Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



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.

References [Enhancements On Off] (What's this?)

  • [1] M. J. Leitman and G. M. C. Fisher, The linear theory of viscoelasticity, in Encyclopedia of Physics, V1a/3, Springer-Verlag, Berlin, 1973
  • [2] 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

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DOI: https://doi.org/10.1090/qam/766880
Article copyright: © Copyright 1985 American Mathematical Society

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