Principles Of Continuum Mechanics
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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.
Hamilton S Principle In Continuum Mechanics
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Author : Anthony Bedford
language : en
Publisher: Springer Nature
Release Date : 2021-12-14
Hamilton S Principle In Continuum Mechanics written by Anthony Bedford and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Science categories.
This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
Principles Of Continuum Mechanics
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Author : J. N. Reddy
language : en
Publisher:
Release Date : 2010
Principles Of Continuum Mechanics written by J. N. Reddy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Continuum mechanics categories.
This textbook presents the mechanics of materials, fluids, and heat transfer using the conservation principles of mechanics.
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.
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 Mathematics categories.
This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.
Continuum Mechanics
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Author : D. S. Chandrasekharaiah
language : en
Publisher: Elsevier
Release Date : 2014-05-19
Continuum Mechanics written by D. S. Chandrasekharaiah and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Mathematics categories.
A detailed and self-contained text written for beginners, Continuum Mechanics offers concise coverage of the basic concepts, general principles, and applications of continuum mechanics. Without sacrificing rigor, the clear and simple mathematical derivations are made accessible to a large number of students with little or no previous background in solid or fluid mechanics. With the inclusion of more than 250 fully worked-out examples and 500 worked exercises, this book is certain to become a standard introductory text for students as well as an indispensable reference for professionals. - Provides a clear and self-contained treatment of vectors, matrices, and tensors specifically tailored to the needs of continuum mechanics - Develops the concepts and principles common to all areas in solid and fluid mechanics with a common notation and terminology - Covers the fundamentals of elasticity theory and fluid mechanics
Continuum Mechanics
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Author : Fridtjov Irgens
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-10
Continuum Mechanics written by Fridtjov Irgens 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 2008-01-10 with Science categories.
This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.
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.
Continuum Mechanics And Theory Of Materials
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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Continuum Mechanics And Theory Of Materials written by Peter Haupt 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 2013-03-14 with Technology & Engineering categories.
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
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.
In this book the basic principles of continuum mechanics and thermodynam ics are treated in the tradition of the rational framework established in the 1960s, typically in the fundamental memoir "The Non-Linear Field Theories of Mechanics" by Truesdell and Noll. The theoretical aspect of constitutive theories for materials in general has been carefully developed in mathemati cal clarity - from general kinematics, balance equations, material objectivity, and isotropic representations to the framework of rational thermodynamics based on the entropy principle. However, I make no claim that the subjects are covered completely, nor does this book cover solutions and examples that can usually be found in textbooks of fluid mechanics and linear elasticity. However, some of the interesting examples of finite deformations in elastic materials, such as biaxial stretching of an elastic membrane and inflation of a rubber balloon, are discussed. In the last two chapters of the book, some recent developments in ther modynamic theories are considered. Specifically, they emphasize the use of Lagrange multipliers, which enables the exploitation of the entropy principle in a systematic manner for constitutive equations, and introduce some basic notions of extended thermodynamics. Although extended thermodynamics is closely related to the kinetic theory of ideal gases, very limited knowledge of kinetic theory is needed.