Non Linear Elastic Deformations
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Non Linear Elastic Deformations
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Author : R. W. Ogden
language : en
Publisher: Courier Corporation
Release Date : 2013-04-26
Non Linear Elastic Deformations written by R. W. Ogden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-26 with Technology & Engineering categories.
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 Elastic Deformations
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Author : R. W. Ogden
language : en
Publisher:
Release Date : 1984
Non Linear Elastic Deformations written by R. W. Ogden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Deformations (Mechanics). categories.
Linear And Non Linear Deformations Of Elastic Solids
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Author : Arabinda Roy
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Linear And Non Linear Deformations Of Elastic Solids written by Arabinda Roy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Technology & Engineering categories.
Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.
Problems Of Non Linear Elasticity
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Author : Clifford Truesdell
language : en
Publisher:
Release Date : 1965
Problems Of Non Linear Elasticity written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Continuum Mechanics categories.
Nonlinear Elasticity
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Author : Y. B. Fu
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-07
Nonlinear Elasticity written by Y. B. Fu 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 2001-05-07 with Mathematics categories.
Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
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.
Large Elastic Deformations And Non Linear Continuum Mechanics
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Author : Albert Edward Green
language : en
Publisher:
Release Date : 1960
Large Elastic Deformations And Non Linear Continuum Mechanics written by Albert Edward Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Deformations (Mechanics) categories.
Non Linear Theory Of Elasticity And Optimal Design
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Author : L.W. Ratner
language : en
Publisher: Elsevier
Release Date : 2003-11-12
Non Linear Theory Of Elasticity And Optimal Design written by L.W. Ratner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-12 with Science categories.
In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it can be done only with a destructive test for each structure. For building and explaining the theory, a new logical structure was introduced as the basis of the theory. One of the important physical implications of this logic is that it describes mathematically the universal domain of the possible stable physical relations.
Large Elastic Deformations And Non Linear Continum Mechanics
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Author : Albert Edward Green
language : en
Publisher:
Release Date : 1960
Large Elastic Deformations And Non Linear Continum Mechanics written by Albert Edward Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Nonlinear Problems Of Elasticity
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Author : Stuart Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Nonlinear Problems Of Elasticity written by Stuart Antman 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 2013-03-14 with Mathematics categories.
The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.