二维切口问题完备特征解的研究现状与进展
doi: 10.6052/1000-0992-2000-2-J1998-018 cstr: 32046.14.1000-0992-2000-2-J1998-018
THE PROGRESS ON COMPLETE EIGEN-SOLUTION OF TWO DIMENSIONAL NOTCH PROBLEMS
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摘要: 简要回顾和介绍了文献中常见的几种求解二维切口问题特征根的方法，评述这些方法 的特点及其求解范围．重点介绍了在求解二维切口问题完备特征根方面的一些进展，包括特征 根的求解方法、特征根的重根探讨以及相应的特征函数计算，这一问题基本上得到了解决．为 基于特征展开研究二维断裂问题打下了基础．Abstract: A brief review on eigen-solution of two-dimension crack/notch problems (anti-plane problem, in-plane problem, Reissuer plate) is given. A detailed introduction is given of the authors' work on complete eigen-solutions, including anti-plane problem, in-plane problem, Reissuer plate and shallow shell. In this paper, complete eigen-values salution method, characteristics of multiple roots and eigen-functions calculation are described. The present results offer a significant insight into the study of crack/notc...
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Key words:
- two-dimensional crack/notch problem /
- eigen-value /
- multiple roots /
- eigen-function /
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