Overview
- Showcases several areas of continuum mechanics that are outgrowths of the work of the Cosserat brothers
- Focuses on recent developments in continuum mechanics and materials design, presenting several applications of these theories
- Provides an overview of research from many different areas of continuum mechanics
- Can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 21)
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Table of contents (34 chapters)
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Front Matter
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On the Cosserat’s Works
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Front Matter
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On the Cosserat's works
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Cosserat Media (Rigidly Rotating Microstructure)
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Front Matter
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Cosserat media (rigidly rotating microstructure)
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Micromorphic Media (Deformable Microstructure)
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Front Matter
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Micromorphic media (deformable microstructure)
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From the Discrete to the Continuum Description (Cosserat and Other Continua Often in Relation to Dynamical Properties, Homogenization)
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Front Matter
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From the discrete to the continuum description (Cosserat and other continua often in relation to dynamical properties, homogenization)
Keywords
About this book
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. The diverse topics covered include: the properties of Cosserat media, micromorphic bodies, micropolar solids and fluids, weakly- and strongly-nonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywhere-defective materials, bodies with fractal structure, as well as other related topics.
Mechanics of Generalized Continua can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.
Editors and Affiliations
Bibliographic Information
Book Title: Mechanics of Generalized Continua
Book Subtitle: One Hundred Years After the Cosserats
Editors: Gérard A. Maugin, Andrei V. Metrikine
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-1-4419-5695-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-1-4419-5694-1Published: 24 March 2010
Softcover ISBN: 978-1-4614-2574-8Published: 04 May 2012
eBook ISBN: 978-1-4419-5695-8Published: 24 March 2010
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XIX, 337
Number of Illustrations: 57 b/w illustrations, 11 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Solid Mechanics, Mathematical and Computational Engineering