| 3-D distribution of tensile stress in rock specimens for the Brazilian test |
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| 引用本文： | Yong Yu Chunyan Meng. 3-D distribution of tensile stress in rock specimens for the Brazilian test[J]. 北京科技大学学报(英文版), 2005, 12(6): 495-499 |
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| 作者姓名： | Yong Yu Chunyan Meng |
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| 作者单位： | [1]Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China [2]Department of Computing Science, University of Alberta, Edmonton T6G 2C5, Canada |
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| 基金项目： | This work was financially supported by the Fundamental Science Research Fund of Southwest Jiaotong University （No.2004B13）. |
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| 摘 要： | It is claimed that the formula used for calculating the tensile strength of a disk-shaped rock specimen in the Brazilian test is not accurate, because the formula is based on the 2-dimensional elastic theory and only suitable for very long or very short cylinders. The Matlab software was used to obtain the 2-dimensional distribution of stress in the rock specimen for Brazilian test. Then the 2-dimensional stress distribution in Brazilian disk was analyzed by the Marc FEM software. It can be found that the results obtained by the two software packages can verify each other. Finally, the 3-dimensional elastic stress in the specimen was calculated. The results demonstrate that the distribution of stress on the cross section of the specimen is similar to that in 2-dimension. However, the value of the stress on the cross section varies along the thickness of the specimen and the stress is bigger when getting closer to the end of the specimen. For the specimen with a height-to-diameter ratio of 1 and a Poisson＇s ratio of 0.25, the tensile strength calculated with the classical 2-D formula is 23.3% smaller than the real strength. Therefore, the classical 2-D formula is too conservative.
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| 关 键 词： | 矿物学 岩样 抗张强度 巴西试验 三维分布 |
| 收稿时间： | 2005-01-22 |
3-D distribution of tensile stress in rock specimens for the Brazilian test |
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| Yong Yu,Chunyan Meng. 3-D distribution of tensile stress in rock specimens for the Brazilian test[J]. Journal of University of Science and Technology Beijing, 2005, 12(6): 495-499 |
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| Authors: | Yong Yu Chunyan Meng |
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| Abstract: | It is claimed that the formula used for calculating the tensile strength of a disk-shaped rock specimen in the Brazilian test is not accurate, because the formula is based on the 2-dimensional elastic theory and only suitable for very long or very short cylin- ders. The Matlab software was used to obtain the 2-dimensional distribution of stress in the rock specimen for Brazilian test. Then the 2-dimensional stress distribution in Brazilian disk was analyzed by the Marc FEM software. It can be found that the results obtained by the two software packages can verify each other. Finally, the 3-dimensional elastic stress in the specimen was calculated. The re- sults demonstrate that the distribution of stress on the cross section of the specimen is similar to that in 2-dimension. However, the value of the stress on the cross section varies along the thickness of the specimen and the stress is bigger when getting closer to the end of the specimen. For the specimen with a height-to-diameter ratio of 1 and a Poisson's ratio of 0.25, the tensile strength calculat- ed with the classical 2-D formula is 23.3% smaller than the real strength. Therefore, the classical 2-D formula is too conservative. |
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| Keywords: | Brazilian test tensile strength FEM rock Marc Matlab |
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