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The loading problem for a linear viscoelastic earth: I. Compressible, non-gravitating models

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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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Author notes

  1. David L. Campbell (Assistant Professor of Mining)

    Present address: Denver Federal Center, U.S. Geological Survey, 80225, Denver, Colorado

Authors and Affiliations

  1. Henry Krumb School of Mines, Columbia University, 10027, New York, N.Y.

    David L. Campbell (Assistant Professor of Mining)

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  1. David L. Campbell
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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

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