Peridynamic simulation of the mechanical responses and fracturing behaviors of granite subjected to uniaxial compression based on CT heterogeneous data (original) (raw)
Hallbauer DK, Wagner H, Cook NGW (1973) Some observations concerning microscopic and mechanical behavior of quartzite specimens in stiff, triaxial compression tests. Int J Rock Mech Min Sci 10:713–726 Google Scholar
Tapponnier P, Brace WF (1976) Development of stress-induced microcracks in westerly granite. Int J Rock Mech Min Sci 13:103–112 Google Scholar
Kranz RL (1983) Microcracks in rocks - a review. Tectonophysics 100:449–480 Google Scholar
Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34:1165–1186 Google Scholar
Hajiabdolmajid V, Kaiser P (2003) Brittleness of rock and stability assessment in hard rock tunneling. Tunn Undergr Space Technol 18:35–48 Google Scholar
Zhou X-P, Zhang J-Z, Qian Q-H, Niu Y (2019) Experimental investigation of progressive cracking processes in granite under uniaxial loading using digital imaging and AE techniques. J Struct Geol 126:129–145 Google Scholar
Morgan SP, Johnson CA, Einstein HH (2013) Cracking processes in Barre granite: fracture process zones and crack coalescence. Int J Fract 180:177–204 Google Scholar
Feng X-T, Ding W, Zhang D (2009) Multi-crack interaction in limestone subject to stress and flow of chemical solutions. Int J Rock Mech Min Sci 46:159–171 Google Scholar
Nezhad MM, Zhu H, Ju JW, Chen Q (2016) A simplified multiscale damage model for the transversely isotropic shale rocks under tensile loading. Int J Damage Mech 25:705–726 Google Scholar
Yang S-Q, Liu X-R, Jing H-W (2013) Experimental investigation on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression. Int J Rock Mech Min Sci 63:82–92 Google Scholar
Zou C, Wong LNY (2014) Experimental studies on cracking processes and failure in marble under dynamic loading. Eng Geol 173:19–31 Google Scholar
Zhang Y, Wong LNY, Chan KK (2019) An extended grain-based model accounting for microstructures in rock deformation. J Geophys Res Solid Earth 124:125–148 Google Scholar
Dokhani V, Yu M, Bloys B (2016) A wellbore stability model for shale formations: accounting for strength anisotropy and fluid induced instability. J Nat Gas Sci Eng 32:174–184 Google Scholar
Liu HY, Kou SQ, Lindqvist PA, Tang CA (2007) Numerical modelling of the heterogeneous rock fracture process using various test techniques. Rock Mech Rock Eng 40:107–144 Google Scholar
Nezhad MM, Fisher QJ, Gironacci E, Rezania M (2018) Experimental study and numerical modeling of fracture propagation in shale rocks during Brazilian disk test. Rock Mech Rock Eng 51:1755–1775 Google Scholar
Tang CA, Liu H, Lee PKK, Tsui Y, Tham LG (2000) Numerical studies of the influence of microstructure on rock failure in uniaxial compression - Part I: effect of heterogeneity. Int J Rock Mech Min Sci 37:555–569 Google Scholar
Zeng X, Wei Y (2017) Crack deflection in brittle media with heterogeneous interfaces and its application in shale fracking. J Mech Phys Solids 101:235–249 MathSciNet Google Scholar
Duan K, Kwok CY (2015) Discrete element modeling of anisotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 78:46–56 Google Scholar
He J, Afolagboye LO (2018) Influence of layer orientation and interlayer bonding force on the mechanical behavior of shale under Brazilian test conditions. Acta Mech Sin 34:349–358 Google Scholar
Park B, Min K-B (2015) Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 76:243–255 Google Scholar
Tan X, Konietzky H, Fruehwirt T, Dinh QD (2015) Brazilian tests on transversely isotropic rocks: laboratory testing and numerical simulations. Rock Mech Rock Eng 48:1341–1351 Google Scholar
Xu G, He C, Chen Z, Su A (2018) Transverse isotropy of phyllite under brazilian tests: laboratory testing and numerical simulations. Rock Mech Rock Eng 51:1111–1135 Google Scholar
Yang S-Q, Huang Y-H (2014) Particle flow study on strength and meso-mechanism of Brazilian splitting test for jointed rock mass. Acta Mech Sin 30:547–558 Google Scholar
Hamdi P, Stead D, Elmo D (2015) Characterizing the influence of stress-induced microcracks on the laboratory strength and fracture development in brittle rocks using a finite-discrete element method-micro discrete fracture network FDEM-mu DFN approach. J Rock Mech Geotech Eng 7:609–625 Google Scholar
Cai M (2013) Fracture initiation and propagation in a Brazilian disc with a plane interface: a numerical study. Rock Mech Rock Eng 46:289–302 Google Scholar
Lisjak A, Grasselli G, Vietor T (2014) Continuum-discontinuum analysis of failure mechanisms around unsupported circular excavations in anisotropic clay shales. Int J Rock Mech Min Sci 65:96–115 Google Scholar
Lisjak A, Tatone BSA, Grasselli G, Vietor T (2014) Numerical modelling of the anisotropic mechanical behaviour of opalinus clay at the laboratory-scale using FEM/DEM. Rock Mech Rock Eng 47:187–206 Google Scholar
Mahabadi OK, Lisjak A, Munjiza A, Grasselli G (2012) Y-Geo: new combined finite-discrete element numerical code for geomechanical applications. Int J Geomech 12:676–688 Google Scholar
Zhang Y, Wong LNY (2018) A review of numerical techniques approaching microstructures of crystalline rocks. Comput Geosci 115:167–187 Google Scholar
Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364 Google Scholar
Huang X, Hanley KJ, O’Sullivan C, Kwok CY (2014) Exploring the influence of interparticle friction on critical state behaviour using DEM. Int J Numer Anal Meth Geomech 38:1276–1297 Google Scholar
Silling SA (2000) Reformulation of elasticity theory for discontinuities and long-range forces. J Mech Phys Solids 48:175–209 MathSciNetMATH Google Scholar
Silling SA, Askari E (2005) A meshfree method based on the peridynamic model of solid mechanics. Comput Struct 83:1526–1535 Google Scholar
Ha YD, Bobaru F (2010) Studies of dynamic crack propagation and crack branching with peridynamics. Int J Fract 162:229–244 MATH Google Scholar
Ren H, Zhuang X, Cai Y, Rabczuk T (2016) Dual-horizon peridynamics. Int J Numer Meth Eng 108:1451–1476 MathSciNet Google Scholar
Rabczuk T, Ren H (2017) A peridynamics formulation for quasi-static fracture and contact in rock. