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Differential geometry and continuum ...

Chen, Gui-Qiang G.

Differential geometry and continuum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential geometry and continuum mechanicsedited by Gui-Qiang G. Chen, Michael Grinfeld, R.J. Knops.
other author:	Chen, Gui-Qiang G.
Published:	Cham :Springer International Publishing :2015.
Description:	viii, 387 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometry, Differential.
Online resource:	http://dx.doi.org/10.1007/978-3-319-18573-6
ISBN:	9783319185736$q(electronic bk.)

Differential geometry and continuum mechanics
Differential geometry and continuum mechanics[electronic resource] /edited by Gui-Qiang G. Chen, Michael Grinfeld, R.J. Knops. - Cham :Springer International Publishing :2015. - viii, 387 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v.1372194-1009 ;. - Springer proceedings in mathematics & statistics ;v.19..

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: 9783319185736$q(electronic bk.)

Standard No.: 10.1007/978-3-319-18573-6doiSubjects--Topical Terms:

182610
Geometry, Differential.

LC Class. No.: QA641 / .D54 2015

Dewey Class. No.: 516.36

Differential geometry and continuum mechanics
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520 $a 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.
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