颗粒增强复合材料有限覆盖技术数值模拟研究  

NUMERICAL SIMULATION USING FINITE COVER TECHNIQUE IN PARTICLE REINFORCED COMPOSITES

作　　者：魏高峰[1] 高洪芬[2] 

机构地区：[1]山东轻工业学院机械工程学院,山东济南250100 [2]济南铁道职业技术学院机械系,山东济南250013

出　　处：《玻璃钢／复合材料》2007年第2期7-11,共5页Fiber Reinforced Plastics/Composites

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.

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 

分 类 号：O343.2[理学—固体力学]