Nonlinear Theory Of Elasticity: Applications In Biomechanics (Revised Edition)

Nonlinear Theory Of Elasticity: Applications In Biomechanics (Revised Edition)

Author: Larry A Taber

Publisher: World Scientific

Published: 2023-03-10

Total Pages: 471

ISBN-13: 9811270538

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Soft biological tissues often undergo large (nearly) elastic deformations that can be modeled using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate.This volume clarifies and unifies those treatments, illustrating the advantages and disadvantages of each through various examples in biomechanics. Applications include muscle, arteries, the heart, and embryonic tissues.The revised edition includes new end-of-chapter problems, including answers and detailed solutions to most. The useful reference can be a good textbook for self-study, as well as senior- and graduate-level courses in biomechanics and nonlinear elasticity.


Nonlinear Theory of Elasticity

Nonlinear Theory of Elasticity

Author: Larry Alan Taber

Publisher: World Scientific

Published: 2004

Total Pages: 417

ISBN-13: 9812387358

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Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.


Foundations of the Nonlinear Theory of Elasticity

Foundations of the Nonlinear Theory of Elasticity

Author: V. V. Novozhilov

Publisher: Courier Corporation

Published: 1999-01-01

Total Pages: 260

ISBN-13: 9780486406848

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This is an essential book for students and academicians alike. In addition to discussing theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain, and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition.


Nonlinear Theory Of Elasticity: Applications In Biomechanics

Nonlinear Theory Of Elasticity: Applications In Biomechanics

Author: Larry A Taber

Publisher: World Scientific

Published: 2004-02-19

Total Pages: 417

ISBN-13: 9814483397

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Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.


Nonlinear Elasticity

Nonlinear Elasticity

Author: Y. B. Fu

Publisher: Cambridge University Press

Published: 2001-05-07

Total Pages: 541

ISBN-13: 0521796954

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Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.


Nonlinear Problems of Elasticity

Nonlinear Problems of Elasticity

Author: Stuart Antman

Publisher: Springer Science & Business Media

Published: 2005-11-24

Total Pages: 845

ISBN-13: 0387276491

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Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and applications of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticity , general theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.


Nonlinear Problems of Elasticity

Nonlinear Problems of Elasticity

Author: S.S Antman

Publisher: Springer

Published: 2012-02-25

Total Pages: 0

ISBN-13: 9780387501024

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Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and applications of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticity , general theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.


Non-Linear Theory of Elasticity

Non-Linear Theory of Elasticity

Author: A.I. Lurie

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 632

ISBN-13: 0444597239

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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 body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.