书目名称 | Lecture Notes on the Theory of Plates and Shells |
副标题 | Classical and Modern |
编辑 | David J. Steigmann,Mircea Bîrsan,Milad Shirani |
视频video | |
概述 | Presents the theory of plates and shells on the basis of the three-dimensional parent theory.Covers the Saint-Venant Problem for general cylindrical shells.Provides an extensive exposition of the diff |
丛书名称 | Solid Mechanics and Its Applications |
图书封面 |  |
描述 | .This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ‘dimension reduction’ by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff–Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, suchconditions, when appropriate, are here derived rather than postulated. . |
出版日期 | Textbook 2023 |
关键词 | Linearly elastic shells; Theory of plates; Thin plates and shells; Nonlinear shell models; Derivation of |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-25674-5 |
isbn_softcover | 978-3-031-25676-9 |
isbn_ebook | 978-3-031-25674-5Series ISSN 0925-0042 Series E-ISSN 2214-7764 |
issn_series | 0925-0042 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |