Mechanics of Generalized Continua One Hundred Years After the Cosser
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 vol
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advances in mechanics and mathematics
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Mechanics of Generalized Continua One Hundred Years After the Cosserats
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MECHANICS OF GENERALIZED CONTINUA
Advances in Mechanics and Mathematics VOLUME 21 Series Editors David Y. Gao (Virginia Polytechnic Institute and State University) Ray W. Ogden (University of Glasgow) Romesh C. Batra (Virginia Polytechnic Institute and State University)
Advisory Board Ivar Ekeland (University of British Columbia, Vancouver) Tim Healey (Cornell University, USA) Kumbakonam Rajagopal (Texas A&M University, USA) Tudor Ratiu (École Polytechnique Fédérale, Lausanne) David J. Steigmann (University of California, Berkeley)
Aims and Scope Mechanics and mathematics have been complementary partners since Newton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. The discipline of mechanics, for this series, includes relevant physical and biological phenomena such as: electromagnetic, thermal, quantum effects, biomechanics, nanomechanics, multiscale modeling, dynamical systems, optimization and control, and computational methods. Driven by increasingly elaborate modern technological applications, the symbiotic relationship between mathematics and mechanics is continually growing. The increasingly large number of specialist journals has generated a complementarity gap between the partners, and this gap continues to widen. Advances in Mechanics and Mathematics is a series dedicated to the publication of the latest developments in the interaction between mechanics and mathematics and intends to bridge the gap by providing interdisciplinary publications in the form of monographs, graduate texts, edited volumes, and a special annual book consisting of invited survey articles.
For more titles in this series, go to http://www.springer.com/series/5613
MECHANICS OF GENERALIZED CONTINUA ONE HUNDRED YEARS AFTER THE COSSERATS
Edited By Gérard A. Maugin Université Pierre et Marie Curie, Paris, France Andrei V. Metrikine Delft University of Technology, Delft, The Netherlands
Editors: Gérard A. Maugin Institut Jean Le Rond d’Alembert Université Paris VI 75252 Paris CX 5, France [email protected]
Andrei V. Metrikine Faculty of Civil Engineering and Geosciences Delft University of Technology 2628 CN Delft, The Netherlands [email protected]
Series Editors: David Y. Gao Department of Mathematics Virginia Polytechnic Institute Blacksburg, VA 24061, USA [email protected]
Romesh C. Batra Department of Mathematics Virginia Polytechnic Institute Blacksburg, VA 24061, USA [email protected]
Ray W. Ogden Department of Mathematics University of Glasgow Glasgow, Scotland, UK [email protected]
ISSN 1571-8689 e-ISSN 1876-9896 ISBN 978-1-4419-5694-1 e-ISBN 978-1-4419-5695-8 DOI 10.1007/978-1-4419-5695-8 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010924435 Mathematics Subject Classification (2010): 74-02, 74-06, 74A35, 74A60, 74E15, 74Q15, 76A15, 82D25 c Springer Science+Business Media, LLC 2010
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