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＜電子ブック＞
The Theory of Anisotropic Elastic Plates / by T.S. Vashakmadze
(Mathematics and Its Applications ; 476)

版	1st ed. 1999.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	XV, 243 p : online resource
著者標目	*Vashakmadze, T.S author SpringerLink (Online service)
件　名	LCSH:Mechanics LCSH:Mathematical analysis LCSH:Numerical analysis LCSH:Mathematical models LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Classical Mechanics FREE:Analysis FREE:Numerical Analysis FREE:Mathematical Modeling and Industrial Mathematics FREE:Calculus of Variations and Optimization
一般注記	The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do­ mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re­ duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re­ strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro­ cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied HTTP:URL=https://doi.org/10.1007/978-94-017-3479-0

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