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Titlebook: Differential Geometry and Continuum Mechanics; Gui-Qiang G. Chen,Michael Grinfeld,R. J. Knops Conference proceedings 2015 Springer Interna

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发表于 2025-3-21 19:19:30 | 显示全部楼层 |阅读模式
书目名称Differential Geometry and Continuum Mechanics
编辑Gui-Qiang G. Chen,Michael Grinfeld,R. J. Knops
视频video
概述Includes supplementary material:
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Differential Geometry and Continuum Mechanics;  Gui-Qiang G. Chen,Michael Grinfeld,R. J. Knops Conference proceedings 2015 Springer Interna
描述.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..
出版日期Conference proceedings 2015
关键词Compensated Compactness; Defects; Differential Geometry; Elasticity; Isometric Embeddings; Liquid Crystal
版次1
doihttps://doi.org/10.1007/978-3-319-18573-6
isbn_softcover978-3-319-37133-7
isbn_ebook978-3-319-18573-6Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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发表于 2025-3-21 22:50:46 | 显示全部楼层
https://doi.org/10.1007/978-3-658-08711-1cal dissipation is derived. A differential geometric interpretation of the defect kinematics is developed, and the relative simplicity of the actual adopted kinematics is pointed out. The kinematic structure of the theory strongly points to the incompatibility of dissipation with strict deformation compatibility.
发表于 2025-3-22 00:56:27 | 显示全部楼层
https://doi.org/10.1007/978-1-4842-0799-4ressible isotropic solid. We will show that an isotropic distribution of point defects cannot be represented by a distribution of purely dilatational eigenstrains. However, it can be represented by a distribution of radial eigenstrains. We also discuss an analogy between the residual stress field and the gravitational field of a spherical mass.
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Singular Perturbation Problems Involving Curvatureergy depending on the lengths of the edges. In the second case, we have a uniaxial anisotropy. We calculate the limiting energy for surfaces of revolution and give a lower bound for topological spheres.
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Non-metricity and the Nonlinear Mechanics of Distributed Point Defectsressible isotropic solid. We will show that an isotropic distribution of point defects cannot be represented by a distribution of purely dilatational eigenstrains. However, it can be represented by a distribution of radial eigenstrains. We also discuss an analogy between the residual stress field and the gravitational field of a spherical mass.
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