Differential geometry and continuum mechanics [electronic resource] / Gui-Qiang G. Chen, Michael Grinfeld, R.J. Knops, editors.
Chen, Gui-Qiang, 1963- editor.; Grinfeld, Michael (Mathematician), editor.; Knops, R. J. (Robin John), editor.
2015
QA641 .D54 2015eb
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Title
Differential geometry and continuum mechanics [electronic resource] / Gui-Qiang G. Chen, Michael Grinfeld, R.J. Knops, editors.
ISBN
9783319185736 electronic book
331918573X electronic book
9783319185729
DOI
https://doi.org/10.1007/978-3-319-18573-6
Published
Cham : ICMS : Springer, [2015]
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-18573-6 doi
Call Number
QA641 .D54 2015eb
Dewey Decimal Classification
516.3/6
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Added Author
Chen, Gui-Qiang, 1963- editor.
Grinfeld, Michael (Mathematician), editor.
Knops, R. J. (Robin John), editor.
Series
Springer proceedings in mathematics & statistics.
Available in Other Form
Print version: 9783319185729
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Compensated compactness with more geometry
GLOBAL ISOMETRIC EMBEDDING OF SURFACES IN R3
Singular perturbation problems involving curvature
Lectures on the Isometric Embedding Problem(Mn, g) ? IRm, m = n2 (n + 1)
Continuum mechanics of the interaction of phase boundaries and dislocations in solids
Manifolds in a theory of microstructures
On the Geometry and Kinematics of Smoothly Distributed and Singular Defects
Non-Metricity and the Nonlinear Mechanics of Distributed Point Defects
Are microcontinuum field theories of elasticity amenable to experiments? ? A review of some recent results
ON THE VARIATIONAL LIMITS OF LATTICE ENERGIES ON PRESTRAINED ELASTIC BODIES
Static Elasticity in a Riemannian Manifold
Calculating the bending moduli of the Canham-Helfrich free-energy density
Elasticity of Twist-Bend Nematic Phases.

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