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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
引用本文:董纪伟,冯淼林,陈文,丁丹烨.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[J].材料科学与工程学报,2010,28(6).
作者姓名:董纪伟  冯淼林  陈文  丁丹烨
作者单位: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;上海飞机设计研究院,上海,200232
基金项目: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。

关 键 词:均匀化理论  细观应力  单胞  编织复合材料  弯曲

Homogenization-based Method for Simulating Micro Bending Stress of 3-D Braided Composites
DONG Ji-wei,FENG Miao-lin,CHEN Wen,DING Dan-ye.Homogenization-based Method for Simulating Micro Bending Stress of 3-D Braided Composites[J].Journal of Materials Science and Engineering,2010,28(6).
Authors:DONG Ji-wei  FENG Miao-lin  CHEN Wen  DING Dan-ye
Affiliation:DONG Ji-wei1,FENG Miao-lin1,CHEN Wen2,DING Dan-ye2(1.Department of Engineering Mechanics,School of Naval Architecture,Ocean , Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China,2.Shanghai Aircraft Design Research Institute,Shanghai 200232,China)
Abstract: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 diffe...
Keywords:homogenization method  micro stress  unit cell  braided composites  bending  
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