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复合材料弹性结构的高精度多尺度算法与数值模拟 被引量:9

MULTISCALE HIGH ACCURACY ALGORITHM AND NUMERICAL SIMULATION FOR ELASTIC STRUCTURES OF COMPOSITE MATERIALS WITH A PERIODIC CONFIGURATION
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摘要 Multiscale asymptotic expansion for the solution of elastic structures of compos- ite materials is presented over general convex domains by constructing boundary layer properly. And the multiscale FE computing scheme and the post-processing technique with high accuracy are proposed. Finally, Numerical experiments sup- port strongly the theoretical results reported in this paper. Multiscale asymptotic expansion for the solution of elastic structures of compos- ite materials is presented over general convex domains by constructing boundary layer properly. And the multiscale FE computing scheme and the post-processing technique with high accuracy are proposed. Finally, Numerical experiments sup- port strongly the theoretical results reported in this paper.
出处 《计算数学》 CSCD 北大核心 2001年第3期369-384,共16页 Mathematica Numerica Sinica
基金 湖南省自然科学基金(99JJY 2004) 国家自然科学基金资助 国家重大基础规划项目(973项目) 国家自然科学基金重点
关键词 多尺度分析 复合材料 周期结构 高精度算法 数值算法 弹性结构 数值模拟 弹性方程组 边值问题 周期解 误差分析 multiscale analysis, elastic structure of composite materials with a periodic configuration, high accuracy algo- rithm, numerical simulation
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  • 1Cui Junzhi,Invited Lecture on ECCS-I, Engineering Computation and Computer Simulation,1995年
  • 2朱起定,有限元超收敛理论,1989年
  • 3Cui J Z,Proc ’97 The Second China Australia Sympo Computational Mechanics),1997年
  • 4Cui J Z,J Comput Math,1996年,14卷,2期,159页
  • 5曹礼群,博士学位论文,1996年

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