NUMERICAL SOLUTION OF A FOPPL-VON KARMAN MODEL

被引：6
|
作者：
Bartels, Soeren [1 ]
机构：
[1] Albert Ludwigs Univ Freiburg, Abt Angew Math, D-79104 Freiburg, Germany
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2017年 / 55卷 / 03期
关键词：
plate bending; finite elements; iterative solution; convergence; ENERGY; APPROXIMATION; SHEETS;
D O I：
10.1137/16M1069791
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The formation of folds and ridges in the elastic deformation of thin elastic sheets is related to certain instabilities in mathematical models derived from continuum mechanics. Their approximation is difficult due to nonuniqueness and localization effects which result from nonlinearities and singular perturbations. Numerical methods for simulating these effects have to be justified without unrealistic assumptions on exact solutions. The paper proposes a convergent finite element discretization of a Foppl-von Karman model and devises an efficient energy decreasing iterative scheme.
引用
收藏
页码：1505 / 1524
页数：20
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