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Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : Gérard A. Maugin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-24

Mechanics Of Generalized Continua written by Gérard A. Maugin 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 2010-03-24 with Mathematics categories.


In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.



Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-02

Mechanics Of Generalized Continua written by Holm Altenbach 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 2011-04-02 with Technology & Engineering categories.


This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.



Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : E. Kröner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Mechanics Of Generalized Continua written by E. Kröner 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 2013-11-11 with Science categories.


5 The symposium was held in Freudenstadt from 28\h to 31 \ ofAugust st nd 1967 and in Stuttgart from 1 to 2 of September 1967. The proposal to hold this symposium originated with the German Society of Applied Mathematics and Mechanics (GAMM) late in 1964 and was examined by a committee of IUTAM especially appointed for this purpose. The basis of this examination was a report in which the present situation in the field and the possible aims of the symposium were surveyed. Briefly, the aims of the symposium were stated to be 1. the unification of the various approaches developed in recent years with the aim of penetrating into the microscopic world of matter by means of continuum theories; 2. the bridging of the gap between microscopic (or atomic) research on mechanics on one hand, and the phenomenological (or continuum mechanical) approach on the other hand; 3. the physical interpretation and the relation to actual material behaviour of the quantities and laws introduced into the new theories, together with applications; 4. the further development of the theories, where necessary, and the clarification of open questions; 5. a stocktaking of present achievements and the prognosis for future developments. The committee agreed unanimously that the topic of the symposium represented an important phase of current developments in continuum mechanics, from the purely theoretical point of view as well as in connection with possible applications to actual materials.



Generalized Continua From The Theory To Engineering Applications


Generalized Continua From The Theory To Engineering Applications
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Author : Holm Altenbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-18

Generalized Continua From The Theory To Engineering Applications written by Holm Altenbach 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 2012-10-18 with Technology & Engineering categories.


On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.



Mechanics Of Generalized Continua Proceedings Of The Iutam Symposium On The Generalized Cosserat Continuum And The Continuum Theory Of Dislocations With Applications Freudenstadt And Stuttgart 1967


Mechanics Of Generalized Continua Proceedings Of The Iutam Symposium On The Generalized Cosserat Continuum And The Continuum Theory Of Dislocations With Applications Freudenstadt And Stuttgart 1967
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Author :
language : en
Publisher:
Release Date : 1968

Mechanics Of Generalized Continua Proceedings Of The Iutam Symposium On The Generalized Cosserat Continuum And The Continuum Theory Of Dislocations With Applications Freudenstadt And Stuttgart 1967 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.




Mechanics Of Generalized Continua


Mechanics Of Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2012-03-14

Mechanics Of Generalized Continua written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-14 with Technology & Engineering categories.


This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.



Mechanics Of Generalized Continua Proceedings Ed


Mechanics Of Generalized Continua Proceedings Ed
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Author : Symposium on the Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart, 1967
language : en
Publisher:
Release Date :

Mechanics Of Generalized Continua Proceedings Ed written by Symposium on the Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart, 1967 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Continuum mechanics categories.




Introduction To Mechanics Of Continua


Introduction To Mechanics Of Continua
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Author : William Prager
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

Introduction To Mechanics Of Continua written by William Prager and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Science categories.


A classic in the field, this book meets the demands of courses that establish groundwork in hydrodynamics, gas dynamics, plasticity and elasticity, and it provides typical continua problems for nonspecialists. The author addresses the major aspects of continuum studies: geometrical foundations, state of stress, instantaneous motion, fundamental laws, perfect fluids, viscous fluids, visco-plastic and perfectly plastic materials, hypoelastic materials, finite strain, and elastic and hyperelastic materials. The text’s broad converge and numerous applications include more than 160 problems and examples, and the only prerequisites are first- and second-year college calculus. 1961 ed.



Theoretical Mechanics Of Particles And Continua


Theoretical Mechanics Of Particles And Continua
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Author : Alexander L. Fetter
language : en
Publisher: Courier Corporation
Release Date : 2003-12-16

Theoretical Mechanics Of Particles And Continua written by Alexander L. Fetter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-16 with Science categories.


This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.