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Titlebook: Mathematical Methods for Elastic Plates; Christian Constanda Book 2014 Springer-Verlag London 2014 Boundary Integral Equation Methods.Comp

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發(fā)表于 2025-3-21 16:48:34 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematical Methods for Elastic Plates
編輯Christian Constanda
視頻videohttp://file.papertrans.cn/627/626233/626233.mp4
概述Provides a rigorous mathematical analysis of the model of bending of plates with transverse shear deformation.Illustrates the boundary integral equation method through a specific application.Construct
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Mathematical Methods for Elastic Plates;  Christian Constanda Book 2014 Springer-Verlag London 2014 Boundary Integral Equation Methods.Comp
描述.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 (H?lder continuous and H?lder 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. T
出版日期Book 2014
關鍵詞Boundary Integral Equation Methods; Complex Potentials; Elastic Plates; Generalized Fourier Series; Laye
版次1
doihttps://doi.org/10.1007/978-1-4471-6434-0
isbn_softcover978-1-4471-7265-9
isbn_ebook978-1-4471-6434-0Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag London 2014
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發(fā)表于 2025-3-21 21:17:14 | 只看該作者
Book 2014stem 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. T
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Potentials and Boundary Integral Equations,In what follows, we examine the H?lder continuity and H?lder continuous differentiability on . and . of functions that are analytic in . and . Hence, it suffices to consider the behavior of such functions in the boundary strip ..
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Bending of Elastic Plates,We consider the averaging operators . and . defined by
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