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Fading memory spaces and approximate cycles in linear viscoelasticity. (English) Zbl 0699.73026
(Authors’ summary.) The theory of linear isothermal viscoelasticity is revisited within the context of materials with fading memory. The compatibility with thermodynamics is investigated by considering approximate cycles in a very general sense. As a result, necessary and sufficient conditions, on the relaxation function, for the validity of the second law are derived which emphasize the role of sinusoidal histories.
Reviewer: S.Christiansen

MSC:
74Hxx Dynamical problems in solid mechanics
74A15 Thermodynamics in solid mechanics
74D05 Linear constitutive equations for materials with memory
74D10 Nonlinear constitutive equations for materials with memory
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
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