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Christian Constanda - Mathematical Methods for Elastic Plates - 9781447172659 - V9781447172659
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Mathematical Methods for Elastic Plates

€ 63.28
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Description for Mathematical Methods for Elastic Plates Paperback. Series: Springer Monographs in Mathematics. Num Pages: 219 pages, 12 black & white illustrations, 3 colour illustrations, 17 black & white tables, biograph. BIC Classification: PBK; PBKL; TG. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 12. Weight in Grams: 343.

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 ... Read more

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.

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Product Details

Format
Paperback
Publication date
2016
Publisher
Springer London Ltd United Kingdom
Number of pages
219
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
209
Place of Publication
England, United Kingdom
ISBN
9781447172659
SKU
V9781447172659
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Christian Constanda
Christian Constanda, BS, PhD, DSc, is the Charles W. Oliphant Professor of Mathematical Sciences at the University of Tulsa, USA, Emeritus Professor of Mathematics at the University of Strathclyde, UK, and Chairman of the International Consortium on Integral Methods in Science and Engineering. He has authored, edited, and translated 25 mathematical books and has published over 135 research papers in ... Read more

Reviews for Mathematical Methods for Elastic Plates
From the book reviews: “This is a nice short and self-contained book on mathematical methods in the linear theory of plates. … The book is strongly recommended to those who are interested in mathematical problems of elasticity and applications of the theory of potentials in mathematical physics.” (Leonid P. Lebedev, zbMATH, Vol. 1301, 2015)

Goodreads reviews for Mathematical Methods for Elastic Plates


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