The elastodynamic models and numerical problems
发布人: 曹思圆   发布时间: 2018-05-07   浏览次数: 10

报告时间:2018-5-7(周一)下午15:00-16:00

报告地点:华东师范大学闵行校区数学楼102报告厅

报告人:沈晓芹

主持人:朱升峰


报告人简介:
沈晓芹,西安理工大学教授,陕西省特支计划青年拔尖人才,陕西高校杰出青年人才,陕西省青年科技新星,瑞士洛桑联邦理工学院(EPFL)访问学者。主要研究方向:弹性壳体数学模型、数值计算及其在生物医学领域的应用。目前已在国际国内重要学术期刊发表学术论文20余篇。主持国家自然科学基金面上项目、青年项目、天元专项共3项,主持省部级、厅局级其他项目6项。


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.