书目名称 | Variational Principles of Continuum Mechanics |
副标题 | II. Applications |
编辑 | Victor Berdichevsky |
视频video | |
概述 | Concise and understandable book about variational principles of continuum mechanics presenting the classical models.Accessible to applied mathematicians, physicists and engineers who have an interest |
丛书名称 | Interaction of Mechanics and Mathematics |
图书封面 |  |
描述 | .The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems...Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given...This book, the second volume, describes how the variational approach can be applied to constructing models of continuum media, such as the theory of elastic plates; shells and beams; shallow water theory; heterogeneous mixtures; granular materials; and turbulence. It goes on to apply the variational approach to asymptotical ana |
出版日期 | Book 2009 |
关键词 | Elastic Body; Fluids; Variational Principles; continuum mechanics; development; mechanics; microstructure; |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-88469-9 |
isbn_softcover | 978-3-540-88468-2 |
isbn_ebook | 978-3-540-88469-9Series ISSN 1860-6245 Series E-ISSN 1860-6253 |
issn_series | 1860-6245 |
copyright | Springer-Verlag Berlin Heidelberg 2009 |