摘要
近年来纤维压电复合材料的力电性能预测已发展为一个重要的研究领域.对力电耦合周期结构的复合材料问题,通过引入匹配的边界层得到了电势与位移解的新型双尺度有限元计算方法,建立了电势与位移的双尺度耦合关系,分析了双尺度有限元解的误差.数值算例验证了方法的有效性.
The prediction of the mechanical and electric properties of piezoelectric fibre composites had become an active research area in recent years.By means of introducing a boundary layer problem,some new kinds of two-scale finite element method for solutions of the electric potential and the displacement for composite material in periodic structure under coupled piezoelectricity were derived.The coupled two-scale relation of the electric potential and the displacement was set up.And some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.
出处
《应用数学和力学》
EI
CSCD
北大核心
2011年第12期1424-1438,共15页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10801042
11171257)
教育部博士点基金资助项目(20104410120001)
关键词
双尺度方法
压电
周期结构
有限元方法
均匀化常数
two-scale method
piezoelectricity
periodic structure
finite element method
homogenization constant
