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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.
Book Synopsis Nonlinear Theory Of Elasticity: Applications In Biomechanics (Revised Edition) by : Larry A Taber
Download or read book Nonlinear Theory Of Elasticity: Applications In Biomechanics (Revised Edition) written by Larry A Taber and published by World Scientific. This book was released on 2023-03-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Nonlinear Theory of Elasticity by : Larry Alan Taber
Download or read book Nonlinear Theory of Elasticity written by Larry Alan Taber and published by World Scientific. This book was released on 2004 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
Book Synopsis Nonlinear Elasticity by : Y. B. Fu
Download or read book Nonlinear Elasticity written by Y. B. Fu and published by Cambridge University Press. This book was released on 2001-05-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
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.
Book Synopsis Nonlinear Theory Of Elasticity: Applications In Biomechanics by : Larry A Taber
Download or read book Nonlinear Theory Of Elasticity: Applications In Biomechanics written by Larry A Taber and published by World Scientific. This book was released on 2004-02-19 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Foundations of the Nonlinear Theory of Elasticity by : V. V. Novozhilov
Download or read book Foundations of the Nonlinear Theory of Elasticity written by V. V. Novozhilov and published by Courier Corporation. This book was released on 1999-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Foundations of the Nonlinear Theory of Elasticity by : Valentin Valentinovič Novožilov
Download or read book Foundations of the Nonlinear Theory of Elasticity written by Valentin Valentinovič Novožilov and published by . This book was released on 1953 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells that begins with a derivation of the equations of motion by a descent from the equations of balance of linear and rotational momentum of a three-dimensional material continuum. This book discusses as well the approach to deriving complete field equations for one- or two-dimensional continua from the integral equations of motion and thermodynamics of a three-dimensional continuum. The final chapter deals with the analysis of unishells. This book is a valuable resource for physicists, mathematicians, and scientists.
Book Synopsis The Nonlinear Theory of Elastic Shells by : A. Libai
Download or read book The Nonlinear Theory of Elastic Shells written by A. Libai and published by Elsevier. This book was released on 2012-12-02 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells that begins with a derivation of the equations of motion by a descent from the equations of balance of linear and rotational momentum of a three-dimensional material continuum. This book discusses as well the approach to deriving complete field equations for one- or two-dimensional continua from the integral equations of motion and thermodynamics of a three-dimensional continuum. The final chapter deals with the analysis of unishells. This book is a valuable resource for physicists, mathematicians, and scientists.
Book Synopsis Foundations of the Nonlinear Theory of Elasticity by : V. V. Novožilov
Download or read book Foundations of the Nonlinear Theory of Elasticity written by V. V. Novožilov and published by . This book was released on 1953 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Non-Linear Theory of Elasticity by : A.I. Lurie
Download or read book Non-Linear Theory of Elasticity written by A.I. Lurie and published by Elsevier. This book was released on 2012-12-02 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Non-linear Elastic Deformations by : R. W. Ogden
Download or read book Non-linear Elastic Deformations written by R. W. Ogden and published by . This book was released on 1984 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
