Springer Proceedings in Mathematics & Statistics

Differential Geometry and Continuum Mechanics

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

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eBook 101,14 €
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  • ISBN 978-3-319-18573-6
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Hardcover 135,19 €
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  • ISBN 978-3-319-18572-9
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Softcover 124,79 €
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  • ISBN 978-3-319-37133-7
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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

    Preview Buy Chapter 30,19 €
  • Global Isometric Embedding of Surfaces in $$\mathbb R^3$$ R 3

    Han, Qing

    Pages 29-47

    Preview Buy Chapter 30,19 €
  • Singular Perturbation Problems Involving Curvature

    Moser, Roger

    Pages 49-75

    Preview Buy Chapter 30,19 €
  • 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

    Preview Buy Chapter 30,19 €
  • Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids

    Acharya, Amit (et al.)

    Pages 123-165

    Preview Buy Chapter 30,19 €

Buy this book

eBook 101,14 €
price for Spain (gross)
  • ISBN 978-3-319-18573-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-18572-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-319-37133-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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