碰撞问题中非牛顿边界层计算  

Computational study on the non-Newtonian boundary-layer impact problem

作　　者：侯磊[1] 蔡立[1] 

机构地区：[1]上海大学数学系

出　　处：《华东师范大学学报（自然科学版）》2008年第5期1-9,共9页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(10871225);上海市教育委员会E-研究院计划项目(E03004);上海市浦江人才计划项目(PJ[2006]118);上海市教育委员会重点课题(J50101)

摘　　要：建模问题中关于碰撞安全移动边界层的数学模型是重要的课题,其中理解和运用非牛顿力学大变形理论乃解决当今科学工程计算中难题的有效途径.本文研究运用非线性计算方法模拟冲击碰撞时粘滞弹塑性材料的非牛顿力学现象,得到冲击碰撞应力场结果,并运用后估计算法结合高性能计算软件对其大变形流场及应力场的二维及三维模型进行了研究.Moving boundary-layer simulation in the crash safety analysis is one of the most important projects in mathematical modeling. The research on the theory and application for the complex non-Newtonian properties in various testing conditions have been interesting and difficult problems especially in the auto-crash safety engineering process. In this paper an application of boundary-layer computing for the non-Newtonian rate type impact hardening and shear thinning problems. The accurate mathematical prediction would supply ultimate research tool for the passive safety analysis in such scale. The posteriori estimate combined with HPC 2D/3D modeling technique would supply effective methods in the research.

关 键 词：弹塑性 冲击碰撞 数值模拟 奇异摄动 自适应有限元 实验扰动参数 

分 类 号：O242.21[理学—计算数学]