报告主题：弹性动力学模型及数值问题
报告人：沈晓芹 教授 （西安理工大学）
报告时间：2018年 5月8日（周二）14:30
报告地点：校本部G507
邀请人：应时辉
主办部门：太阳成集团tyc33455数学系
报告摘要：The theory of elastic shells is one of the most important branches of the theory of elasticity. Among all the shell models, a classical and widely recognized model is the Koiter model. Under specific geometric assumptions, spatial assumptions and various boundary conditions, Ciarlet and his colleagues further classified the shell models into the membrane shell model and the flexural shell. In this talk, we discuss elastodynamic models, i.e., the time-dependent Koiter model, the time-dependent generalized membrane model and the time-dependent flexural model, which have not been addressed numerically. We show that the solutions of three models exist and are unique. We semi-discretize the space variables and fully discretize the problems using the time discretization by the Newmark scheme. The corresponding analyses of existence, uniqueness, stability, convergence and priori error estimates are given. Finally, we provide numerical experiments with several kinds of shells to demonstrate the efficiency of three models.
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