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Titlebook: Variational Principles of Continuum Mechanics; II. Applications Victor Berdichevsky Book 2009 Springer-Verlag Berlin Heidelberg 2009 Elasti

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發(fā)表于 2025-3-21 18:39:32 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Variational Principles of Continuum Mechanics
副標(biāo)題II. Applications
編輯Victor Berdichevsky
視頻videohttp://file.papertrans.cn/981/980610/980610.mp4
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
叢書名稱Interaction of Mechanics and Mathematics
圖書封面Titlebook: Variational Principles of Continuum Mechanics; II. Applications Victor Berdichevsky Book 2009 Springer-Verlag Berlin Heidelberg 2009 Elasti
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
關(guān)鍵詞Elastic Body; Fluids; Variational Principles; continuum mechanics; development; mechanics; microstructure;
版次1
doihttps://doi.org/10.1007/978-3-540-88469-9
isbn_softcover978-3-540-88468-2
isbn_ebook978-3-540-88469-9Series ISSN 1860-6245 Series E-ISSN 1860-6253
issn_series 1860-6245
copyrightSpringer-Verlag Berlin Heidelberg 2009
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Variational Principles of Continuum Mechanics978-3-540-88469-9Series ISSN 1860-6245 Series E-ISSN 1860-6253
板凳
發(fā)表于 2025-3-22 02:30:31 | 只看該作者
Elastic Beams. Consider a space curve, . in three-dimensional space and a region, . which is formed by motion of a flat figure, ., along .; at every point, . is orthogonal to . (Fig. 15.1). Denote the diameter of . (the maximum distance between two points of .) by ., the length of . by .. and the minimum curvature-torsion radius of . by ..
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發(fā)表于 2025-3-22 06:47:48 | 只看該作者
Some Stochastic Variational ProblemsStochastic variational problems appear in many branches of physics and mechanics. This chapter gives a brief overview of the features caused by the variational nature of the problems.
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Homogenization of Random Structures: a Closer ViewAs we have seen in Sect. 17.4, the averaged Lagrangian and the local fields in random structures are determined by Kozlov’s cell problem (17.97)
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https://doi.org/10.1007/978-3-540-88469-9Elastic Body; Fluids; Variational Principles; continuum mechanics; development; mechanics; microstructure;
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Book 2009 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
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