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Online ISSN 1552-4485; Print ISSN 0033-569X
On the equipartition of energy in a linear viscoelastic body
Author:
David W. Reynolds
Journal:
Quart. Appl. Math. 42 (1984), 325-336
MSC:
Primary 73F15
DOI:
https://doi.org/10.1090/qam/757171
MathSciNet review:
757171
Full-text PDF Free Access
References | Similar Articles | Additional Information
- W. A. Day, Means and autocorrelations in elastodynamics, Arch. Rational Mech. Anal. 73 (1980), no. 3, 243–256. MR 564662, DOI https://doi.org/10.1007/BF00282205
- Howard A. Levine, An equipartition of energy theorem for weak solutions of evolutionary equations in Hilbert space: the Lagrange identity method, J. Differential Equations 24 (1977), no. 2, 197–210. MR 437874, DOI https://doi.org/10.1016/0022-0396%2877%2990144-9 L. Brun, Méthodes énergétiques dans les systèmes évolutifs linéaires. I. Séparation des énergies, J. Mécanique. 8, 125–166 (1969)
- W. A. Day, The decay of the energy in a viscoelastic body, Mathematika 27 (1980), no. 2, 268–286 (1981). MR 610712, DOI https://doi.org/10.1112/S0025579300010159
- W. A. Day, Restrictions on relaxation functions in linear viscoelasticity, Quart. J. Mech. Appl. Math. 24 (1971), 487–497. MR 317631, DOI https://doi.org/10.1093/qjmam/24.4.487
- G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. MR 0046395 M. E. Gurtin, The linear theory of elasticity, Handbuch der Physik, Vol. VIa2, Springer-Verlag, Berlin, Heidelberg, New York, 1972
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Article copyright:
© Copyright 1984
American Mathematical Society