| 书目名称 | Mathematical Methods for Elastic Plates |
| 编辑 | Christian Constanda |
| 视频video | |
| 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 |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 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 (Hölder continuous and Hölder 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 |
| 关键词 | Boundary Integral Equation Methods; Complex Potentials; Elastic Plates; Generalized Fourier Series; Laye |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4471-6434-0 |
| isbn_softcover | 978-1-4471-7265-9 |
| isbn_ebook | 978-1-4471-6434-0Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag London 2014 |
发表于 2025-3-21 16:48:34
