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颗粒增强复合材料有效模量的Voronoi单元有限元法分析
引用本文:黄永霞,郭然,李伟.颗粒增强复合材料有效模量的Voronoi单元有限元法分析[J].重庆大学学报(自然科学版),2016,39(5):63-72.
作者姓名:黄永霞  郭然  李伟
作者单位:昆明理工大学建筑工程学院,昆明,650500
基金项目:国家自然科学基金资助项目(KKGD201206020,KKGA201506009)。
摘    要:Voronoi单元有限元法在计算多相复合材料时比普通位移有限元法效率高,并且能够反映夹杂分布的随机性.用考虑界面脱层的Voronoi单元有限元法对代表性体积单元进行模拟得到应力场,再用直接均匀化方法进行平均,得到能够反映界面脱层对材料有效性能影响的平均应力-应变曲线和有效弹性模量.利用编写的可以对含任意夹杂代表性体积单元进行大规模计算的程序,对多个模型进行了数值模拟,分析了夹杂的形状、体积分数、空间分布等因素对材料有效弹性模量的影响,结果表明:具有较大有效弹性模量的模型一般在界面处有较大的应力集中,在加载过程中较早发生界面脱层.

关 键 词:颗粒增强复合材料  Voronoi单元有限元法  代表性体积单元  均匀化方法  有效弹性模量
收稿时间:2016/6/22 0:00:00

Finite element method based on Voronoi cell for the effective modulus of particle reinforced composites
HUANG Yongxi,GUO Ran and LI Wei.Finite element method based on Voronoi cell for the effective modulus of particle reinforced composites[J].Journal of Chongqing University(Natural Science Edition),2016,39(5):63-72.
Authors:HUANG Yongxi  GUO Ran and LI Wei
Institution:Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, P.R.China,Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, P.R.China and Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, P.R.China
Abstract:Finite element method based on interfacial debonding Voronoi cell, including random information of inclusion distribution, is more efficient than displacement finite element method in simulating multiphase composite. The finite element method based on interfacial debonding Voronoi cell was used to simulate the representative volume element(RVE) to obtain the stress field. And then the average stress-strain curve, which can reflect the influence of the interfacial debonding on the effective properties of the materials, and effective elastic modulus were obtained by using the direct homogenization method. We simulated several models using the program which can simulate the representative volume elements containing arbitrary inclusion on a large scale, and analyzed the influences of the shape, the volume fraction and the spatial distribution of inclution on the effective elastic modulus of the material. The results show that the model which has a large effective elastic modulus generally has a strong stress concentration at the interface, and the interfacial debonding occurs earlier during the loading process.
Keywords:particle reinforced composites  Voronoi element finite element method  representative volume element  homogenization method  effective elastic modulus
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