弹塑性复合材料多尺度计算的模型与算法研究

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)与教育部骨干教师基金资助课题

详细信息

NUMERICAL MODEL AND ALGORITHM FOR MULTI-SCALE ANALYSIS OF ELASTIC-PLASTIC COMPOSITE MATERIALS

State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024,China

摘要

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。
- 弹塑性材料 /
- 单胞 /
- 多级分析 /
- 均匀化
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.
- elastic-plastic material /
- unit cell /
- multi-scale analysis /
- homogenization