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.
| ISBN: | 9783319185729 |
| Publication date: | 22nd August 2015 |
| Author: | GuiQiang Chen, Michael Grinfeld, R J Knops |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 387 pages |
| Series: | Springer Proceedings in Mathematics & Statistics |
| Genres: |
Differential calculus and equations Differential and Riemannian geometry Engineering: Mechanics of solids Mathematical physics Materials science |
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.
Differential Geometry and Continuum Mechanics features in the following genres: Differential calculus and equations, Differential and Riemannian geometry, Engineering: Mechanics of solids, Mathematical physics, Materials science
Hardback. Not Available.
Differential Geometry and Continuum Mechanics was written by GuiQiang Chen, Michael Grinfeld, R J Knops and published by Springer an imprint of Springer International Publishing
Differential Geometry and Continuum Mechanics has 387 pages
Yes it is part of Springer Proceedings in Mathematics & Statistics series