XFEM Simulation of Soil Crack Evolution Process Considering the Stress Concentration and Redistribution at the Crack Tip
Publication: International Journal of Geomechanics
Volume 22, Issue 9
Abstract
Cracks are one of the major characteristics of soil structure failure. Successfully performed numerical simulation of the soil crack evolution process is conducive to the prediction of potential dangers. In recent years, crack evolution simulation has been greatly facilitated in the field of fracture mechanics by the development of the extended finite-element method (XFEM). However, it is rarely used to simulate crack evolution in earth structures, because in most cases soil cannot be regarded as a quasi-brittle material. Based on the characteristics of stress concentration and redistribution at the tip of a soil crack revealed by numerical tests, this paper proposes a discriminating method for crack propagation that can reflect the influence of the stress field at the soil crack tip on the crack propagation direction, which is then coded to an XFEM program. Compared with existing methods, this new method is found to be more accurate and effective.
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Acknowledgments
This work was supported by the National Key Research and Development Program of China (Grant No. 2021YFC3090101) and the National Natural Science Foundation of China (Grant Nos. U1965206 and 51979143).
References
Belytschko, T., Y. Y. Lu, and L. Gu. 1994. “Element-free Galerkin methods.” Int. J. Numer. Methods Eng. 37 (2): 229–256. https://doi.org/10.1002/nme.1620370205.
Cundall, P. 1991. “Shear band initiation and evolution in frictional materials.” In Proc., Mechanics Computing in 1990’s and Beyond, 1279–1283. Reston, VA: ASCE.
Deb, D., and K. C. Das. 2010. “Extended finite element method for the analysis of discontinuities in rock masses.” Geotech. Geol. Eng. 28: 643–659. https://doi.org/10.1007/s10706-010-9323-7.
Jiang, H., and M. Xu. 2014. “DEM simulation of shearing rockfills along different stress paths.” In Geo-Shanghai 2014: Soil behavior and geomechanics, Geotechnical Special Publication 236, edited by X. Zhang, J. Chu, and R. Bulut, 456–464. Reston, VA: ASCE.
Jones, M. T., and P. E. Plassmann. 1997. “Adaptive refinement of unstructured finite-element meshes.” Finite Elem. Anal. Des. 25 (1): 41–60. https://doi.org/10.1016/S0168-874X(96)00039-X.
Krstic, B., B. Rasuo, D. Trifkovic, I. Radisavljevic, Z. Rajic, and M. Dinulovic. 2013. “An investigation of the repetitive failure in an aircraft engine cylinder head.” Eng. Fail. Anal. 34 (8): 335–349. https://doi.org/10.1016/j.engfailanal.2013.08.013.
Lu, Z., J. Xu, L. Wang, J. Zhang, and Y. Liu. 2015. “Curvilinear fatigue crack growth simulation and validation under constant amplitude and overload loadings.” J. Aerosp. Eng. 28 (1): 04014054. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000337.
Ma, G., X. An, and L. He. 2010. “The numerical manifold method: A review.” Int. J. Comput. Methods 07 (01): 1–32. https://doi.org/10.1142/S0219876210002040.
Ng, K., and Q. Dai. 2012. “Tailored extended finite-element model for predicting crack propagation and fracture properties within idealized and digital cementitious material samples.” J. Eng. Mech. 138 (1): 89–100. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000316.
Palmer, C., and J. R. Rice. 1973. “The growth of slip surfaces in the progressive failure of over-consolidated clay.” Proc., R. Soc. London, A Math. Phys. Sci. 332: 527–548. https://doi.org/10.1098/rspa.1973.0040.
Rashid, Y. R. 1968. “Ultimate strength analysis of prestressed concrete pressure vessels.” Nucl. Eng. Des. 7 (4): 334–344. https://doi.org/10.1016/0029-5493(68)90066-6.
Sanborn, S. E., and J. H. Prévost. 2011. “Frictional slip plane growth by localization detection and the extended finite element method (XFEM).” Int. J. Numer. Anal. Methods Geomech. 35 (11): 1278–1298. https://doi.org/10.1002/nag.958.
Shi, G. H. 1991. “Manifold method of material analysis.” In Proc., Trans. 9th Army Conf. Applied Mathematics and Computing, 57–76. Research Triangle Park, NC: U.S. Army Research Office.
Song, J.-H., P. M. A. Areias, and T. Belytschko. 2006. “A method for dynamic crack and shear band propagation with phantom nodes.” Int. J. Numer. Methods Eng. 67 (6): 868–893. https://doi.org/10.1002/nme.1652.
Vigneron, L. M., J. G. Verly, and S. K. Warfield. 2004. “On extended finite element method (XFEM) for modelling of organ deformations associated with surgical cuts.” In Vol. 3078. of Medical Simulation. ISMS 2004. Lecture Notes in Computer Science, edited by S. Cotin, and D. Metaxas, 134–143. Berlin: Springer.
Wang, X., J. Yu, Q. Li, Y. Yu, and H. Lv. 2022. “Study on the crack evolution process and stress redistribution near crack tip in soil.” Int. J. Geomech. 22 (1): 04021255. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002236.
Wang, X., P. Yu, J. Yu, Y. Yu, and H. Lv. 2018. “Simulated crack and slip plane propagation in soil slopes with embedded discontinuities using XFEM.” Int. J. Geomech. 18 (12): 04018170. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001290.
Yang, Y., X. Tang, H. Zheng, Q. Liu, and Z. Liu. 2018. “Hydraulic fracturing modeling using the enriched numerical manifold method.” Appl. Math. Modell. 53: 462–486. https://doi.org/10.1016/j.apm.2017.09.024.
Yu, J. L., Y. Z. Yu, B. Y. Zhang, and H. Lv. 2012. “Numerical simulation of the evolution of crack in soil slope.” [In Chinese.]. Eng. Mech. 29 (12): 165–171.
Zhang, Y., J. G. Wang, B. Y. Zhang, and Q. M. Li. 2009. “Meshless method for numerical simulation of crack propagation in earth dams.” [In Chinese.]. Chin. J. Geotech. Eng. 31 (5): 727–731.
Zhao, J., Y. Jiang, Y. Li, and X. Zhou. 2018. “Modeling fractures and barriers as interfaces for porous flow with extended finite-element method.” J. Hydrol. Eng. 23 (7): 04018024. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001641.
Zheng, H., Y. Yang, and G. Shi. 2019. “Reformulation of dynamic crack propagation using the numerical manifold method.” Eng. Anal. Boundary Elem. 105: 279–295. https://doi.org/10.1016/j.enganabound.2019.04.023.
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Received: Sep 15, 2021
Accepted: Apr 9, 2022
Published online: Jul 1, 2022
Published in print: Sep 1, 2022
Discussion open until: Dec 1, 2022
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