Springer Proceedings in Mathematics & Statistics

Differential Geometry and Continuum Mechanics

Editors: Chen, Gui-Qiang, Grinfeld, Michael, Knops, R. J. (Eds.)

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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.

Table of contents (13 chapters)

  • Compensated Compactness with More Geometry

    Tartar, Luc

    Pages 3-26

  • Global Isometric Embedding of Surfaces in $$\mathbb R^3$$

    Han, Qing

    Pages 29-47

  • Singular Perturbation Problems Involving Curvature

    Moser, Roger

    Pages 49-75

  • Lectures on the Isometric Embedding Problem $$(M^{n},g)\rightarrow \mathrm {I\!R\!}^{m},\,m=\frac{n}{2}(n+1)$$

    Slemrod, Marshall

    Pages 77-120

  • Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids

    Acharya, Amit (et al.)

    Pages 123-165

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-18573-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-18572-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-319-37133-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differential Geometry and Continuum Mechanics
Editors
  • 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 and Tables
9 b/w illustrations, 14 illustrations in colour
Topics