Application of the Cosserat Spectrum theory to viscoelasticity

The Cosserat Spectrum theory is applied in the theory of linear viscoelasti city. The solution for the Laplace transform of the displacement of the vis coelastic problem is expressed in a series of the Cosserat eigenfunctions, which are dependent only on position, and the coefficients are expressed as convolutions of the time dependent body force or surface loading provided that the inverse Laplace transforms of the viscoelastic moduli are known. T his renders the Cosserat Spectrum theory advantageous for the solution of v iscoelastic problems. Several examples are shown. (C) 1998 Elsevier Science Ltd. Air rights reserved.