Nonlinear Theory Of Elasticity Applications In Biomechanics Revised Edition

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Nonlinear Theory Of Elasticity Applications In Biomechanics Revised Edition

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Author : Larry A Taber
language : en
Publisher: World Scientific
Release Date : 2023-03-10

Nonlinear Theory Of Elasticity Applications In Biomechanics Revised Edition written by Larry A Taber and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-10 with Technology & Engineering categories.

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 Applications In Biomechanics

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Author : Larry A Taber
language : en
Publisher: World Scientific
Release Date : 2004-02-19

Nonlinear Theory Of Elasticity Applications In Biomechanics written by Larry A Taber and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-19 with Science categories.

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

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Author : Larry Alan Taber
language : en
Publisher: World Scientific
Release Date : 2004

Nonlinear Theory Of Elasticity written by Larry Alan Taber and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.

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.

Mechanics Of Solids And Materials

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Author : Robert Asaro
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-16

Mechanics Of Solids And Materials written by Robert Asaro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Science categories.

This 2006 book combines modern and traditional solid mechanics topics in a coherent theoretical framework.

Nonlinear Mesoscopic Elasticity

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Author : Robert A. Guyer
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-28

Nonlinear Mesoscopic Elasticity written by Robert A. Guyer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-28 with Science categories.

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

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Author : Larry A. Taber
language : en
Publisher: Springer Nature
Release Date : 2020-06-15

Continuum Modeling In Mechanobiology written by Larry A. Taber and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-15 with Technology & Engineering categories.

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.

The Linearized Theory Of Elasticity

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Author : William S. Slaughter
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

The Linearized Theory Of Elasticity written by William S. Slaughter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

The mathematical framework behind the theory is developed in detail, with the assumptions behind the eventual linearization made clear, so that the reader will be adequately prepared for further studies in continuum mechanics, nonlinear elasticity, inelasticity, fracture mechanics and/or finite elements. Prior to linearization, configurations and general measure of strain and stress are discussed. A modern treatment of the theory of tensors and tensor calculus is used. General curvilinear coordinates are described in an appendix.

Mathematical Modelling And Biomechanics Of The Brain

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Author : Corina Drapaca
language : en
Publisher: Springer Nature
Release Date : 2019-09-06

Mathematical Modelling And Biomechanics Of The Brain written by Corina Drapaca and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-06 with Mathematics categories.

This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. It begins with some historical perspective and a brief synopsis of the biomedical/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds with a discussion of the various mathematical models of the problems considered, starting with the simplest models and proceeding to more complex models where necessary. A detailed list of relevant references is provided at the end of each chapter. With the beginning research student in mind, the chapters have been crafted to be as self-contained as possible while addressing different clinical conditions and diseases. The book is intended as a brief introduction to both theoreticians and experimentalists interested in brain mechanics, with directions and guidance for further reading, for those who wish to pursue particular topics in greater depth. It can also be used as a complementary textbook in a graduate level course for neuroscientists and neuroengineers.

Theory Of Waves In Materials

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Author :
language : en
Publisher: Bookboon
Release Date :

Theory Of Waves In Materials written by and has been published by Bookboon this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Mathematical Foundations And Biomechanics Of The Digestive System

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Author : Roustem N. Miftahof
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-06

Mathematical Foundations And Biomechanics Of The Digestive System written by Roustem N. Miftahof and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-06 with Technology & Engineering categories.

Mathematical modelling of physiological systems promises to advance our understanding of complex biological phenomena and pathophysiology of diseases. In this book, the authors adopt a mathematical approach to characterize and explain the functioning of the gastrointestinal system. Using the mathematical foundations of thin shell theory, the authors patiently and comprehensively guide the reader through the fundamental theoretical concepts, via step-by-step derivations and mathematical exercises, from basic theory to complex physiological models. Applications to nonlinear problems related to the biomechanics of abdominal viscera and the theoretical limitations are discussed. Special attention is given to questions of complex geometry of organs, effects of boundary conditions on pellet propulsion, as well as to clinical conditions, e.g. functional dyspepsia, intestinal dysrhythmias and the effect of drugs to treat motility disorders. With end of chapter problems, this book is ideal for bioengineers and applied mathematicians.