stress intensity factors’ for solutions to wave equation at a crack tip close to external boundary