摘要
本文将有限覆盖技术应用于颗粒增强复合材料的数值模拟。通过引入数学与物重网格,将有限元的插值域与积分域分别定义在两个不同的覆盖上,即在数学网格上进行插值函数的构造,在物理网格上完成系统能量泛函的积分运算,最后通过覆盖权函数将二者联结在一起。它的优点是单元网格划分随意,不受复杂边界形状和二相材料界面的限制,单元可以是任意形状,是较之于有限元方法更普遍的数值模拟方法。最后给出了有限元网格覆盖颗粒增强复合材料的数值模拟算例,并与现有的方法进行了比较和讨论。
In this paper finite cover technique is first used in simulating particle reinforced composites. Based on two meshes of mathematics and physics, domains of interpolation and integration are defined from two different covers respectively. At the core, two meshes are employed in the analysis. The mathematical mesh provides the domain of interpolation, while the physical mesh provides the domain of integration. Finally, two covers are connected by weighted covering function. The merit of this method is arbitrary mesh discretization and no constraints of complex geometrical shape and material interface. The numerical simulation is a more general method compared to the conventional finite element method. A numerical example is given and compared with the corresponding known results.
出处
《玻璃钢／复合材料》
CAS
CSCD
北大核心
2007年第2期7-11,共5页
Fiber Reinforced Plastics/Composites
关键词
有限覆盖技术
覆盖函数
复合材料
颗粒增强
数值模拟
finite cover technique
covered function
composite, particle reinforcement
numerical simulation
