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The Quarterly Journal of Mechanics and Applied Mathematics 1971 24(4):487-497; doi:10.1093/qjmam/24.4.487
© 1971 by Oxford University Press
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RESTRICTIONS ON RELAXATION FUNCTIONS IN LINEAR VISCOELASTICITY

W. A. DAY

( Hertford College Oxford )

The behaviour of the isothermal relaxation function g(s), 0 < s < {infty}, of an anisotropic linear viscoelaetic material can be restricted in a realistic way either by assuming that the material is compatible with thermodynamics, in a certain sense, or by the different but closely related assumption that the material is dissipative. The paper proves a theorem connecting the two restrictions and a theorem relating each restriction to the existence of an isothermal free-energy functional. Counterexamples are constructed to the assertion that compatibility with thermodynamics implies the symmetry of g for 0 < s < {infty}.


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 Mathematics and Mechanics of SolidsHome page
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The Relaxed Work Functional in Linear Viscoelasticity
Mathematics and Mechanics of Solids, April 1, 2004; 9(2): 175 - 208.
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