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Transient-wave solution for Lamb's problem at the free surface

CENTRO DE GEOCIÊNCIAS DEPARTAMENTO DE GEOFISICA UNIVERSIDADE FEDERAL DO PARÁ, CAIXA POSTAL 1611, BELÉM-PARÁ 66.000 Brasil
CENTRO DE CIÉNCIAS EXATAS E NATURAIS DEPARTAMENTO DE MATEMÁTICA UNIVERSIDADE FEDERAL DO PARÁ

Abstract

An exact analytic solution of Lamb's problem is presented with no approximation or restriction for material parameters or source observer geometries. The transient-wave field for a directional point force normal to the surface of an elastic half-space is given in terms of its constituent components: the body waves, the surface wave, and the near field. In contrast to other known solutions, ours enables us to characterize these wave phenomena separately.

Some outstanding features should be mentioned: the singularities appearing in the Green's function solution of the problem are integrable. The transient-wave solution presented is well-suited for numerical computation.