Investigation on artificial boundary problem in the combined finite-discrete element method (FDEM)

Computers and Geotechnics - Tập 151 - Trang 104969 - 2022
Chenyu Xu1,2, Quansheng Liu1,2, Weiqiang Xie3, Yukai Wang4, Shiping Li4, Wanting Lu1,2, Haohao Zhang1,2
1The Key Laboratory of Safety for Geotechnical and Structural Engineering of Hubei Province, School of Civil Engineering, Wuhan University, Wuhan 430072, China
2State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
3State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
4China Railway Construction Engineering Group, Beijing 100160, China

Tài liệu tham khảo

Alterman, 1968, Propagation of elastic waves in layered media by finite difference methods, B. Seismol. Soc. Am., 1, 367 An, 2017, Hybrid finite-discrete element modelling of dynamic fracture and resultant fragment casting and muck-piling by rock blast, Comput. Geotech., 81, 322, 10.1016/j.compgeo.2016.09.007 An, 2021, Combined finite-discrete element modelling of dynamic rock fracture and fragmentation during mining production process by blast, Shock Vib., 2021, 1 Bai, 2019, A hydro-fracturing tester for rock saturated with controlled two-phase pore fluids, Rock Mech. Rock Eng., 52, 4147, 10.1007/s00603-019-01813-9 Bansal, 2008, Finite-difference modelling of S-wave splitting in anisotropic media, Geophys. Prospect., 56, 293, 10.1111/j.1365-2478.2007.00693.x Bao, 2012, A new viscous boundary condition in the two-dimensional discontinuous deformation analysis method for wave propagation problems, Rock Mech. Rock Eng., 10.1007/s00603-012-0245-y Bazyar, 2006, Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method, Earthq. Eng. Struct. D., 35, 1787, 10.1002/eqe.606 Bhasin, 2004, Static and dynamic simulation of a 700-m high rock slope in western Norway, Eng. Geol., 71, 213, 10.1016/S0013-7952(03)00135-2 Boore, 2001, Effect of baseline corrections on displacements and response spectra for several recordings of the 1999 Chi-Chi, Taiwan Earthquake. B. Seismol. Soc. Am., 91, 1199, 10.1785/0120000703 Cundall, 1980, NESSI-Soil Structure Interaction Program for Dynamic and Static Problems, Norwegian Geotechnical Institute. Deng, 2020, Time-dependent crack development processes around underground excavations, Tunn. Undergr. Sp. Tech., 103, 10.1016/j.tust.2020.103518 Doolin, 2005, Unified displacement boundary constraint formulation for discontinuous deformation analysis (DDA), Int. J. Numer. Anal. Met., 29, 1199, 10.1002/nag.454 Farsi, 2020, Simulation of fracture propagation in fibre-reinforced concrete using FDEM: an application to tunnel linings, Comput Part Mech, 7, 961, 10.1007/s40571-019-00305-5 Fu, 2015, Boundary setting method for the seismic dynamic response analysis of engineering rock mass structures using the discontinuous deformation analysis method, Int. J. Numer. Anal. Met., 39, 1693, 10.1002/nag.2374 Fukuda, 2019, Development of a GPGPU-parallelized hybrid finite-discrete element method for modeling rock fracture, Int. J. Numer. Anal. Met., 43, 1797, 10.1002/nag.2934 Fukuda, 2020, Development of a 3D hybrid finite-discrete element simulator based on GPGPU-parallelized computation for modelling rock fracturing under quasi-static and dynamic loading conditions, Rock Mech. Rock Eng., 53, 1079, 10.1007/s00603-019-01960-z Fukuda, 2020, Development of a numerical simulator for 3-D dynamic fracture process analysis of rocks based on hybrid FEM-DEM using extrinsic cohesive zone model, Mater. Trans., 61, 1767, 10.2320/matertrans.Z-M2020833 Gao, 2011, Study on transformation method for artificial boundaries in static-dynamic analysis of underground structure, J. Vib. Shock, 30, 165 Ha, 2021, Simulating tunnel support integrity using FEM and FDEM based on laboratory test data, Tunn. Undergr. Sp. Tech., 111, 10.1016/j.tust.2021.103848 Huang, 2017, Numerical simulation on seismic response of the filled joint under high amplitude stress waves using Finite-Discrete Element Method (FDEM), Materials, 10, 13, 10.3390/ma10010013 Jiao, 2007, Viscous boundary of DDA for modeling stress wave propagation in jointed rock, Int. J. Rock Mech. Mining Sci., 44, 1070, 10.1016/j.ijrmms.2007.03.001 Jing, 2002, Numerical methods in rock mechanics, Int. J. Rock Mech. Min., 39, 409, 10.1016/S1365-1609(02)00065-5 Keeper, 1984, Landslides caused by earthquakes, Geol. Soc. Am. Bull., 4, 406 Lei, 2020, A smooth contact algorithm for the combined finite discrete element method, Comput Part Mech, 7, 807, 10.1007/s40571-020-00329-2 Li, 2019, Seismic wave propagation characteristic and its effects on the failure of steep jointed anti-dip rock slope, Landslides, 16, 105, 10.1007/s10346-018-1071-4 Lisjak, 2011, Rock slope stability analysis under dynamic loading using a combined finite- discrete element approach, Proc Pan Am CGS Geotechnical Conf. Liu, 2021, A novel GPGPU-parallelized contact detection algorithm for combined finite-discrete element method, Int. J. Rock Mech. Min., 144 Liu, 1998, A direct method for analysis of dynamic soil-structure interaction based on interface idea - ScienceDirect, Developments in Geotechnical Engineering, 83, 261, 10.1016/S0165-1250(98)80018-7 Lysmer, 1969, Finite Dynamic Model for Infinite Media, J. Eng. Mech. Division, 95, 859, 10.1061/JMCEA3.0001144 Mahabadi, 2010, Y-GUI: A graphical user interface and pre-processor for the combined finite-discrete element code, Y2D, incorporating material heterogeneity, Comput. Geosci.