Titlebook: Variational Principles of Continuum Mechanics; I. Fundamentals Victor Berdichevsky Book 2009 The Editor(s) (if applicable) and The Author(s

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1860-6245 vers 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 m978-3-540-88466-8978-3-540-88467-5Series ISSN 1860-6245 Series E-ISSN 1860-6253

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Variational Principlesstem from the idea that the observable events are extreme in their character and that the general principles sought are variational, i.e. they assert that certain parameters obtain their maximum or minimum values in realizable physical processes.

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Continuum Mechanicss of its counterpart in region .. We denote these coordinates by capital Latin letters .., .., .., in contrast to the coordinates of the observer’s frame, which are denoted by .., .., ... The latter are called Eulerian coordinates, while the coordinates .., .., .. are usually referred to as Lagrangian coordinates or material coordinates.

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Principle of Least Action in Continuum Mechanicspter we consider the principle of least action in continuum mechanics of reversible processes and some related issues. The variational principles for dissipative processes are presented in the second part of the book along with the other variational features of the classical continuum models.

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Principle of Least Dissipationppears again, but this is the variational structure of the non-equilibrium processes. This chapter is concerned with the corresponding variational principles. As has been mentioned in Sect. 2.6, these variational principles, in contrast to the least action principle, reflect the special features of the models used rather than the laws of Nature.

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1860-6245 ineers who have an interest in continuum mechanics.InterestiThereareabout500booksonvariationalprinciples. 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 bet