书目名称 | Nonlinear Problems of Elasticity | 编辑 | Stuart S. Antman | 视频video | http://file.papertrans.cn/668/667666/667666.mp4 | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton‘s Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of th | 出版日期 | Book 19951st edition | 关键词 | Extension; angular momentum; bifurcation; elasticity; mechanics; momentum; tensor | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-4147-6 | isbn_ebook | 978-1-4757-4147-6Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | Springer Science+Business Media New York 1995 |
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