Analytical and experimental study on the effect of T-stress on behavior of closed cracks

被引:0
作者
Zhao Y. [1 ,2 ]
Fan Y. [1 ,2 ]
Zhu Z. [1 ,2 ]
Zhou C. [1 ,2 ]
Qiu H. [1 ,2 ]
机构
[1] Key Laboratory of Deep Underground Science and Engineering, Ministry of Education, Sichuan University, Chengdu, 610065, Sichuan
[2] College of Architecture and Environment, Sichuan University, Chengdu, 610065, Sichuan
来源
Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering | 2018年 / 37卷 / 06期
基金
中国国家自然科学基金;
关键词
Closed crack; Crack initiation angles; Rock mechanics; Stress intensity factor; T-stress;
D O I
10.13722/j.cnki.jrme.2017.1563
中图分类号
学科分类号
摘要
The effects of T-stress on the behavior of closed cracks under compression were investigated. According to the stress conditions on crack surfaces,the analytical solution of stresses near the crack tip was obtained through the Muskhelishvili method of complex functions. The rectangle specimens of sandstone with an inclined crack were tested under uniaxial compression. The calculated results were compared with the test results of sandstone specimens and the previous test results of PMMA specimens to validate the theoretical solutions. The analytical solution of stresses at the closed crack tips has two parts:the singularity terms which are the same as the traditional stresses expressed in terms of stress intensity factors K,and non-singularity terms expressed in terms of three components of T-stress,i.e. Tx,Ty and Txy. The theoretical results considering the three components Tx,Ty and Txy fit the test results of both PMMA and sandstone specimens better. The theoretical analysis shows that the tangential stress increases and initiation angles decreases when T-stresses are not considered. When T-stresses are considered,the predicted values which contain three T-stress components(Tx,Ty and Txy) are situated between the results which only consider Tx and the results which consider both Tx and Ty. Thus,the T-stress near crack tips should have three components Tx,Ty and Txy,and all of them affect the crack behavior obviously. © 2018, Science Press. All right reserved.
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页码:1340 / 1349
页数:9
相关论文
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  • [1] Chen M., Jin Y., Zhang G., Et al., Rock mechanics in petroleum engineering, pp. 255-258, (2008)
  • [2] Erdogan F., Sih G.C., On the crack extension in plates under plane loading and transverse shear, Journal of Basic Engineering, 85, 4, pp. 519-525, (1963)
  • [3] Ren L., Zhu Z., Wang M., Et al., Mixed-mode elastic-plastic fractures: improved R-criterion, Journal of Engineering Mechanics, 140, 6, (2014)
  • [4] Williams J.G., Ewing P.D., Fracture under complex stress-the angled crack problem, International Journal of Fracture, 8, 4, pp. 441-446, (1972)
  • [5] Ayatollahi M.R., Pavier M.J., Smith D.J., Mode I cracks subjected to large T-stresses, International Journal of Fracture, 117, 2, pp. 159-174, (2002)
  • [6] Ayatollahi M.R., Smith D.J., Pavier M.J., Crack-tip constraint in mode II deformation, International Journal of Fracture, 113, 2, pp. 153-173, (2001)
  • [7] Zhao Y., Chen J., Zhang H., Et al., Influence of T-stress on crack propagation for I-II mixed mode loading, Engineering Mechanics, 27, 4, pp. 5-12, (2010)
  • [8] Andrews R.M., Garwood S.J., An analysis of fracture under biaxial loading using the non-singular T-stress, Fatigue and Fracture of Engineering Materials and Structures, 24, 24, pp. 53-62, (2001)
  • [9] Mirsayar M.M., On fracture of kinked interface cracks-The role of T-stress, Materials and Design, 61, 9, pp. 117-123, (2014)
  • [10] Kachanov M.L., A microcrack model of rock in elasticity part I: Frictional sliding on microcracks, Mechanics of Materials, 1, 1, pp. 19-27, (1982)