Numerical solutions of the von Karman equations for a thin plate

被引：16

作者：

DaSilva, PP

Krauth, W

机构：

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1997年 / 8卷 / 02期

关键词：

nonlinear elasticity; plate mechanics; von Karman equations; finite element method; large-dimensional minimization;

D O I：

10.1142/S0129183197000357

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we present an algorithm for the solution of the von Karman equations of elasticity theory and related problems. Our method of successive reconditioning is able to avoid convergence problems at any ratio of the nonlinear stretching and the pure bending energies. We illustrate the power of the method by numerical calculations of pinched or compressed plates subject to fixed boundaries.

引用

页码：427 / 434

页数：8

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