The Theory of Anisotropic Elastic Plates by T.S. VashakmadzeThe Theory of Anisotropic Elastic Plates by T.S. Vashakmadze

The Theory of Anisotropic Elastic Plates

byT.S. Vashakmadze

Paperback | December 9, 2010

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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. Audience: This book will be of interest to researchers and graduate students whose work involves mechanics, analysis, numerics and computation, mathematical modelling and industrial mathematics, calculus of variations, and design engineering.
Title:The Theory of Anisotropic Elastic PlatesFormat:PaperbackDimensions:258 pages, 9.25 × 6.1 × 0.04 inPublished:December 9, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048152151

ISBN - 13:9789048152155

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Table of Contents

Foreword. Notations. Introduction. I. Refined Theories. II. Theories with Regular Processes. III. Some Approximate Methods and Numerical Realizations. Bibliography. Index.