{"product_id":"mathematical-methods-for-elastic-plates-hardcover","title":"Mathematical Methods for Elastic Plates - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eChristian Constanda\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eMathematical 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.\u003c\/p\u003e\u003cp\u003eThe 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 (Hölder continuous and Hölder continuously differentiable) functions.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eThe presentation of the material is detailed and self-contained, making \u003ci\u003eMathematical Methods for Elastic Plates\u003c\/i\u003e accessible to researchers and graduate students with a basic knowledge of advanced calculus.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eMathematical 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe 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 (Hölder continuous and Hölder continuously differentiable) functions. \u003cp\u003e\u003c\/p\u003eThe 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. \u003cp\u003e\u003c\/p\u003eThe 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. \u003cp\u003e\u003c\/p\u003eThe presentation of the material is detailed and self-contained, making \u003ci\u003eMathematical Methods for Elastic Plates\u003c\/i\u003e accessible to researchers and graduate students with a basic knowledge of advanced calculus.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eChristian 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 scholarly journals.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 209\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.56 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 10, 2014\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53344421904691,"sku":"9781447164333","price":96.08,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/WES-7Fo9bq9781447164333.webp?v=1778725536","url":"https:\/\/www.vysn.com\/en-ca\/products\/mathematical-methods-for-elastic-plates-hardcover","provider":"VYSN","version":"1.0","type":"link"}