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Differential Geometry and Continuum Mechanics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Differential Geometry and Continuum Mechanics/ edited by Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops.
其他作者:	Chen, Gui-Qiang G.
面頁冊數:	VIII, 387 p. 23 illus., 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-18573-6
ISBN:	9783319185736

Differential Geometry and Continuum Mechanics
Differential Geometry and Continuum Mechanics[electronic resource] /edited by Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops. - 1st ed. 2015. - VIII, 387 p. 23 illus., 14 illus. in color.online resource. - Springer Proceedings in Mathematics & Statistics,1372194-1009 ;. - Springer Proceedings in Mathematics & Statistics,125.

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.

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

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

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Differential Geometry and Continuum Mechanics
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