On uniqueness in linear viscoelasticity: a family of counterexamples

Morro, A.; Fabrizio, M.

doi:10.1090/qam/895102

Authors: A. Morro and M. Fabrizio
Journal: Quart. Appl. Math. 45 (1987), 321-325
MSC: Primary 73F05
DOI: https://doi.org/10.1090/qam/895102
MathSciNet review: 895102
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Abstract: Within the framework of linear viscoelasticity a two-parameter family of relaxation functions are exhibited which allow nonuniqueness of the infinitesimal strain, for a given stress, in the space of sinusoidal-in-time strain histories. These relaxation functions are shown to be compatible with thermodynamics and to have a positive equilibrium elastic modulus.

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