| 书目名称 | Foundations of Geometric Continuum Mechanics |
| 副标题 | Geometry and Duality |
| 编辑 | Reuven Segev |
| 视频video | |
| 概述 | Provides a general framework for the geometric foundations of continuum mechanics.Highlights the relationship between the physical aspects of continuum mechanics and the underlying mathematical notion |
| 丛书名称 | Advances in Mechanics and Mathematics |
| 图书封面 |  |
| 描述 | This monograph presents the geometric foundations of continuum mechanics. An emphasis is placed on increasing the generality and elegance of the theory by scrutinizing the relationship between the physical aspects and the mathematical notions used in its formulation. The theory of uniform fluxes in affine spaces is covered first, followed by the smooth theory on differentiable manifolds, and ends with the non-smooth global theory. Because continuum mechanics provides the theoretical foundations for disciplines like fluid dynamics and stress analysis, the author’s extension of the theory will enable researchers to better describe the mechanics of modern materials and biological tissues. The global approach to continuum mechanics also enables the formulation and solutions of practical optimization problems..Foundations of Geometric Continuum Mechanics. will be an invaluable resource for researchers in the area, particularly mathematicians, physicists, and engineers interested in the foundational notions of continuum mechanics.. |
| 出版日期 | Book 2023 |
| 关键词 | Continuum mechanics; Continuum mechanics; Classical field theories; Uniform fluxes; Smooth theory; Differ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-35655-1 |
| isbn_softcover | 978-3-031-35657-5 |
| isbn_ebook | 978-3-031-35655-1Series 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 |
发表于 2025-3-21 18:53:34
