Abstract
This paper study the three-dimensional stress state of internal ellipse crack tip under uniaxial compression based on fracture theory, and the change law of crack tip deflection angle (θ) and torsion angle (Φ) can be calculated in agreement with the stress concentration factor χ. Instead of existing numerical computation methods (J-integral), the M-integral method was used to calculate the mixed mode fracture parameters (KI, KII, KIII), and achieve 3-D crack propagation depending on different fracture criterion. The results show that the variation trend of KII and KIII under the initial fracture state in keeping with the variation trend of deflection angle (θ) and torsion angle (Φ). It is further verified that the analytical solution of the fracture angle at the long axis end and the short axis end is in good accord with the numerical solution. The numerical simulation path shows that wrapping wing crack propagation occurs on the original crack surface. Along with the propagation, the crack tip gradually deflected towards the compression direction, which indentifies with experimentally obtained propagation path. This numerical simulation method has successfully realized the initiation and propagation of 3-D internal crack under uniaxial compression, and the proposed method can be used to simulate 3-D internal crack propagation path of brittle materials such as rock under uniaxial compression.
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Acknowledgements
The authors gratefully acknowledge Ms. Enbin Yang and Dr. Shuyang. Yu for their supports in this research program, and acknowledge the finances support provided by National Natural Science Foundation of China (Grant No. 51968074).
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ZZ wrote the manuscript and revised the manuscript; SY completed the method design; EY analyzed the data.
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Zhang, Z., Yu, S. & Yang, E. Theoretical and Numerical Study on Three-Dimensional Internal Crack Specimen Under Uniaxial Compression. Geotech Geol Eng 38, 4059–4072 (2020). https://doi.org/10.1007/s10706-020-01278-6
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DOI: https://doi.org/10.1007/s10706-020-01278-6