书目名称 | Variational Principles of Continuum Mechanics |
副标题 | I. Fundamentals |
编辑 | Victor Berdichevsky |
视频video | |
概述 | Concise and understandable book about variational principles of continuum mechanics.Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics.Interesti |
丛书名称 | Interaction of Mechanics and Mathematics |
图书封面 |  |
描述 | Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of m |
出版日期 | Book 2009 |
关键词 | Calculus of Variations; Degrees of freedom; Dissipation; Entropy; Variational Principles; calculus; contin |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-88467-5 |
isbn_softcover | 978-3-540-88466-8 |
isbn_ebook | 978-3-540-88467-5Series ISSN 1860-6245 Series E-ISSN 1860-6253 |
issn_series | 1860-6245 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE |