Summary
A Legendre mode solution is given for deformation of a solid isotropic linear viscoelastic sphere under applied surface stresses. Under the simplifying assumptions that the sphere is elastic in compression and standard linear solid in shear two relaxation times appear; one the creep relaxation time of the material, the other depending on mode. It is shown formally how to reduce the case of a layered viscoelastic sphere to an equivalent unlayered one.
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Campbell, D.L. The loading problem for a linear viscoelastic earth: I. Compressible, non-gravitating models. PAGEOPH 112, 997–1010 (1974). https://doi.org/10.1007/BF00881503
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DOI: https://doi.org/10.1007/BF00881503