The scale effect of rock joint shearing is of great significance in rock engineering. Most existing shear constitutive models could describe the pre- and post-peak deformation of rock joints, but only in one particular scale, that is, those existing models will fail to depict the rock joint shearing in different length scales. Therefore, this study aims to establish a constitutive relationship for rock joints with considering the scale effect. Based on the assumption of a random statistical distribution of rock material strength and statistical mesoscopic damage theory, damage variables are defined as the ratio of the number of damaged elements to the total number in the shear process. Together with the nonlinear relationship between the microelement failure and the joint scale, an empirical statistical constitutive relationship for joint is established. And then, the determination method of constitutive relationship parameters and the variation laws with the scale are discussed. Results show that the predicted results of the proposed empirical relationship not only agree well with the experimental results but also fully describe nonlinear deformation, pre-peak softening, post-peak softening, residual stage, and other mechanical properties of the shear deformation of joint with different dimensions, thereby demonstrating the rationality of the constitutive relationship. The physical meaning of the constitutive relationship parameters is clear, and the expressions of the constitutive relationship parameters can be deduced from the experimental results. In addition, the influence of scale effect on the shear deformation of rock joints can be quantified using parameters, which help accurately describe the action form of scale effect.

Accepted:

Published online:

Hang Lin ^{1};
Shijie Xie ^{1};
Rui Yong ^{2};
Yifan Chen ^{1};
Shigui Du ^{2}

@article{CRMECA_2019__347_8_561_0, author = {Hang Lin and Shijie Xie and Rui Yong and Yifan Chen and Shigui Du}, title = {An empirical statistical constitutive relationship for rock joint shearing considering scale effect}, journal = {Comptes Rendus. M\'ecanique}, pages = {561--575}, publisher = {Elsevier}, volume = {347}, number = {8}, year = {2019}, doi = {10.1016/j.crme.2019.08.001}, language = {en}, }

TY - JOUR AU - Hang Lin AU - Shijie Xie AU - Rui Yong AU - Yifan Chen AU - Shigui Du TI - An empirical statistical constitutive relationship for rock joint shearing considering scale effect JO - Comptes Rendus. Mécanique PY - 2019 SP - 561 EP - 575 VL - 347 IS - 8 PB - Elsevier DO - 10.1016/j.crme.2019.08.001 LA - en ID - CRMECA_2019__347_8_561_0 ER -

%0 Journal Article %A Hang Lin %A Shijie Xie %A Rui Yong %A Yifan Chen %A Shigui Du %T An empirical statistical constitutive relationship for rock joint shearing considering scale effect %J Comptes Rendus. Mécanique %D 2019 %P 561-575 %V 347 %N 8 %I Elsevier %R 10.1016/j.crme.2019.08.001 %G en %F CRMECA_2019__347_8_561_0

Hang Lin; Shijie Xie; Rui Yong; Yifan Chen; Shigui Du. An empirical statistical constitutive relationship for rock joint shearing considering scale effect. Comptes Rendus. Mécanique, Volume 347 (2019) no. 8, pp. 561-575. doi : 10.1016/j.crme.2019.08.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.08.001/

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