RESTRICTIONS ON RELAXATION FUNCTIONS IN LINEAR VISCOELASTICITY
- 1 November 1971
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 24 (4) , 487-497
- https://doi.org/10.1093/qjmam/24.4.487
Abstract
The behaviour of the isothermal relaxation function g(s), 0 < s < ∞, 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 < ∞.Keywords
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