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| Numerical simulation method for the domain with large number of random ellipse grains and their application |
| Received:January 06, 2011 Revised:August 16, 2011 |
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| DOI：10.7511/jslx20125004 |
| KeyWord:multi-phase composite material numerical simulation concrete specimens grading random distribution area |
| Author | Institution |
| 宋来忠 |
三峡大学 理学院, 宜昌 |
| 王乾峰 |
三峡大学 土木与建筑学院, 宜昌 |
| 彭刚 |
三峡大学 土木与建筑学院, 宜昌 |
| 姜袁 |
三峡大学 土木与建筑学院, 宜昌 |
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| Abstract: |
| Based on parameter equation of the ellipse.Firstly,the discrimination method for a point in and out the ellipse plane is given,and then the problem of calculating distance between the point and the elliptic is converted into a problem of seeking the minimum,so effective approximate solution can be gotten quickly by the search method.Thus,a new generation method for the domain with a large number of random ellipses is obtained,the basic idea is:(1) For the points randomly generated within the region,first,to determine whether the point is external to the generated ellipse,if so,to calculate the distance for it with all the boundary of generated ellipse; (2) If the distance is greater than or equal to the long axle of the wanted ellipse,then to build a new ellipse with that point as the center.In this way,there is no need to determine whether intersection or overlap between the ellipses with polygon covering,then the distance between the ellipse can be smaller (even zero),thereby increasing the density of elliptise in the simulated region.Test showed that for concrete,in a relatively short period of time,according to three grading that can generate aggregate content up to 70% of the simulated specimens,according to two grading that can generate aggregate content up to 60% of the simulated specimen.Finally,we made a simple mechanical loading experiments for the concrete specimens; the results show that the model generated by the method can meet the mechanical analysis.Further,based on the domain with large numbers of random ellipse,the parameterized irregularly aggregate mode with high content is given by the elliptical covering. |
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