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The Theory of Anisotropic Elastic Plates (Paperback, Softcover reprint of hardcover 1st ed. 1999) Loot Price: R2,927
Discovery Miles 29 270
The Theory of Anisotropic Elastic Plates (Paperback, Softcover reprint of hardcover 1st ed. 1999): T. S. Vashakmadze

The Theory of Anisotropic Elastic Plates (Paperback, Softcover reprint of hardcover 1st ed. 1999)

T. S. Vashakmadze

Series: Mathematics and Its Applications, 476

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Loot Price R2,927 Discovery Miles 29 270 | Repayment Terms: R274 pm x 12*

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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."

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 476
Release date: December 2010
First published: 1999
Authors: T. S. Vashakmadze
Dimensions: 235 x 155 x 13mm (L x W x T)
Format: Paperback
Pages: 243
Edition: Softcover reprint of hardcover 1st ed. 1999
ISBN-13: 978-90-481-5215-5
Categories: Books > Computing & IT > General theory of computing > Mathematical theory of computation
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
Books > Science & Mathematics > Physics > Classical mechanics > General
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LSN: 90-481-5215-1
Barcode: 9789048152155

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