| Mode II fracture analysis of double edge cracked circular disk subjected to different diametral compression |
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| 作者姓名： | 陈枫 曹平 饶秋华 徐纪成 |
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| 作者单位： | [1]SchoolofResourcesandSafetyEngineering,CentralSouthUniversity,Changsha410083,China [2]SchoolofResourcesandSafetyEngineering,Changsha410083,China [3]SchoolofCivilEngineering,Changsha410083,China |
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| 基金项目： | Project ( 5 0 2 740 74)supportedbytheNationalNaturalScienceFoundationofChinaandProject ( 0 2JJY40 5 0 )suportedby
NaturalScienceFoundationofHunanProvince |
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| 摘 要： | A detailed analysis of modeⅡstress intensity factors(SIFs) for the double edge cracked Brazilian disk subjected to different diametral compression is presented using a weight function method. The mode Ⅱ SIFs at crack tips can be obtained by simply calculating an integral of the product of mode Ⅱ weight function and the shear stress on the prospective crack faces of uncracked disk loaded by a diametral compression. A semi-analytical formula for the calculation of normalized mode Ⅱ SIF, fⅡ , is derived for different crack lengths (from 0.1 to 0.7) and inclination angles (from 10^。 to 75^。) with respect to loading direction. Comparison between the obtained results and finite element method solutions shows that the weight function method is of high precision. Combined with the authors‘ previous work on modeⅠfracture analysis, the new specimen geometry can be used to study fracture through any combination of mode Ⅰ and mode Ⅱ loading by a simple alignment of the crack relative to the diameter of compression loading, and to obtain pure mode Ⅱ crack extension. Another advantage of this specimen geometry is that it is available directly from rock core and is also easy to fabricate.
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| 关 键 词： | 磁盘 强度 重力作用 直径压缩 数值分析 |
| 收稿时间： | 29 March 2003 |
| 修稿时间： | 30 June 2003 |
Mode II fracture analysis of double edge cracked circular disk subjected to different diametral compression |
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| Chen Feng , Cao Ping , Rao Qiu-hua and Xu Ji-cheng.Mode II fracture analysis of double edge cracked circular disk subjected to different diametral compression[J].Journal of Central South University of Technology,2004,11(1):63-68. |
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| Authors: | Chen Feng Cao Ping Rao Qiu-hua and Xu Ji-cheng |
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| Affiliation: | (1) Testing Center, Central South University, 410083 Changsha, China;(2) School of Resources and Safety Engineering, Central South University, 410083 Changsha, China;(3) School of Civil Engineering, Central South University, 410083 Changsha, China |
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| Abstract: | A detailed analysis of mode II stress intensity factors(SIFs) for the double edge cracked Brazilian disk subjected to different
diametral compression is presented using a weight function method. The model II SIFs at crack tips can be obtained by simply
calculating an integral of the product of mode II weight function and the shear stress on the prospective crack faces of uncracked
disk loaded by a diametral compression. A semi-analytical formula for the calculation of normalized mode II SIF, f
II, is derived for different crack lengths (from 0.1 to 0.7) and inclination angles (from 10° to 75°) with respect to loading
direction. Comparison between the obtained results and finite element method solutions shows that the weight function method
is of high precision. Combined with the authors’ previous work on mode I fracture analysis, the new specimen geometry can
be used to study fracture through any combination of mode I and mode II loading by a simple alignment of the crack relative
to the diameter of compression loading, and to obtain pure mode II crack extension. Another advantage of this specimen geometry
is that it is available directly from rock core and is also easy to fabricate.
Foundation item: Project (50274074) supported by the National Natural Science Foundation of China and Project (02JJY4050) suported by Natural
Science Foundation of Hunan Province |
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| Keywords: | mode II fracture Brazilian disk rock weight function method diametral compression |
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