| 书目名称 | Geometrical Foundations of Continuum Mechanics |
| 副标题 | An Application to Fi |
| 编辑 | Paul Steinmann |
| 视频video | |
| 概述 | Comprehensive presentation of the main concepts of differential geometry.Presents applications of differential geometry concepts to nonlinear continuum mechanics.Written by a leading expert in the fie |
| 丛书名称 | Lecture Notes in Applied Mathematics and Mechanics |
| 图书封面 |  |
| 描述 | .This book illustrates the deep roots of the geometrically nonlinear kinematics of.generalized continuum mechanics in differential geometry. Besides applications to first-.order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating.for generalized models of continuum mechanics such as second-order (gradient-type).elasticity and elasto-plasticity.. .After a motivation that arises from considering geometrically linear first- and second-.order crystal plasticity in Part I several concepts from differential geometry, relevant.for what follows, such as connection, parallel transport, torsion, curvature, and metric.for holonomic and anholonomic coordinate transformations are reiterated in Part II..Then, in Part III, the kinematics of geometrically nonlinear continuum mechanics.are considered. There various concepts of differential geometry, in particular aspects.related to compatibility, are generically applied to the kinematics of first- and second-.order geometrically nonlinear continuum mechanics. Together with the discussion on.the integrability conditions for the distortions and double-distortions, the concepts.of dislocation, disclination and point-d |
| 出版日期 | Book 2015 |
| 关键词 | Applied Mathematics; Applied Mechanics; Differential Geometry; Geometrical Foundations of Continuum Mec |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-46460-1 |
| isbn_softcover | 978-3-662-46459-5 |
| isbn_ebook | 978-3-662-46460-1Series ISSN 2197-6724 Series E-ISSN 2197-6732 |
| issn_series | 2197-6724 |
| copyright | Springer-Verlag Berlin Heidelberg 2015 |
发表于 2025-3-21 19:34:45
