Boundary element calculation of transient response of viscoelastic solids based on inverse transformation (Q1374137)

The authors apply the boundary element method to mixed boundary and initial value problems of solid mechanics for bounded and unbounded domains. Linear elastodynamic equations of motion, with the boundary conditions and initial conditions, are cast into boundary integral equations. Viscoelastic constitutive behaviour is implemented by means of the Laplace transform technique based on an elastic-viscoelastic correspondence principle. The calculation of transient response requires time discretization and spatial discretization on the boundary only, thus reducing the problem dimension by one. As a numerical example, the authors study the impact response of a base plate bonded on a viscoelastic soil half-space.