| 书目名称 | Geometric Continuum Mechanics | | 编辑 | Reuven Segev,Marcelo Epstein | | 视频video | | | 概述 | Explores the mathematical foundations of continuum mechanics with a particular focus on geometric methods.Introduces applications of global analysis, algebraic topology, algebroids, groupoids, and geo | | 丛书名称 | Advances in Mechanics and Mathematics | | 图书封面 |  | | 描述 | This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include:.Global stress and hyper-stress theories.Applications of de Rham currents to singular dislocations.Manifolds of mappings for continuum mechanics.Kinematics of defects in solid crystals.Geometric Continuum Mechanics. will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.. | | 出版日期 | Book 2020 | | 关键词 | Continuum Mechanics; Geometric Continuum Mechanics; Geometry and mechanics; Differential geometry; Stres | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-42683-5 | | isbn_softcover | 978-3-030-42685-9 | | isbn_ebook | 978-3-030-42683-5Series ISSN 1571-8689 Series E-ISSN 1876-9896 | | issn_series | 1571-8689 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:29:57
