随机颗粒复合材料模型生成与网格划分算法

THE GENERATION OF RANDOM PARTICLE COMPOSITE UNIT CELL MODEL AND MESHING

本文提出了一种针对多尺度复合材料二、三维单胞模型生成和网格划分算法.单胞模型生成使用紧凑算法和舍选算法.二维方法生成的椭圆数量大,而且随机性好;三维生成的椭球可以达到很高的体积分数.使用自适应折线逼近算法用多边形逼近椭圆、多面体逼近椭球,该方法能快速生成较好的质量网格.试验证明了该算法的有效性.

This paper proposes an algorithm for the generation and meshing of multi-scale com- posites 2D, 3D unit cell model. The generation of unit cell model uses compact and reject algorithm, we use ellipse, ellipsoid to represent its internal reinforcing particles. This algo- rithm could generate a large number of ellipses and high volume ratio of the unit cell with good randomness. When meshing, first we use adaptive line approximation algorithm that uses polygon to approximate the ellipse and polyhedron to approximate the ellipsoid. The Numerical experiments show that this algorithm generates high quality meshes in a very fast speed and the validity of the method.