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Differential Geometry and Continuum Mechanics: Springer Proceedings in Mathematics & Statistics, cartea 137

Editat de Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops
en Limba Engleză Paperback – 22 oct 2016
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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Specificații

ISBN-13: 9783319371337
ISBN-10: 3319371339
Pagini: 387
Ilustrații: VIII, 387 p. 23 illus., 14 illus. in color.
Dimensiuni: 155 x 235 mm
Ediția:Softcover reprint of the original 1st ed. 2015
Editura: Springer International Publishing
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras