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Variational Principles of Continuum Mechanics
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2009, ISBN: 9783540884651

ID: 9783540884651

Variational Principles of Continuum Mechanics: Book: Springer-Verlag Berlin and Heidelberg GmbH & Co. K: 9783540884651: 06 Nov 2009: The Interaction of Mechanics and Mathematics (IMM) series publishes advanced textbooks and introductory scientific monographs devoted to modern research in the wide area of mechanics. The authors are distinguished specialists with international reputation in their field of expertise. The books are intended to serve as modern guides in their fields and anti. The Interaction of Mechanics and Mathematics (IMM) series publishes advanced textbooks and introductory scientific monographs devoted to modern research in the wide area of mechanics. The authors are distinguished specialists with international reputation in their field of expertise. The books are intended to serve as modern guides in their fields and anticipated to be accessible to advanced graduate students, IMM books are planned to be comprehensive reviews developed to the cutting edge of their respective field and to list the major references. 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 i. Applied Mathematics, , , , , , , , , , , ,, [PU: Springer, Berlin/Heidelberg]

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[ED: Taschenbuch], [PU: Springer-Verlag GmbH], Neuware - Concise and understandable book about variational prinmciples of continuum mechanics Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics Interesting innovative textbook for graduate students, DE, [SC: 0.00], Neuware, gewerbliches Angebot, FixedPrice, 900, [GW: 1518g], offene Rechnung (Vorkasse vorbehalten), PayPal, Banküberweisung

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Victor Berdichevsky:
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[ED: Taschenbuch], [PU: Springer-Verlag GmbH], Neuware - Concise and understandable book about variational prinmciples of continuum mechanics Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics Interesting innovative textbook for graduate students, [SC: 0.00], Neuware, gewerbliches Angebot, FixedPrice, [GW: 1518g]

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Details zum Buch
Variational Principles of Continuum Mechanics (Interaction of Mechanics and Mathematics)
Autor:

Berdichevsky, Victor

Titel:

Variational Principles of Continuum Mechanics (Interaction of Mechanics and Mathematics)

ISBN-Nummer:

I Fundamentals.- Variational Principles.- Thermodynamics.- Continuum Mechanics.- Principle of least action in continuum mechanics.- Direct methods of calculus of variations.- II Variational features of classical continuum models.- Statics of a geometrically linear elastic body.- Statics of a geometrically nonlinear elastic body.- Dynamics of elastic bodies.- Ideal incompressible fluid.- Ideal compressible fluid.- Steady motion of ideal fluid and elastic body.- Principle of least dissipation.- Motion of rigid bodies in fluids.

Detailangaben zum Buch - Variational Principles of Continuum Mechanics (Interaction of Mechanics and Mathematics)


EAN (ISBN-13): 9783540884651
ISBN (ISBN-10): 3540884653
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: Springer-Verlag GmbH
900 Seiten
Gewicht: 1,518 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 27.07.2007 18:43:45
Buch zuletzt gefunden am 13.06.2017 00:29:42
ISBN/EAN: 9783540884651

ISBN - alternative Schreibweisen:
3-540-88465-3, 978-3-540-88465-1


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