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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摘要研究受压情况下T应力对闭合裂纹断裂行为的影响。首先，根据裂纹表面的应力边界条件和Muskhelishvili基本理论得到裂纹尖端附近应力的理论解；其次，采用中心闭合裂纹砂岩试件进行单轴压缩试验，并将砂岩试件和PMMA试件起裂角的实验结果与理论值进行对比，验证该理论解的有效性。结果表明压缩荷载作用下，闭合裂纹尖端的应力应同时包含应力强度因子K的奇异项和3个T应力分量(Tx，Ty和Txy)的非奇异项；且引入3个T应力分量(Tx，Ty和Txy)的理论预测值能更好的吻合砂岩和PMMA试件的实验结果。通过理论分析可得：(1) 忽略T应力将增大裂纹尖端的周向应力并减小起裂角；(2) 考虑T应力影响时，包含3个T应力分量(Tx，Ty和Txy)的起裂角预测值介于只考虑Tx与考虑Tx和Ty两种情况下的理论值之间。因此闭合裂纹尖端存在3个T应力分量(Tx，Ty和Txy)，且这3个分量对闭合裂纹断裂行为有显著影响。

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	赵彦琳1
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	范勇1
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	朱哲明1
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	周昌林1
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	邱豪1
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关键词 ：岩石力学, 闭合裂纹, T应力, 应力强度因子, 起裂角

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

引用本文:

赵彦琳1，2，范勇1，2，朱哲明1，2，周昌林1，2，邱豪1，2. T应力对闭合裂纹断裂行为的理论和实验研究[J]. 岩石力学与工程学报, 2018, 37(6): 1340-1349.
ZHAO Yanlin1，2，FAN Yong1，2，ZHU Zheming1，2，ZHOU Changlin1，2，QIU Hao1，2. Analytical and experimental study on the effect of T-stress on behavior of closed cracks. , 2018, 37(6): 1340-1349.

链接本文:

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

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