Linear And Non Linear Deformations Of Elastic Solids
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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.
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 Theory Of Elasticity
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Author : A.I. Lurie
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Non Linear Theory Of Elasticity written by A.I. Lurie 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 Science categories.
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.
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.
Linear Theories Of Elasticity And Thermoelasticity Linear And Nonlinear Theories Of Rods Plates And Shells
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Author : Clifford Truesdell
language : en
Publisher: Springer
Release Date : 1984
Linear Theories Of Elasticity And Thermoelasticity Linear And Nonlinear Theories Of Rods Plates And Shells written by Clifford Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.
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.
Mechanics Of Solids
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Author : C. Truesdell
language : en
Publisher: Springer
Release Date : 1972
Mechanics Of Solids written by C. Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Science categories.
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Mechanics Of Solids
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Author : C. Truesdell
language : en
Publisher: Springer
Release Date : 1972-09-28
Mechanics Of Solids written by C. Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-09-28 with Science categories.
Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
On Some Problems In The Theory Of Non Linear Elastic Solids
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Author : Leonard R. Herrmann
language : en
Publisher:
Release Date : 1962
On Some Problems In The Theory Of Non Linear Elastic Solids written by Leonard R. Herrmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Elastic solids 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.