-Uk, 36, 241, 10.1016/j.cageo.2009.05.010 Mahabadi, 2014, Influence of microscale heterogeneity and microstructure on the tensile behavior of crystalline rocks, J. Geophys. Res.: Solid Earth, 119, 5324, 10.1002/2014JB011064 Malama, 2003, Models for normal fracture deformation under compressive loading, Int. J. Rock Mech. Min., 40, 893, 10.1016/S1365-1609(03)00071-6 Moran, 1987, A finite-element formulation for transient analysis of viscoplastic solids with application to stress wave-propagation problems, Comput. Struct., 27, 241, 10.1016/0045-7949(87)90092-7 Munjiza, 1998, NBS contact detection algorithm for bodies of similar size, Int. J. Numer. Meth. Eng., 43, 131, 10.1002/(SICI)1097-0207(19980915)43:1<131::AID-NME447>3.0.CO;2-S Munjiza, 1995, A combined finite-discrete element method in transient dynamics of fracturing solids, Eng. Computation., 12, 145, 10.1108/02644409510799532 Munjiza, 1999, Challenges of a coupled combined finite-discrete element approach to explosive induced rock fragmentation, Fragblast: Int. J. Blasting Fragmentation, 3, 237, 10.1080/13855149909408048 Munjiza, 1999, Combined single and smeared crack model in combined finite-discrete element analysis, Int. J. Numer. Meth. Eng., 44, 41, 10.1002/(SICI)1097-0207(19990110)44:1<41::AID-NME487>3.0.CO;2-A Munjiza, A., 2004. The Combined Finite-Discrete Element Method. West Sussex, England ; Hoboken, NJ : Wiley, c2004., London. Ruggeri, 2020, Seismic and Rainfall Induced Displacements of an Existing Landslide: Findings from the Continuous Monitoring, Geosciences, 10, 90, 10.3390/geosciences10030090 Sun, 2022, Simulating the entire progressive failure process of rock slopes using the combined finite-discrete element method, Comput. Geotech., 141, 10.1016/j.compgeo.2021.104557 Wei, 2018, Three new boundary conditions for the seismic response analysis of geomechanics problems using the numerical manifold method, Int. J. Rock Mech. Min., 105, 110, 10.1016/j.ijrmms.2018.03.009 Wu, 2021, Effects of infilling materials on mechanical behaviors and cracking process of pre-cracked rock: Insights from a hybrid continuum-discontinuum method, Eng. Fract. Mech., 253, 10.1016/j.engfracmech.2021.107843 Xu, 2008, Dynamic response of slopes under earthquakes and influence of ground motion parameters, Chinese J. Geotechnical Eng., 06, 918 Xu, 2022, Numerical study on P-wave propagation across the jointed rock masses by the combined finite-discrete element method, Comput. Geotech., 142, 10.1016/j.compgeo.2021.104554 Xu, 2008, Large-scale shaking table model test study on dynamic characteristics and dynamic responses of slope, Chinese J. Rock Mech. Eng., 03, 624 Yan, 2022, A 2D discrete moisture diffusion model for simulating desiccation fracturing of soil, Eng. Anal. Bound. Elem., 138, 42, 10.1016/j.enganabound.2022.02.006 Yan, 2020, Calibration of Microscopic Penalty Parameters in the Combined Finite-Discrete-Element Method, Int J. Geomech, 20 Yan, 2016, A two-dimensional coupled hydro-mechanical finite-discrete model considering porous media flow for simulating hydraulic fracturing, Int. J. Rock Mech. Min., 88, 115, 10.1016/j.ijrmms.2016.07.019 Yan, 2017, FDEM-flow3D: A 3D hydro-mechanical coupled model considering the pore seepage of rock matrix for simulating three-dimensional hydraulic fracturing, Comput. Geotech., 81, 212, 10.1016/j.compgeo.2016.08.014 Yan, 2021, A coupled contact heat transfer and thermal cracking model for discontinuous and granular media, Comput. Method. Appl. M., 375, 10.1016/j.cma.2020.113587 Yi, 1997, Frequency-dependent seismic anisotropy in fractured rock, Int. J. Rock Mech. Min., 34, 341 Zhang, 2012, Numerical Simulation of Seismic Slope Stability Analysis based on Tension-Shear Failure Mechanism, Geotech. Eng., 43, 18 Zhao, 2008, UDEC modelling on wave propagation across fractured rock masses, Comput. Geotech., 35, 97, 10.1016/j.compgeo.2007.01.001 Zhao, 2014, Application of the numerical manifold method for stress wave propagation across rock masses, Int. J. Numer. Anal. Met., 38, 92, 10.1002/nag.2209