T应力对闭合裂纹断裂行为的理论和实验研究

doi:10.13722/j.cnki.jrme.2017.1563

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Abstract 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.

Key words： rock mechanics closed crack T-stress stress intensity factor crack initiation angles

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	Articles by authors
	ZHAO Yanlin1
	2
	FAN Yong1
	2
	ZHU Zheming1
	2
	ZHOU Changlin1
	2
	QIU Hao1
	2

Cite this article:

ZHAO Yanlin1,2,FAN Yong1, et al. Analytical and experimental study on the effect of T-stress on behavior of closed cracks[J]. , 2018, 37(6): 1340-1349.

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2017.1563 OR http://www.rockmech.org/EN/Y2018/V37/I6/1340

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