Differential Geometry and Continuum Mechanics
Editors: Chen, Gui-Qiang, Grinfeld, Michael, Knops, R. J. (Eds.)
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- About this book
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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.
- Table of contents (13 chapters)
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Compensated Compactness with More Geometry
Pages 3-26
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Global Isometric Embedding of Surfaces in $$\mathbb R^3$$
Pages 29-47
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Singular Perturbation Problems Involving Curvature
Pages 49-75
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Lectures on the Isometric Embedding Problem $$(M^{n},g)\rightarrow \mathrm {I\!R\!}^{m},\,m=\frac{n}{2}(n+1)$$
Pages 77-120
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Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids
Pages 123-165
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Table of contents (13 chapters)
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- Download Table of contents PDF (59.7 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Differential Geometry and Continuum Mechanics
- Editors
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- Gui-Qiang Chen
- Michael Grinfeld
- R. J. Knops
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 137
- Copyright
- 2015
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-18573-6
- DOI
- 10.1007/978-3-319-18573-6
- Hardcover ISBN
- 978-3-319-18572-9
- Softcover ISBN
- 978-3-319-37133-7
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- VIII, 387
- Number of Illustrations
- 9 b/w illustrations, 14 illustrations in colour
- Topics
