Foundations Of The Nonlinear Theory Of Elasticity
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Foundations Of The Nonlinear Theory Of Elasticity
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Author : V. V. Novozhilov
language : en
Publisher: Courier Corporation
Release Date : 1999-01-01
Foundations Of The Nonlinear Theory Of Elasticity written by V. V. Novozhilov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Technology & Engineering categories.
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.
Foundations Of The Nonlinear Theory Of Elasticity
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Author : V. V. Novožilov
language : en
Publisher:
Release Date : 1953
Foundations Of The Nonlinear Theory Of Elasticity written by V. V. Novožilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
Foundations Of The Nonlinear Theory Of Elasticity
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Author : Valentin Valentinovič Novožilov
language : en
Publisher:
Release Date : 1953
Foundations Of The Nonlinear Theory Of Elasticity written by Valentin Valentinovič Novožilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
Foundation Of The Nonlinear Theory Of Elasticity
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Author : Viktor Valentinovich Novozhilov
language : en
Publisher:
Release Date : 1953
Foundation Of The Nonlinear Theory Of Elasticity written by Viktor Valentinovich Novozhilov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
Theory Of Elasticity
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Author : A.I. Lurie
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-30
Theory Of Elasticity written by A.I. Lurie 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 2010-05-30 with Technology & Engineering categories.
The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.
The Nonlinear Theory Of Elastic Shells
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Author : A. Libai
language : en
Publisher: Elsevier
Release Date : 2012-12-02
The Nonlinear Theory Of Elastic Shells written by A. Libai and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.
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.
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.
The Nonlinear Theory Of Elastic Shells
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Author : A. Libai
language : en
Publisher: Cambridge University Press
Release Date : 1998-02-13
The Nonlinear Theory Of Elastic Shells written by A. Libai 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 1998-02-13 with Mathematics categories.
A clear, thorough explanation of the nonlinear behaviour of shells, for researchers and graduate students.
Nonlinear Elastic Waves In Materials
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Author : Jeremiah J. Rushchitsky
language : en
Publisher: Springer Science & Business
Release Date : 2014-04-23
Nonlinear Elastic Waves In Materials written by Jeremiah J. Rushchitsky and has been published by Springer Science & Business this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-23 with Science categories.
The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.
Nonlinear Theory Of Dislocations And Disclinations In Elastic Bodies
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Author : Leonid M. Zubov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11
Nonlinear Theory Of Dislocations And Disclinations In Elastic Bodies written by Leonid M. Zubov 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 2008-09-11 with Science categories.
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.