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弹塑性复合材料多尺度计算的模型与算法研究
引用本文:张洪武,王鲲鹏.弹塑性复合材料多尺度计算的模型与算法研究[J].复合材料学报,2003,20(1):60-66.
作者姓名:张洪武  王鲲鹏
作者单位:大连理工大学,工程力学系,工业装备结构分析国家重点实验室,大连,116024
基金项目:国家自然科学基金(50178016,10225212),国家基础性发展规划项目(G1999032805),教育部骨干教师基金资助课题
摘    要:对材料非线性多级分析的计算模型与算法进行研究,重点是单胞分析算法构造问题。采用近似技术建立非线性分析的本征应变矩阵,使方法具有简单与实现方便的特点,在此基础上构造了针对弹塑性材料均匀化分析的一致性算法,以两种材料组成的复合材料为例进行了例题计算,验证了文中方法的有效性。并讨论了进一步值得研究的问题。

关 键 词:弹塑性材料  单胞  多级分析  均匀化
文章编号:1000-3851(2003)01-0060-07
收稿时间:2001-06-26
修稿时间:2001年6月26日

NUMERICAL MODEL AND ALGORITHM FOR MULTI-SCALE ANALYSIS OF ELASTIC-PLASTIC COMPOSITE MATERIALS
ZHANG Hongwu,WANG Kunpeng.NUMERICAL MODEL AND ALGORITHM FOR MULTI-SCALE ANALYSIS OF ELASTIC-PLASTIC COMPOSITE MATERIALS[J].Acta Materiae Compositae Sinica,2003,20(1):60-66.
Authors:ZHANG Hongwu  WANG Kunpeng
Affiliation:State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024,China
Abstract:This paper takes the study of the numerical model and the corresponding algorithm for multi-scale elastic-plastic analysis of composite materials. Main work is focused on the problem of unit cell analysis. A numerical technique with approximation to establish the eigen-strain matrices and the corresponding consistent algorithm are proposed to be easily implemented in the computer program. A numerical example for analysis of a composite material composed of two different materials is computed. Numerical results demonstrate the validity and efficiency of the theoretical work presented in this paper. Finally, some further works are discussed.
Keywords:elastic-plastic material  unit cell  multi-scale analysis  homogenization
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