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A micro–macro model of pore pressure effect on shear fracture in brittle rocks under compression

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Abstract

A micro–macro model is presented for predicting the high pore pressure effect on shear failure properties of brittle rocks under triaxial compressive loadings. This model is established by the use of the improved microcrack growth model considering the pore pressure effect, the established micro–macro damage relation, and the Mohr–Coulomb failure model. The improved model of microcrack growth introduces the pore pressure weakening effect on the normal stress acting on the initial crack plane and the pore pressure strengthening effect on the tensile force acting on the newly generated wing crack surface. The reasonability of suggested stress–strain curves under different pore pressures is verified by comparing with the experimental results. The influences of pore pressure and confining pressure on the axial peak strength, axial peak strain, shear failure plane angle, shear strength, cohesion, and internal friction angle are discussed. The peak compressive strength, peak axial strain, peak crack length, shear failure plane angle, shear strength, cohesion, and internal friction angle all descend nonlinearly with an increment of pore pressure.

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Acknowledgements

This work was financially supported by the Scientific Research Program of Beijing Municipal Education Commission (Grant No. KM202110016014), the National Natural Science Foundation of China (Grant Nos. 51708016, 12172036) and the Pyramid Talent Training Project of Beijing University of Civil Engineering and Architecture (Grant No. JDYC20200307).

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Funding was provided by National Natural Science Foundation of China (Grant Number 51708016).

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Correspondence to Xiaozhao Li.

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Li, X., Jia, Y., Zhang, Q. et al. A micro–macro model of pore pressure effect on shear fracture in brittle rocks under compression. Arch Appl Mech 92, 1157–1165 (2022). https://doi.org/10.1007/s00419-022-02141-1

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