A note on mean square maximum and minimum principles in dynamic linear viscoelasticity
Author:
W. A. Day
Journal:
Quart. Appl. Math. 42 (1985), 433-437
MSC:
Primary 73F15
DOI:
https://doi.org/10.1090/qam/766880
MathSciNet review:
766880
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Abstract: The purpose of this note is to point out that, in certain circumstances, the mean square values of the displacement, the strain, and the stress in a viscoelastic slab which is undergoing steady trigonometric (but not necessarily periodic) oscillation satisfy maximum or minimum principles.
M. J. Leitman and G. M. C. Fisher, The linear theory of viscoelasticity, in Encyclopedia of Physics, V1a/3, Springer-Verlag, Berlin, 1973
- Norbert Wiener, The Fourier integral and certain of its applications, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1988. Reprint of the 1933 edition; With a foreword by Jean-Pierre Kahane. MR 983891
M. J. Leitman and G. M. C. Fisher, The linear theory of viscoelasticity, in Encyclopedia of Physics, V1a/3, Springer-Verlag, Berlin, 1973
N. Wiener, The Fourier integral and certain of its applications, Cambridge University Press, Cambridge, 1933
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Article copyright:
© Copyright 1985
American Mathematical Society
