摘要
基于复合材料细观力学周期性假设,利用高阶理论的改进算法,对高精度通用单胞模型的计算方法进行了改进.模型中用界面的平均量代替细观位移函数中解系数,并利用细观单元力学方程的分析与求解,建立了细观平均量与复合材料宏观平均量间的联系.改进高精度通用单胞模型的求解方程数目减少了大约60%,求解时间大大缩短;并且消除了亚子胞的概念,同时解耦了横向与纵向的方程.该模型的计算结果与试验结果及理论计算结果具有较好的一致性.
The efficient reformulation of high-fidelity generalized method of cells making use of the efficient reformulation of higher-order theory is presented based on the hypothesis of periodicity in composite microstructure. In this approach, surface-averaged quantities are the primary variables which replace the coefficients of the displacement. This reduces the number of equations involved and aiminates the cancept of generic cells. The transverse and longitudinal variables are dis-coupled. Numerical results based on the model agree well with the available results from experiments and theoretical analyses.
出处
《固体力学学报》
CAS
CSCD
北大核心
2005年第2期235-240,共6页
Chinese Journal of Solid Mechanics
基金
航空科学基金(01C52017)资助.
关键词
复合材料
通用单胞模型
平均量
细观力学
周期性
composite, higher-order theory, high-fidelity generalized method of cells, surface-averaged quantities
