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Title: Variational principles in the linear theory of elasticity for general boundary conditions (English)
Author: Hlaváček, Ivan
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 12
Issue: 6
Year: 1967
Pages: 425-448
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and tangential directions to the boundary surface separately. Classical variational principles are derived using functional analysis methods, especially methods of Hilbert space. Furthermore, generalized variational principles and bilateral estimates of errors are suggested. (English)
Keyword: mechanics of solids
MSC: 73-49
idZBL: Zbl 0153.55401
idMR: MR0231575
DOI: 10.21136/AM.1967.103124
Date available: 2008-05-20T17:40:24Z
Last updated: 2020-07-28
Stable URL:
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Reference: [11] I. Hlaváček: Derivation of nonclassical variational principles in the theory of elasticity.Aplikace matematiky 12 (1967), 1, 15 - 29. MR 0214324
Reference: [12] J. Nečas I. Hlaváček: On inequalities of Korn's type. I. General theory. II. Applications in elasticity.To appear in Arch. Ratl. Mech. Anal.


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