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Item Details
Title: MATHEMATICAL METHODS FOR ELASTIC PLATES
By: Christian Constanda
Format: Paperback

List price: £76.50


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1447172655
ISBN 13: 9781447172659
Publisher: SPRINGER LONDON LTD
Pub. date: 23 August, 2016
Edition: Softcover reprint of the original 1st ed. 2014
Series: Springer Monographs in Mathematics
Pages: 209
Synopsis: Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process of bending than Kirchhoff's classical one. The first method transfers the ellipticity of the governing system to the boundary, leading to singular integral equations on the contour of the domain. These equations, established on the basis of the properties of suitable layer potentials, are then solved in spaces of smooth (Holder continuous and Holder continuously differentiable) functions. The second technique rewrites the differential system in terms of complex variables and fully integrates it, expressing the solution as a combination of complex analytic potentials. The last chapter develops a generalized Fourier series method closely connected with the structure of the system, which can be used to compute approximate solutions.The numerical results generated as an illustration for the interior Dirichlet problem are accompanied by remarks regarding the efficiency and accuracy of the procedure. The presentation of the material is detailed and self-contained, making Mathematical Methods for Elastic Plates accessible to researchers and graduate students with a basic knowledge of advanced calculus.
Illustrations: 12 black & white illustrations, 3 colour illustrations, 17 black & white
Publication: UK
Imprint: Springer London Ltd
Returns: Returnable
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MATHEMATICAL METHODS FOR ELASTIC PLATES (HB)
PARTIAL DIFFERENTIAL EQUATIONS (PB)
SOLUTION TECHNIQUES FOR ELEMENTARY PARTI (HB)
SOLUTION TECHNIQUES FOR ELEMENTARY PARTIAL DIFFERENTIAL EQUATIONS
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SOLUTION TECHNIQUES FOR ELEMENTARY PARTIAL DIFFERENTIAL EQUATIONS, THIRD EDITION
SOLUTION TECHNIQUES FOR ELEMENTARY PARTIAL DIFFERENTIAL EQUATIONS, THIRD EDITION
SOLUTION TECHNIQUES FOR ELEMENTARY PARTIAL DIFFERENTIAL EQUATIONS, THIRD EDITION
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STATIONARY OSCILLATIONS OF ELASTIC PLATES (HB)
VARIATIONAL AND POTENTIAL METHODS FOR A CLASS OF LINEAR HYPERBOLIC EVOLUTIONARY PROCESSES (HB)
VARIATIONAL AND POTENTIAL METHODS IN THE THEORY OF BENDING OF PLATES WITH TRANSVERSE SHEAR DEFORMATION
VARIATIONAL AND POTENTIAL METHODS IN THE THEORY OF BENDING OF PLATES WITH TRANSVERSE SHEAR DEFORMATION (HB)

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