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# ðŸ“™ Variational Principles of Continuum Mechanics: I. Fundamentals by Victor Berdichevsky (auth.) â€” epub download

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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.

Berdichevskyâ€™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.

In this book, the first volume, the author covers the variational principles for systems with a finite number of degrees of freedom; the variational principles of thermodynamics; the basics of continuum mechanics; the variational principles for classical models of continuum mechanics, such as elastic and plastic bodies, and ideal and viscous fluids; and direct methods of calculus of variations.

- Series:
**Interaction of Mechanics and Mathematics** - Author:
**Victor Berdichevsky (auth.)** - Year:
**2009** - Publisher:
**Springer-Verlag Berlin Heidelberg** - Language:
**English** - ISBN:
**9783540884668,3540884661**

- File size:
**4 176 527** - Format:
**pdf**

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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.Berdichevskyâ€™s work differs from other books...

This book is the first to present an overview of higher-order Hamilton geometry with applications to higher-order Hamiltonian mechanics. It is a direct continuation of the book The Geometry of Hamilton and Lagrange Spaces, (Kluwer Academic Publishers, ...

This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics gives an overv...

The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics â€“ kinematics, fundamental laws, the theory of functions having jump discontinuities across singular ...

Devoted to the classical continuum theory of solids and fluids as well as selected topics of modern continuum mechanics of viscoelasticity and microcontinua together with their applications to problems of practical interest. Highlights the derivation of c...

The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics â€“ kinematics, fundamental laws, the theory of functions having jump discontinuities across singular ...

This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducin...

Fundamentals of Continuum Mechanics of Soils provides a long-needed general scheme for the study of the important yet problematic material of soil. It closes the gap between two disciplines, soil mechanics and con- tinuum mechanics, showing that the famil...

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculu...

Research has already been a significant factor in child welfare policy in recent years, but this essential new volume demonstrates that it has taken a leading role in the field to spur and guide change. In the incisive chapters gathered here, some of the ...

This book is a study of the Japanese employment system and how it is changing in response to the economic slowdown of the last decade and the aging of the Japanese population. It focusses on the growth of atypical employment relations and the greater indi...

Explains the concepts and use of univariate Box-Jenkins/ARIMA analysis and forecasting through 15 case studies. Cases show how to build good ARIMA models in a step-by-step manner using real data. Also includes examples of model misspecification. Provides ...

Features pieces from leading figures in the field such as John Saunders, Evert Gummesson and Dale Littler. A number of the UK authors are key people with regard to the UK Academy of Marketing. Looks at positive and negative aspects of the current ...

As mankind finds ever more impious ways to kill and maim, some look to non-lethal weapons as a fix. Brian Rappert discusses the technologies involved and the ethics of, for example blinding someone with a laser, leaving them blind forever, versus killing ...

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Interactive systems are growing in the last decade because of the amount of fields in which this kind of application can be used as a test bed to experiment in medicine, training, education, and so on. Developing Future Interactive Systems is a complila...

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This study of greenhouse gas emissions examines the causes and effects of climate changes triggered by human activities. It is the first major, comparative study of how the emissions vary nationally--at the local level and on a daily basis. The authors as...