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碰撞问题中非牛顿边界层计算
引用本文:侯磊,蔡立. 碰撞问题中非牛顿边界层计算[J]. 华东师范大学学报(自然科学版), 2008, 2008(5): 1-9
作者姓名:侯磊  蔡立
作者单位:上海大学,数学系,上海,200444;上海高校计算科学E-研究院,上海交通大学研究所,上海,200030;上海大学,数学系,上海,200444;上海大学,数学系,上海,200444
基金项目:国家自然科学基金,上海市教育委员会E-研究院计划项目,上海市浦江人才计划,上海市教育委员会重点课题
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.

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
收稿时间:2008-06-15
修稿时间:2008-07-20

Computational study on the non-Newtonian boundary-layer impact problem(Chinese)
HOU Lei,CAI Li. Computational study on the non-Newtonian boundary-layer impact problem(Chinese)[J]. Journal of East China Normal University(Natural Science), 2008, 2008(5): 1-9
Authors:HOU Lei  CAI Li
Affiliation:1.DepartmentofMathematics,ShanghaiUniversity,Shanghai200444,China; 2.E-instituteofShanghaiUniversitiesatSJTU,Shanghai200030,China
Abstract: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.
Keywords:elastic-plastics  impact  numerical simulation  singular perturbation  adaptive FEA  perturbation parameter
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