Victor Berdichevsky's Books

Variational Principles of Continuum Mechanics

II. Applications

By: Victor Berdichevsky

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Variational Principles of Continuum Mechanics

II. Applications

By: Victor Berdichevsky

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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Page Count

433

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540884696

ISBN 13

9783540884699

International Frontiers and Boundaries

Law, Politics and Geography

By: Victor Prescott,Gillian D. Triggs

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International Frontiers and Boundaries

Law, Politics and Geography

By: Victor Prescott,Gillian D. Triggs

International frontiers and boundaries separate land, rivers and lakes subject to different sovereignties. Frontiers are zones of varying widths and they were common many centuries ago. By 1900 frontiers had almost disappeared and had been replaced by boundaries that are lines. The divisive nature of frontiers and boundaries has formed the focus of inter-disciplinary studies by economists, geographers, historians, lawyers and political scientists. Scholars from these disciplines have produced a rich literature dealing with frontiers and boundaries. The authors surveyed this extensive literature and the introduction reveals the themes which have attracted most attention. Following the introduction the book falls into three sections. The first section deals systematically with frontiers, boundary evolution and boundary disputes. The second section considers aspects of international law related to boundaries. It includes chapters dealing with international law and territorial boundaries, maps as evidence of international boundaries and river boundaries and international law. The third section consists of seven regional chapters that examine the evolution of boundaries in the Americas, the Middle East, Africa, Asia, Europe, islands off Southeast Asia and Antarctica.

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Page Count

516

Publisher

BRILL

Published Date

ISBN 10

9047433645

ISBN 13

9789047433644

Foundations of Micropolar Mechanics

By: Victor A. Eremeyev,Leonid P. Lebedev,Holm Altenbach

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Foundations of Micropolar Mechanics

By: Victor A. Eremeyev,Leonid P. Lebedev,Holm Altenbach

The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

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Page Count

145

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642283535

ISBN 13

9783642283536

1000 Checkmate Combinations

By: Victor Henkin

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1000 Checkmate Combinations

By: Victor Henkin

This truly outstanding book, first published in Russian in the 1970s and regarded as a classic, contains everything you need to know about how to deliver checkmate. 1000 Checkmate Combinations contains a wealth of elegant and sophisticated chess tactics as well as systematic and effective instruction. Each chapter covers a different piece or combination of pieces that is able to deliver checkmate, and provides illustrative templates for just about every mating formation. By working through the book, readers will develop their ability to recognise the potential for checkmate, as well as the know-how to execute one. Clearly written and beautifully organised, it will appeal to all chess players but particularly club players.

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Page Count

624

Publisher

Batsford Books

Published Date

ISBN 10

1849940959

ISBN 13

9781849940955

Variational Principles of Continuum Mechanics

I. Fundamentals

By: Victor Berdichevsky

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Variational Principles of Continuum Mechanics

I. Fundamentals

By: Victor Berdichevsky

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 microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.

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Page Count

590

Publisher

Springer Science & Business Media

Published Date

ISBN 10

354088467X

ISBN 13

9783540884675

Variational Principles of Continuum Mechanics

II. Applications

By: Victor Berdichevsky

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Variational Principles of Continuum Mechanics

II. Applications

By: Victor Berdichevsky

Average ratings

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Solve jigsaw puzzle

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Page Count

433

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540884696

ISBN 13

9783540884699

Book's by Victor Berdichevsky

Variational Principles of Continuum Mechanics

Variational Principles of Continuum Mechanics

International Frontiers and Boundaries

International Frontiers and Boundaries

Foundations of Micropolar Mechanics

Foundations of Micropolar Mechanics

1000 Checkmate Combinations

1000 Checkmate Combinations

Variational Principles of Continuum Mechanics

Variational Principles of Continuum Mechanics

Variational Principles of Continuum Mechanics

Variational Principles of Continuum Mechanics

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