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Victor Berdichevsky, "Variational Principles of Continuum Mechanics: II. Applications (Interaction of Mechanics and Mathematics)"

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 analysis of problems with small parameters, such as the derivation of the theory of elastic plates, shells and beams from three-dimensional elasticity theory; and the basics of homogenization theory. A theory of stochastic variational problems is considered in detail too, along with applications to the homogenization of continua with random microstructures.

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	Science/Engineering Variational Principles of Continuum Mechanics: I. Fundamentals Victor Berdichevsky, "Variational Principles of Continuum Mechanics: I. Fundamentals" Springer \| 2009 \| ISBN: 3540884661 \| 586 pages \| PDF \| 3,1 MB The book reviews the two features of the variational approach: its use as a universal tool ...
	Technical Variational Principles of Continuum Mechanics: II. Applications (repost) Variational Principles of Continuum Mechanics: II. ApplicationsSpringer \| 2009 \| ISBN: 3540884688 \| 430 pages \| PDF \| 2,3 MB The book reviews the two features of the variational approach: its use as a universal tool to describe physical phe ...
	Technical Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano G.C. Sih, "Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano"Springer; 1 edition (October 11, 2006) \| ISBN: 1402050615 \| 478 pages \| PDF \| 29,8 MbThe recent trend of miniaturization of devi ...
	Science/Engineering IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials (Solid Mechanics and its Applications, Volume 87) Author: Publisher: Springer (2001)Binding: Hardcover, 448 pagespricer: $229.00ISBN-10: 0792367669editorialreviewsThis volume presents the Proceedings of the IUTAM Symposium on 'Theoretical and Numerical Methods in Continuum Mechanics of Po ...
	Science/Engineering Continuum Mechanics and Plasticity (Crc Series--Modern Mechanics and Mathematics) Author: Han-Chin WuPublisher: Chapman & Hall/CRC (2004)Binding: Hardcover, 704 pagespricer: $134.95ISBN-10: 1584883634editorialreviewsTremendous advances in computer technologies and methods have precipitated a great demand for refineme ...
	Audiobooks & Video Training Variational Principles of Continuum Mechanics with Engineering Applications: Volume 1: Critical Points Theory V. Komkov, "Variational Principles of Continuum Mechanics with Engineering Applications: Volume 1: Critical Points Theory" Springer \| 1986 \| ISBN: 9027721572 \| 400 pages \| PDF \| 5,4 MB CONTENTSIntroduction 1Chapter 1 Energy Methods, Cla ...

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	Science/Engineering Variational Principles of Continuum Mechanics: I. Fundamentals Victor Berdichevsky, "Variational Principles of Continuum Mechanics: I. Fundamentals" Springer \| 2009 \| ISBN: 3540884661 \| 586 pages \| PDF \| 3,1 MB The book reviews the two features of the variational approach: its use as a universal tool ...
	Technical Variational Principles of Continuum Mechanics: II. Applications (repost) Variational Principles of Continuum Mechanics: II. ApplicationsSpringer \| 2009 \| ISBN: 3540884688 \| 430 pages \| PDF \| 2,3 MB The book reviews the two features of the variational approach: its use as a universal tool to describe physical phe ...
	Technical Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano G.C. Sih, "Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano"Springer; 1 edition (October 11, 2006) \| ISBN: 1402050615 \| 478 pages \| PDF \| 29,8 MbThe recent trend of miniaturization of devi ...
	Science/Engineering IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials (Solid Mechanics and its Applications, Volume 87) Author: Publisher: Springer (2001)Binding: Hardcover, 448 pagespricer: $229.00ISBN-10: 0792367669editorialreviewsThis volume presents the Proceedings of the IUTAM Symposium on 'Theoretical and Numerical Methods in Continuum Mechanics of Po ...
	Science/Engineering Continuum Mechanics and Plasticity (Crc Series--Modern Mechanics and Mathematics) Author: Han-Chin WuPublisher: Chapman & Hall/CRC (2004)Binding: Hardcover, 704 pagespricer: $134.95ISBN-10: 1584883634editorialreviewsTremendous advances in computer technologies and methods have precipitated a great demand for refineme ...
	Audiobooks & Video Training Variational Principles of Continuum Mechanics with Engineering Applications: Volume 1: Critical Points Theory V. Komkov, "Variational Principles of Continuum Mechanics with Engineering Applications: Volume 1: Critical Points Theory" Springer \| 1986 \| ISBN: 9027721572 \| 400 pages \| PDF \| 5,4 MB CONTENTSIntroduction 1Chapter 1 Energy Methods, Cla ...

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