ON SOME BOUNDARY-VALUE-PROBLEMS FOR THE EQUATION DEL.(F(VERTICAL-BAR-DEL-W-VERTICAL-BAR)DEL-W)=0

被引：32

作者：

ATKINSON, C

CHAMPION, CR

机构：

来源：

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1995年 / 448卷 / 1933期

关键词：

D O I：

10.1098/rspa.1995.0016

中图分类号：

学科分类号：

摘要：

A method based on the use of a reciprocal theorem and dual functions in the strain plane (gamma(x), gamma(y)), where gamma(x) = partial-derivativew/partial-derivativex, gamma(y) = partial-derivativew/partial-derivativey is used to deduce solutions of the equation del . (F(\delw\)delw) = 0 for various boundary value problems. The method is applied, in principle, to general (F(\delw\) and specific examples, previously treated by other methods (e.g. F(\delw\) = \delw\n), are worked out in detail as a check on the method.

引用

页码：269 / 279

页数：11

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