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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
Total Pages: 471
Release: 2023-03-10
Genre: Technology & Engineering
ISBN: 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
Total Pages: 417
Release: 2004
Genre: Science
ISBN: 9812794220

Download Nonlinear Theory of Elasticity Book in PDF, ePub and Kindle

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

Nonlinear Theory Of Elasticity: Applications In Biomechanics
Author: Larry A Taber
Publisher: World Scientific
Total Pages: 417
Release: 2004-02-19
Genre: Science
ISBN: 9814483397

Download Nonlinear Theory Of Elasticity: Applications In Biomechanics Book in PDF, ePub and Kindle

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
Total Pages: 260
Release: 1999-01-01
Genre: Technology & Engineering
ISBN: 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 Elasticity

Nonlinear Elasticity
Author: Y. B. Fu
Publisher: Cambridge University Press
Total Pages: 541
Release: 2001-05-07
Genre: Mathematics
ISBN: 0521796954

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


Non-Linear Elastic Deformations

Non-Linear Elastic Deformations
Author: R. W. Ogden
Publisher: Courier Corporation
Total Pages: 562
Release: 2013-04-26
Genre: Technology & Engineering
ISBN: 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

Non-Linear Theory of Elasticity
Author: A.I. Lurie
Publisher: Elsevier
Total Pages: 632
Release: 2012-12-02
Genre: Science
ISBN: 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

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
Author: Leonid M. Zubov
Publisher: Springer Science & Business Media
Total Pages: 207
Release: 2008-09-11
Genre: Science
ISBN: 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.