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
.
Disclosure statement
No potential conflict of interest was reported by the author.