| 書目名稱 | Problems of Nonlinear Deformation | | 副標題 | The Continuation Met | | 編輯 | E. I. Grigolyuk,V. I. Shalashilin | | 視頻video | http://file.papertrans.cn/758/757322/757322.mp4 | | 圖書封面 |  | | 描述 | Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu- ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step- wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are | | 出版日期 | Book 1991 | | 關鍵詞 | deformation; finite element method; mechanics; optimization; stability | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-3776-8 | | isbn_softcover | 978-94-010-5681-6 | | isbn_ebook | 978-94-011-3776-8 | | copyright | Springer Science+Business Media Dordrecht 1991 |
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