Nonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics
Author: Shaofan Li
Publsiher: Academic Press
Total Pages: 0
Release: 2029-01-15
Genre: Technology & Engineering
ISBN: 0128115424

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Nonlinear Continuum Mechanics and Physics provides a differential geometry approach to nonlinear continuum mechanics that will appeal to both engineers and material scientists. It includes heuristic and rigorous expositions of crucial concepts like finite deformation compatibility conditions, the Lie-derivative, frame-indifference and material symmetry principles. With exercises at the end of each chapter to emphasize concepts, readers will be able to further understand the latest techniques and research. This book is designed to support postgraduates and researchers in the areas of mechanical engineering, nano-mechanics, biomechanics and computational mechanics. Systematically uses a differential geometric approach Provides new developments in convex analysis and variational calculus in finite deformation Investigates applications in biomechanics and soft matter mechanics Explains the atomistic interpretation of stress

Nonlinear Continuum Mechanics

Nonlinear Continuum Mechanics
Author: Donald Charles Leigh
Publsiher: Unknown
Total Pages: 264
Release: 1968
Genre: Continuum mechanics
ISBN: STANFORD:36105030101146

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Non linear Continuum Theories in Mechanics and Physics and their Applications

Non linear Continuum Theories in Mechanics and Physics and their Applications
Author: R. S. Rivlin
Publsiher: Springer Science & Business Media
Total Pages: 356
Release: 2011-06-07
Genre: Mathematics
ISBN: 9783642110900

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P.A. Blythe: Non-linear far-field theories in relaxing gas flows.- Meixner: Thermodynamics of deformable materials.- A.C. Pipkin: Non-linear phenomena in continua.- R.S. Rivlin: An introduction to non-linear continuum mechanics.- G.F. Smith: The generation of integrity bases.

Nonlinear Continuum Mechanics and Large Inelastic Deformations

Nonlinear Continuum Mechanics and Large Inelastic Deformations
Author: Yuriy I. Dimitrienko
Publsiher: Springer Science & Business Media
Total Pages: 742
Release: 2010-12-25
Genre: Science
ISBN: 9789400700345

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The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
Author: Gerhard A. Holzapfel
Publsiher: Unknown
Total Pages: 482
Release: 2000-04-06
Genre: Mathematics
ISBN: STANFORD:36105028490071

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Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.

Nonlinear Continuum Mechanics of Solids

Nonlinear Continuum Mechanics of Solids
Author: Yavuz Basar,Dieter Weichert
Publsiher: Springer Science & Business Media
Total Pages: 201
Release: 2013-11-11
Genre: Science
ISBN: 9783662042991

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The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.

Nonlinear Continuum Mechanics

Nonlinear Continuum Mechanics
Author: Donald Charles Leigh
Publsiher: Unknown
Total Pages: 262
Release: 1968
Genre: Continuum mechanics
ISBN: UOM:39015058912810

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Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis
Author: Javier Bonet,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 272
Release: 1997-09-28
Genre: Mathematics
ISBN: 052157272X

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A unified treatment of nonlinear continuum analysis and finite element techniques.