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李友云,崔俊芝.具有大量椭圆颗粒/孔洞随机分布区域的计算机模拟及其改进三角形自动网格生成算法[J].计算力学学报,2004,21(5):540~545
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具有大量椭圆颗粒/孔洞随机分布区域的计算机模拟及其改进三角形自动网格生成算法
Computer simulation method for the domain with large numbers of random ellipse grains/cavities and the improving automatic trianglemesh generation algorithm
修订日期：2002-11-29
DOI：10.7511/jslx20045096
中文关键词: 多相复合材料初始网格随机括点自适应初始点拟一致初始点
英文关键词:multi\|phase composite materials,original mesh,randomly inserted points,adaptive original points,almost uniform original points
基金项目:国家自然科学基金重点项目(19932030)，国家重点基础研究专项经费资助项目.
李友云崔俊芝
[1]中国科学院数学与系统科学研究院计算数学与科学工程计算研究所,北京100080 [2]中国工程院院士,北京100080
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中文摘要:
针对颗粒／孔洞为椭圆形状并且呈随机分布的多相复合材料给出了一种计算机模拟方法，同时针对这样复杂的二维区域提供了一个改进的快速自动三角形网格剖分算法。最后用实例说明了算法的有效性。此算法可以推广到三维情形、裂纹材料等。
英文摘要:
In this paper, the computer simulation method for the composite material with large numbers of random ellipse grains/cavities is presented. Based on the ellipses covering the grains/cavities of any shape, we give one method to simulate the grains/cavities of any shape by shorting or longing the axis of the ellipse or cutting the ellipse boundary. At the same time, considering the difficulty of the other software such as Sap91, ANSYS and Matlab, etc. not to generate the mesh of the above domain with large number of grains/cavities, we give one improving algorithm of the automatically generate triangle mesh based on the P.L.Geoge algorithm. In the paper, for the different uses of the mesh, two kinds of boundary points (Adaptive original points, Almost original points) are described. Based on the different boundary points, we present the algorithm to generate the different mesh for the complicate domain with large number of grains/cavities. Some numerical experiments in the two-dimension domain illustrate that the algorithm is valid to simulate the composite materials with large numbers of random grains/cavities. The algorithm can be extended to deal with the materials with cracks and 3\|dimensional cases without any difficulty.
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