On the solution of plane boundary-value problems of elasticity in a rectangle

被引：4
|
作者：
Golovchan, V. T. [1 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Superhard Mat, Kiev, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2006年 / 42卷 / 01期
关键词：
plane theory of elasticity; rectangular domain; complex-valued representation; Lagrange polynomials; easy-to-implement algorithm;
D O I：
10.1007/s10778-006-0061-8
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An algorithm for solving plane boundary-value problems of elasticity for a rectangular domain is expounded. The algorithm is based on a complex-valued representation of the general solution to the differential equations of the plane problem and on the use of Lagrange polynomials to satisfy the boundary conditions. The algorithm can quite easily be implemented in a computer program. This is probably the simplest way of solving boundary-value problems of this class
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页码：84 / 89
页数：6
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