A NUMERICAL SCHEME FOR AXISYMMETRICAL ELASTIC-WAVES IN SOLIDS

The paper considers the axisymmetric stress wave propagation in linear elastic solids which is governed by a system of hyperbolic PDEs with a source term. First, an explicit finite difference scheme is dealt wi th. Then problems related to the stress wave propagation and focussing in two-dimensional axisymmetric solids are studied using the obtained numerical scheme. Results are presented for the wave propagation in a half space loaded by an impact in a circular surface area, the dynami c stress intensity factor of a penny-shaped crack, the focussing of th e von Schmidt wave in an impacted cylinder and the wave focussing in a hemispherically ended cylinder. For reasons of validation, comparison s are made with results gained by other authors. Some new improvements and explanations of the stress increases at cracks and in focussing z ones could be attained.