Nonsingular traction BIEs for crack problems in elastodynamics

Abstract

The nonsingular traction BIEs are derived for the Laplace transforms in elastodynamic crack problems. Two different forms of the final nonsingular traction BIEs are received with respect to the leading singularity of the integral kernels involved. In the first one, the traction BIE is derived from the integral representation of stresses which involves hypersingular kernels. In the second way, the partially regularized integral representation of stresses with strongly singular kernels is used as a starting point. The singular integrals are transformed to nonsingular ones by making use of the Stokes theorem.