Abstract
The dynamic equation of linear viscoelasticity of integral type is considered. This equation contains a fourth-order relaxation tensor which only depends on time and accounts for the viscoelastic effects. We show that this tensor is identified by suitable boundary stresses, provided that the displacement vector field solves a given Cauchy-Dirichlet problem for the viscoelastodynamics equation.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF03167305.
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Grasselli, M. Determining the relaxation tensor in linear viscoelasticity of integral type. Japan J. Indust. Appl. Math. 11, 131–153 (1994). https://doi.org/10.1007/BF03167218
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DOI: https://doi.org/10.1007/BF03167218