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Mathematics and Its Applications Ser.: The Theory of Anisotropic Elastic Plates by T. S. Vashakmadze (2010, Trade Paperback)

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The Theory of Anisotropic Elastic Plates by T.S. Vashakmadze. Author T.S. Vashakmadze. The book is divided into two parts. The first part deals with problems related to the construction of refined theories (such as those of Richhof-Love, von Karman-A. ).

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Product Information

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.

Product Identifiers

Publisher
Springer Netherlands
ISBN-10
9048152151
ISBN-13
9789048152155
eBay Product ID (ePID)
109205769

Product Key Features

Author
T. S. Vashakmadze
Publication Name
Theory of Anisotropic ELASTIC Plates
Format
Trade Paperback
Language
English
Publication Year
2010
Series
Mathematics and Its Applications Ser.
Type
Textbook
Number of Pages
Xv, 243 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
16 Oz

Additional Product Features

Series Volume Number
476
Number of Volumes
1 Vol.
Lc Classification Number
Qc120-168.85
Table of Content
Foreword. Notations. Introduction. I. Refined Theories. II. Theories with Regular Processes. III. Some Approximate Methods and Numerical Realizations. Bibliography. Index.
Copyright Date
1999
Topic
Mechanics / General, Numerical Analysis, Mechanical, Astronomy, Mathematical Analysis
Dewey Decimal
624.17765
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Technology & Engineering, Science, Mathematics

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Mathematics and Its Applications Ser.: The Theory of Anisotropic Elastic Plates by T. S. Vashakmadze (2010, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

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