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Mathematics and Mechanics of Solids
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Vanishing Relaxation Limit of Viscoelasticity

Yumei Wu

I-Shih Liu

Instituto de Matemaacgrtica, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, CEP 21945-970, Rio de Janeiro, Brazil

A rate-type viscoelastic material with very small relaxation time parameter should be almost an elastic material intuitively. In this paper, we shall prove that smooth solutions of initial-boundary value problems, with periodic boundary conditions of a one-dimensional elastic body, can be obtained as the vanishing relaxation limits of the corresponding viscoelastic problems.

Mathematics and Mechanics of Solids, Vol. 1, No. 2, 227-241 (1996)
DOI: 10.1177/108128659600100206
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