Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Asymptotic stability in nonlinear viscoelasticity

Authors: C. E. Beevers and M. Šilhavý
Journal: Quart. Appl. Math. 42 (1984), 281-294
MSC: Primary 73F99
DOI: https://doi.org/10.1090/qam/757166
MathSciNet review: 757166
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Abstract: In this paper we present sufficient conditions for asymptotic stability of a homogeneous equilibrium state of a (nonlinear) elastic body with linear viscosity. The body is subject to external conditions of zero displacements on a part of the boundary, zero surface tractions on the remaining part of the boundary and zero body forces in the interior of the body. The meaning and further qualitative consequence of our conditions are also discussed.

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DOI: https://doi.org/10.1090/qam/757166
Article copyright: © Copyright 1984 American Mathematical Society

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