The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity

被引：1
|
作者：
Helmut Abels
Maria Giovanna Mora
Stefan Müller
机构：
[1] Universität Regensburg,NWF I—Mathematik
[2] Scuola Internazionale Superiore di Studi Avanzati,Hausdorff Center for Mathematics
[3] Universität Bonn,undefined
来源：
Calculus of Variations and Partial Differential Equations | 2011年 / 41卷
关键词：
74K20; 74B20; 74H10; 35L70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The asymptotic behaviour of solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness h of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of h, it is shown that three-dimensional solutions of the nonlinear elastodynamic equation converge to solutions of the time-dependent von Kármán plate equation.
引用
收藏
页码：241 / 259
页数：18
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