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Principles Of Continuum Mechanics

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Principles Of Continuum Mechanics

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Author : Mysore N. L. Narasimhan
language : en
Publisher: Wiley-Interscience
Release Date : 1993

Principles Of Continuum Mechanics written by Mysore N. L. Narasimhan and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

Continuum mechanics is the mathematical study of material behavior as well as the principles governing this behavior where the basic constituents of the material are regarded as continua rather than as molecules, atoms, or grains. From this perspective one sees that the basic constituents are assumed to possess a continuous distribution of matter and the material as a whole is composed of such elements. Principles of Continuum Mechanics deals with the behavior of materials and their qualitative and quantitative treatment by means of a continuum approach in which materials are regarded as possessing a continuous distribution of matter. The book is ideally suited for use by first- or second-year graduate students. The book is also written for the benefit of researchers in engineering mechanics, applied mathematics, atmospheric science, oceanography, and for those in the biomedical sciences. This book is devoted to the classical continuum theory of solids and fluids as well as to certain topics of modern continuum mechanics of viscoelasticity and microcontinua together with their applications to problems of practical interest. Complete mathematical derivations of most of the fundamental equations and inequalities in continuum mechanics are included, thereby freeing the reader from having to go to other sources to find these derivations. The book contains an extensive bibliography which will be most useful for students and researchers wishing to pursue problems engendered by the text. And a Solutions Manual is available upon request to the Publisher. All in all, Principles of Continuum Mechanics should reach a wide audience of scientists, engineers, and mathematicians. Itseasy-to-understand style and the simple elegance of the work it presents make it a valuable addition to the literature in the field.

Principles Of Continuum Mechanics

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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-16

Principles Of Continuum Mechanics written by J. N. Reddy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with Science categories.

This senior undergraduate and first-year graduate text provides a concise treatment of the subject of continuum mechanics and elasticity.

Principles Of Continuum Mechanics

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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-28

As most modern technologies are no longer discipline-specific but involve multidisciplinary approaches, undergraduate engineering students should be introduced to the principles of mechanics so that they have a strong background in the basic principles common to all disciplines and are able to work at the interface of science and engineering disciplines. This textbook is designed for a first course on principles of mechanics and provides an introduction to the basic concepts of stress and strain and conservation principles. It prepares engineer-scientists for advanced courses in traditional as well as emerging fields such as biotechnology, nanotechnology, energy systems, and computational mechanics. This simple book presents the subjects of mechanics of materials, fluid mechanics, and heat transfer in a unified form using the conservation principles of mechanics.

The Principles Of Continuum Mechanics

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Author : Clifford Truesdell
language : en
Publisher:
Release Date : 1961

The Principles Of Continuum Mechanics written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Continuum mechanics categories.

Variational Principles Of Continuum Mechanics

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Author : Victor Berdichevsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-18

Variational Principles Of Continuum Mechanics written by Victor Berdichevsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-18 with Science categories.

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.

Principles Of Continuum Mechanics

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Author : Zdeněk Martinec
language : en
Publisher: Springer
Release Date : 2019-05-31

Principles Of Continuum Mechanics written by Zdeněk Martinec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Mathematics categories.

This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them.

An Introduction To Continuum Mechanics

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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-29

An Introduction To Continuum Mechanics written by J. N. Reddy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-29 with Science categories.

This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercise problems. This second edition includes additional explanations, examples and problems.

Continuum Mechanics

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Author : I-Shih Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Continuum Mechanics written by I-Shih Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

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 introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

Variational Principles Of Continuum Mechanics

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Author : Victor Berdichevsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-18

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.

Hamilton S Principle In Continuum Mechanics

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Author : A. Bedford
language : en
Publisher:
Release Date : 1985

Hamilton S Principle In Continuum Mechanics written by A. Bedford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Continuum mechanics categories.

Principles Of Continuum Mechanics

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