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Geometric Continuum Mechanics. 1st ed. 2020.
・ISBN 978-3-030-42685-9 paper EUR 129.99
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| 著者・編者 | Segev, Reuven / Epstein, Marcelo (eds.), |
|---|---|
| シリーズ | Advances in Mechanics and Mathematics |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2021 |
| ページ数 | 416 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-318＞ |
解説
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