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Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering
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The Theory of Anisotropic Elastic Plates (Hardcover, 1999 ed.)
Loot Price: R3,232
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The Theory of Anisotropic Elastic Plates (Hardcover, 1999 ed.)
Series: Mathematics and Its Applications, 476
Expected to ship within 12 - 17 working days
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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.
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