Methods of fundamental solutions in the mechanics of thin-walled structures

被引：0
|
作者：
Shevchenko, VP [1 ]
Hol'tsev, AS [1 ]
Dovbnya, EM [1 ]
机构：
[1] Donetsk State Univ, UA-340055 Donetsk, Ukraine
来源：
MATERIALS SCIENCE | 2001年 / 37卷 / 03期
关键词：
Differential Equation; Partial Differential Equation; Numerical Calculation; Heat Source; Fundamental Solution;
D O I：
10.1023/A:1013297719934
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present the foundations of the method of fundamental solutions in the mechanics of thin-walled structures and consider basic procedures of modeling that enable one to reduce mechanical problems to systems of partial differential equations with Dirac delta-functions on the right-hand sides. A method used for the construction of fundamental solutions is described. As examples, we consider the problem of action of point heat sources in a spherical orthotropic shell and the force problem for orthotropic shells with holes. The results of numerical calculations are presented in the form of plots.
引用
收藏
页码：383 / 391
页数：9
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