Abstract
The Cosserat Spectrum theory is applied in the theory of linear viscoelasticity. The solution for the Laplace transform of the displacement of the viscoelastic 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. This renders the Cosserat Spectrum theory advantageous for the solution of viscoelastic problems. Several examples are shown.
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