改进的三维高精度通用单胞模型  

Efficient reformulation of 3-D high-fidelity generalized method of cells

作　　者：孙志刚[1] 高希光[1] 宋迎东[1] 胡绪腾[1] 

机构地区：[1]南京航空航天大学能源与动力学院,南京210016

出　　处：《航空动力学报》2008年第7期1318-1322,共5页Journal of Aerospace Power

基　　金：航空科学基金(01C52017;05C52013);国防973项目;博士点基金(20070287039)

摘　　要：基于复合材料细观力学周期性假设,对高精度通用单胞模型进行了改进,并推广到三维。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.改进的高精度通用单胞模型的求解方程数目减少了大约55%,求解时间缩短,并且消除了亚子胞的概念.算例分析表明该模型的计算结果与细观有限元结果具有较好的一致性.The efficient reformulation of 3-D high-fidelity generalized method of cells had been put forward. The model was presented based on the hypothesis of periodicity in composite microstructure. In this approach, surface-averaged quantities were the primary variables which replaced the coefficient of the displacement after the mechanical equations were analyzed and answered in microscopic elements. This reduced the number of equations involved and eliminate the concept of generic cells. Numerical results based on the model agrees well with available results from experiments and theoretical analysis.

关 键 词：复合材料 高精度通用单胞模型 平均量 细观力学 

分 类 号：TB33[一般工业技术—材料科学与工程]