Geodesic
Some variational principles for nonlinear elastodynamics
Applications of Mathematics, Tome 12 (1967) no. 2, pp. 107-118

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MR Zbl
Three variational principles of linear elastodynamics for two initial conditions, recentrly established by M. R. Gurtin, are extended to nonlinear problems with large elastic deformations.
Three variational principles of linear elastodynamics for two initial conditions, recentrly established by M. R. Gurtin, are extended to nonlinear problems with large elastic deformations.
DOI : 10.21136/AM.1967.103076
Classification : 73-49
Keywords: mechanics of solids 
Hlaváček, Ivan. Some variational principles for nonlinear elastodynamics. Applications of Mathematics, Tome 12 (1967) no. 2, pp. 107-118. doi: 10.21136/AM.1967.103076
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[1] M. E. Gurtin: Variational Principles for Linear Elastodynamics. Archive for Rat. Mech. Anal. 16, 1, 34-50 (1964). | DOI | MR | Zbl

[2] W. Prager: Einführung in die Kontinuumsmechanik. Birkhäuser Verlag 1961. | MR | Zbl

[3] Л. Aйнола: О вариционной задаче Кастильяно динамики нелинейной теории упругости. Изв. АН Эстон. CCP, т. X, сер. физ.-мат н. 1, 22-27 (1961). | Zbl

[4] Yi Yuan Yu: Generalized Hamilton's Principle and Variational Equation of Motion in Nonlinear Elasticity Theory with Applications to Plate Theory. J. Acoust. Soc. America, 36, 1, 111-120 (1964). | DOI | MR

[5] O. D. Kellog: Foundations of Potential Theory. Springer, Berlin 1929. | MR

[6] Л. M. Качанов: Теория ползучести. Москва 1960. | Zbl

[7] Нu Hai Chang: On some variational principles in the theory of elasticity and plasticity. Scientia Sinica 4, 1, 33 (1955).

[8] K. Washizu: On the variational principles of elasticity and plasticity. ASRL TR 25 - 18. Massachusetts Institute of Technology (1955).

[9] E. Reissner: О некоторых вариационных теоремах теории упругости. Проблемы механики сплошной среды (к 70-летию ак. H. И. Мусхелишвили), Москва 1961, 328 - 337. | Zbl

[10] E. Hellinger: Die allgemeinen Ansätze der Mechanik der Kontinua. Enzyklopädie der Mathematischen Wissenschaften, 4, parts 4 & 5 (1914).

[11] I. Hlaváček: Derivation of non-classical variational principles in the theory of elasticity. Aplikace matematiky 12 (1967), 1, 15 - 29. | MR

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