On uniqueness in linear viscoelasticity-Reference-Cited by-同舟云学术

On uniqueness in linear viscoelasticity

Published:1962 Issue:4 Volume:19 Page:355-359
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Breuer S.,Onat E. T.

Abstract

It is shown that solutions of a class of boundary value problems in linear vicoelasticity are unique, if the relaxation moduli in shear and compression are steadily decreasing functions of time which are convex from below and tend to non-negative constant asymptotic values.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1962-19-04/S0033-569X-1962-0136170-1/S0033-569X-1962-0136170-1.pdf

Reference5 articles.

1. See, for instance, E. H. Lee, Viscoelastic stress analysis, Proc., First Symposium on Naval Structural Mechanics, Pergamon, New York, 1960, p. 456

2. A definition of stable inelastic material;Drucker, D. C.;J. Appl. Mech.,1959

3. M. Loève, Probability theory. Van Nostrand, New York 1955, p. 207

4. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1948

5. O. D. Kellog, Foundations of potential theory, Dover, New York, 1953, p. 118

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