Editors:
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 137)
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Table of contents (13 papers)
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Front Matter
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General
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Front Matter
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Defects and Microstructure
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Front Matter
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Fluids and Liquid Crystals
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Front Matter
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Back Matter
About this book
This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated.
The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students.
These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.
Editors and Affiliations
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Radcliffe Observatory Quarter, Mathematical Institute, Oxford, United Kingdom
Gui-Qiang G. Chen
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Department of Mathematics and Statistics Livingstone Tower, University of Strathclyde, Glasgow, United Kingdom
Michael Grinfeld
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School of Mathem. and Computer Science, Heriot-Watt University, Edinburgh, United Kingdom
R. J. Knops
Bibliographic Information
Book Title: Differential Geometry and Continuum Mechanics
Editors: Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-18573-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-18572-9Published: 22 August 2015
Softcover ISBN: 978-3-319-37133-7Published: 22 October 2016
eBook ISBN: 978-3-319-18573-6Published: 11 August 2015
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: VIII, 387
Number of Illustrations: 9 b/w illustrations, 14 illustrations in colour
Topics: Partial Differential Equations, Mathematical Applications in the Physical Sciences, Differential Geometry, Mathematical Methods in Physics, Solid Mechanics, Materials Science, general