基于均匀化理论的三维编织复合材料弯曲细观应力数值模拟  

Homogenization-based Method for Simulating Micro Bending Stress of 3-D Braided Composites

作　　者：董纪伟[1] 冯淼林[1] 陈文[2] 丁丹烨[2] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院工程力学系,上海200240 [2]上海飞机设计研究院,上海200232

出　　处：《材料科学与工程学报》2010年第6期801-805,822,共6页Journal of Materials Science and Engineering

基　　金：国家自然科学基金资助项目(10772115)

摘　　要：从基于小参数渐近展开的多尺度均匀化理论出发,对三维编织复合材料的弯曲细观应力进行数值模拟。首先给出了等效弹性模量和细观应力的均匀化列式及有限元求解方程,然后讨论了三维编织复合材料细观单胞周期性边界条件的施加方法,最后对三点弯曲作用下三种单胞内应力分布进行了数值模拟。通过模拟比较了不同类型单胞及不同编织角材料弯曲应力的差异,总结出一些有益的结论,这些结论与实验结论都比较吻合。In order to simulate bending stress of 3D braided composites in the microscopic view,homogenization method based on the multi-scale perturbation theory was presented in this article.Homogenization formulations and their finite-element equations were firstly introduced,and then the problem of periodic boundary conditions applied for three kinds of unit cells were discussed.By this method,the micro stress under the loading of three point bending was simulated.From simulation,the micro bending stress for different kinds of unit cells and for composites with different braiding angles is different at all.Micro stress in face cell and corner cell is often much greater than that in body cell,and the maximum stress is in face cell.Furthermore,braiding angle has a large effect on the micro bending stress.The bending stress increases with increasing braiding angle,and the bending deflection has the same development.It is verified that 3D braided composites with a larger braiding angle have poorer bending strength but better ductility than the composites with a smaller braiding angle.

关 键 词：均匀化理论 细观应力 单胞 编织复合材料 弯曲 

分 类 号：TB330.1[一般工业技术—材料科学与工程]