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Thursday, May 14, 2020 | History

6 edition of Nonlinear Elasticity and Theoretical Mechanics found in the catalog.

Nonlinear Elasticity and Theoretical Mechanics

In Honour of A. E. Green

  • 4 Want to read
  • 21 Currently reading

Published by Oxford University Press, USA .
Written in English


Edition Notes

ContributionsP. M. Naghdi (Editor), A. J. M. Spencer (Editor), A. H. England (Editor)
The Physical Object
Number of Pages286
ID Numbers
Open LibraryOL7400659M
ISBN 100198534868
ISBN 109780198534860

List of books in category "Mechanics: Theory of Elasticity" 1. Elasticity. Theory, Applications, and Numerics. Academic Press. Martin H. Sadd (Auth.) Year: A Primer to the Theoretical Mechanics of Materials. Birkhäuser Basel. Alan D. Freed (auth.) Year: Language: A search query can be a title of the book, a name of the author. Description: This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum.

Navier, special case of linear elasticity via molecular model (Dalton’s atomic theory was ) Cauchy, stress, nonlinear and linear elasticity For a long time the nonlinear theory was ignored/forgotten. A.E.H. Love, Treatise on linear elasticity 's R. Rivlin, Exact solutions in incompressible nonlinear elasticity (rubber). The book starts with a great review by Ogden on principles of nonlinear elasticity, but ends with some paper-like materials which should have been organized in the form of a book. Categories: Physics\\Mechanics: Theory of Elasticity.

7 Thermodynamics and solution methods for coupled problems; Thermodynamics of reversible processes; Thermodynamical coupling in ID elasticity; Thermodynamics coupling in 3D elasticity and constitutive relations; Initial-boundary value problem in thermoelasticity and operator split solution method; Weak form of initial. In physics, elasticity (from Greek ἐλαστός "ductible") is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Solid objects will deform when adequate forces are applied to them. If the material is elastic, the object will return to its initial shape and size when these forces are removed.


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Nonlinear Elasticity and Theoretical Mechanics Download PDF EPUB FB2

Perfect for students and researchers alike, Nonlinear Elasticity and Theoretical Mechanics is a superb tribute to the work of one of England's great scientists.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or Format: Hardcover.

The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems.

Each chapter contains a wealth of interesting, challenging, and tractable exercises. Reviews of. "The book succeeds at a variety of levels, and will be a useful resource " SIAM Review "This beautiful volume, printed with the usual high standards of Cambridge University Press in the Lecture Notes Series of the London Mathematical Society, is a happy addition to the available roster of books on nonlinear continuum mechanics.4/4(1).

Nonlinear Elasticity presents a description of research and result on various nonlinear problems arising in elasticity. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity.

Organized into 11 chapters, this book begins with an Book Edition: 1. The pioneering and wide-ranging research of A. Green--one of the outstanding British researchers in theoretical and applied mechanics--is the subject of this important new volume.

Featuring sixteen up-to-date research papers written by his eminent colleagues and friends, the book covers a variety of topics from thermodynamics to problems associated with crystals; linear, nonlinear and fibre. This book, written by a group of leading researchers invited especially for the purpose, provides an up-to-date and concise account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of several major current research directions in this important field.

For many years, a standard treatise on elasticity has been the book by Love (). Another standard text on linear elasticity has been prepared by Timoshenko and Goodier (), which first appeared in Among other books on nonlinear elasticity, we mention those Cited by:   Nonlinear elasticity is concerned with nonlinear effects associated with deformations of elastic bodies subjected to external forces or temperature variations.

It has important applications in many areas, including the aerospace and rubber industries, and biomechanics. This book, written by a group of leading researchers invited especially for the purpose, provides an up-to-date and concise.

Deformation in continuum mechanics is the transformation of a body from a reference configuration to a current configuration. A configuration is a set containing the positions of all particles of the body. A deformation may be caused by external loads, body forces (such as gravity or electromagnetic forces), or changes in temperature, moisture content, or chemical reactions, etc.

ISBN: OCLC Number: Description: xxi, pages: illustrations ; 25 cm: Contents: Publications of A.E. Green --Quasistatic cycles in dynamic linear thermoelasticity / W.A. Day --The second-order deformation of an incompressible isotropic slab under torsion / K.A.

Lindsay --Reversible and non-dissipative processes / J.L. Ericksen --Convexity considerations. The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems.

Each chapter contains a wealth of interesting, challenging, and tractable exercises. System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours.

For online purchase, please visit us again. In their prior Dover book, Theoretical Mechanics of Particles and Continua, the authors provided a self-contained account of classical supplement and update offers a bridge to contemporary mechanics. The original book's focus on continuum mechanics forms the basis for this discussion of nonlinear continuous systems.

edition/5(7). Modeling the mechanical behavior of rubber like materials within the framework of nonlinear elasticity theory was the subject of a lot of studies, which could be found in the review articles. The kinematics, balance laws, and constitutive theory are examined and utilized to develop the nonlinear theory of micropolar elasticity through a function basis.

Perfect for students and researchers alike, Nonlinear Elasticity and Theoretical Mechanics is a superb tribute to the work of one of England's great scientists. Nonlinear Elasticity and Theoretical Mechanics: In Honour of A.

Green (Hardcover). Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on SeptemberFoundations of the Nonlinear Theory of Elasticity by Novozhilov, V.

and a great selection of related books, art and collectibles available now at He is a member of the Russian Acoustical Society and the Russian National Committee on Theoretical and Applied Mechanics. Prof. hab. Alexey V. Porubov is a member of Euromech, the Russian Acoustical Society and the International Research Center on Mathematics and Mechanics of Complex Systems (M&MoCS), Italy.

Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material H.-H. Dai; Strain-energy functions with multiple local minima: modeling phase transformations using finite thermo-elasticity R.

Abeyaratne, K. Bhattacharya and J. Knowles; Pseudo-elasticity and stress softening R. Price: $. Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today.

Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid 5/5(1).Nonetheless, the book will also prove useful for those mostly interested in linear problems of mechanics, since the sure way to obtain a sound theoretical formulation of a linear problem goes through the consistent linearization of the more general nonlinear : $  This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid.

Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic Edition: 1.