The Time-Dependent Von Kármán Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity

被引：0
|
作者：
Yizhao Qin
Peng-Fei Yao
机构：
[1] Tsinghua University,Department of Mathematical Science
[2] Chinese Academy of Sciences,Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science
[3] University of Chinese Academy of Sciences,School of Mathematical Sciences
来源：
Journal of Systems Science and Complexity | 2021年 / 34卷
关键词：
Nonlinear elasticity; thin shell; time-dependent von Kármán equations;
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 shell is considered, as the thickness h of the shell tends to zero. Given the appropriate scalings of the applied force and of the initial data in terms of h, it’s verified that three-dimesional solutions of the nonlinear elastodynamic equations converge to solutions of the time-dependent von KMorármMorán equations or dynamic linear equations for shell of arbitrary geometry.
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页码：465 / 482
页数：17
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