BOUNDARY-ELEMENT METHODS FOR VISCOELASTIC CONTINUA IN FREQUENCY-DOMAIN AND TIME-DOMAIN

Formulations of the boundary element method (BEM) currently include conventional viscoelastic constitutive equations in the frequency domain. The aim of the present paper is to implement viscoelastic behaviour in a time domain approach as well. The elastic Stokes fundamental solution is converted to a viscoelastic one by adopting a correspondence principle. A novel viscoelastic fundamental solution is obtained analytically by inverse Laplace transformation. A frequency domain BE approach is generalized by taking viscoelastic constitutive equations with fractional order time derivatives into account. It is shown that the boundary matrix epsilon(ij) for non smooth boundaries in a dynamic formulation equals the elastostatic matrix.