加筋材料的格形模型和统计数值方法  

Lattice Model and Statistical Numerical Methods for Reinforced Composite Materials

作　　者：陈永强[1] 姚振汉[1] 郑小平[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《力学季刊》2002年第3期315-322,共8页Chinese Quarterly of Mechanics

摘　　要：本文采用格形化方法和统计技术建立加筋复合材料有限元力学模型,使用自动选取载荷步长方法和非平衡迭代技术,对加筋复合材料的宏观等效模量和破坏全过程进行了数值模拟。分析了材料分布的非均匀程度、相对体积比和横截面加筋分布方式等对加筋复合材料整体宏观等效模量和承载力的影响。In this paper, the lattice approach and the statistical technique are used to establish the finite element model of the reinforced composite materials. The specimen is discritized into the lattice model. The material in each element is treated as homogeneous elastic. The material properties in different elements are specified according to the statistical distribution. The load-step size of each load stage is self-a-daptively determined so that only some specified element will fail before the stress redistribution may take place. When the displacement or loading increase gradually, discritized element fails one by one. By continually updating the stiffness matrix of algebraic equations, the relation curve of effective stress vs. strain of full failure process can be obtained. As examples of application, the effective elastic properties and failure process of the reinforced composite materials are numerically simulated. The effects of the heterogeneity on the effective properties and the failure process are analyzed, as well as the ratio by volume of reinforced constituent and matrix and distribution pattern of reinforced constituent in the cross-section.

关 键 词：加筋材料 格形模型 非均匀性 统计分布 数值模拟 有限元方法 非平衡迭代 

分 类 号：TB33[一般工业技术—材料科学与工程]