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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

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

Author: Larry Alan Taber

Publisher: World Scientific

Published: 2004

Total Pages: 417

ISBN-13: 9812794220

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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. Contents: Vectors, Dyadics, and Tensors; Analysis of Deformation; Analysis of Stress; Constitutive Relations; Biomechanics Applications. Readership: Graduate students and researchers interested in mechanics problems involving large elastic deformations, like those in soft tissue 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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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.

Foundations of the Nonlinear Theory of Elasticity

Author: Valentin Valentinovič Novožilov

Publisher:

Published: 1953

Total Pages: 233

ISBN-13:

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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.

Foundations of the Nonlinear Theory of Elasticity

Author: V. V. Novožilov

Publisher:

Published: 1953

Total Pages: 233

ISBN-13:

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Non-Linear Elastic Deformations

Author: R. W. Ogden

Publisher: Courier Corporation

Published: 2013-04-26

Total Pages: 562

ISBN-13: 0486318710

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Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.

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.

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

Author: Leonid M. Zubov

Publisher: Springer Science & Business Media

Published: 2008-09-11

Total Pages: 207

ISBN-13: 3540684301

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The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.