Abstract

In the present work we address a numerical method for calculation of corner singularities in three-dimensional elastic domains containing corners, cracks or multi-material interfaces. It is based on a separation of variables and a Galerkin-Petrov finite-element approximation and leads to a quadratic eigenvalue problem from which the singularity exponents and the angular functions in the asymptotical expansion of the solution are obtained as eigenpairs. By this method the practically important problem of a surface-breaking crack in a bi-material interface is studied. The singularity exponents are reported in dependence on different geometrical parameters and the material properties.

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