Nonlinear Theory of Elasticity

Nonlinear Theory of Elasticity

Author: Larry A Taber

Publisher:

Published: 2023-03-10

Total Pages: 0

ISBN-13: 9789811270512

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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.


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 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 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 Mesoscopic Elasticity

Nonlinear Mesoscopic Elasticity

Author: Robert A. Guyer

Publisher: John Wiley & Sons

Published: 2009-09-28

Total Pages: 410

ISBN-13: 3527407030

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This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks. There are three central themes running throughout the presentation: · Rocks as the prototypical material for defining a class of materials · The PM space model as a useful theoretical construct for developing a phenomenology · A sequence of refined analysis methods. This suite of new methods for both recording and analyzing data is more than a single framework for interpretation, it is also a toolbox for the experimenter. A comprehensive and systematic book of utmost interest to anybody involved in non-destructive testing, civil engineering, and geophysics.


Continuum Modeling in Mechanobiology

Continuum Modeling in Mechanobiology

Author: Larry A. Taber

Publisher: Springer Nature

Published: 2020-06-15

Total Pages: 545

ISBN-13: 3030432092

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This book examines key theoretical tools that are currently used to develop mathematical models as an aid in understanding the biological response of cells and tissues to mechanical stimuli. Problems in growth and remodeling, tissue and organ development, and functional adaptation are all covered. Chapters on tensor analysis and nonlinear elasticity provide the necessary background for understanding the engineering theories that are currently used to solve challenges in mechanobiology. This is an ideal book for biomechanical engineers who work on problems in mechanobiology and tissue engineering.


Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure

Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure

Author: Carlo Cattani

Publisher: World Scientific

Published: 2007

Total Pages: 473

ISBN-13: 9812709762

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This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three. All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials. Sample Chapter(s). Chapter 1: Introduction (121 KB). Contents: Wavelet Analysis; Materials with Micro- or Nanostructure; Waves in Materials; Simple and Solitary Waves in Materials; Solitary Waves and Elastic Waves. Readership: Advanced undergraduate and graduate students as well as experts in mathematical modeling, engineering mechanics and mechanics, physics; specialists in wavelet and wave analysis as tools for mathematical modeling.


Elasticity

Elasticity

Author: Martin H. Sadd

Publisher: Elsevier

Published: 2010-08-04

Total Pages: 474

ISBN-13: 008047747X

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Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of