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The Theory of Anisotropic Elastic Plates : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Tamaz S. Vashakmadze

The Theory of Anisotropic Elastic Plates

MATHEMATICS AND ITS APPLICATIONS (KLUWER )

Hardcover Published: 31st May 1999
ISBN: 9780792356950
Number Of Pages: 243

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The principal object of this volume is the creation of a mathematical theory of deformations for elastic anisotropic thermodynamic piezoelastic plates, beams and shells with variable thickness. 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. Fioppl, and Reissner) and their equivalent new models (depending on arbitrary control functions). These are investigated by means of a new variational principle. Methods of reduction, containing regular processes of study of spatial problems, are also studied. Topics treated include problems of solvability, error estimations, convergence of processes in Sobolev spaces and construction of effective schemes of solutions of two-dimensional boundary value problems for systems of partial differential equations. The second part considers stable projective methods, using classical orthogonal polynomials and a new class of spline-functions as coordinate systems, and their numerical realizations for a design of one- and two-dimensional boundary value problems from the first part. These efficient methods increase the possibilities of classical finite-difference, exponential-fitted, variational-discrete and alternating-direction methods.

Foreword
Notations
Introduction
Refined Theories
Theories with Regular Processes
Some Approximate Methods and Numerical Realizations
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792356950
ISBN-10: 0792356950
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 243
Published: 31st May 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 17.15 x 26.04  x 1.91
Weight (kg): 0.57