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Hlaváček, Ivan

On Reissner’s variational theorem for boundary values in linear elasticity. (English) Zbl 0228.73028

Apl. Mat. 16, 109-124 (1971).
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MSC:

74B05 Classical linear elasticity
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
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\textit{I. Hlaváček}, Apl. Mat. 16, 109--124 (1971; Zbl 0228.73028)
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References:

[1] E. Reissner: On some variational theorems in elasticity. Problems of Continuum Mechanics, 370-381. Contributions in honor of 70th birthday of N. I. Muschelišvili, 1961.
[2] D. Rüdiger: Zur Trefftzschen Methode in der Elastizitätstheorie. Appl. Mech., Proc. XIth internát. Congr. appl. Mech., Munich 1964, 350-354, 1966.
[3] К. Ф. Черных: Линейная теория оболочек. ч. II, гл. IX., Издат. Ленинград, унив., 1964. · Zbl 1117.65300
[4] I. Hlaváček: Derivation of non-classical variational principles in the theory of elasticity. Aplikace matematiky 12, 1967, 1, 15-29.
[5] I. Hlaváček: Variational principles in the linear theory of elasticity for general boundary conditions. Aplikace matematiky 12, 1967, 6, 425 - 448. · Zbl 0153.55401
[6] I. Hlaváček J. Nečas: On inequalities of Korn’s type. II. Applications to linear elasticity. Archive for Ratl. Mech. Anal. 36, 1970, 312-334. · Zbl 0193.39002 · doi:10.1007/BF00249519
[7] С. Г. Михлин: Проблема минимума квадратичного функционала. Гостехиздат, 1952. · Zbl 1145.11324
[8] С. Г. Михлин: Вариационные методы в математической физике. Москва 1957. · Zbl 0995.90594 · doi:10.1287/mnsc.3.4.403
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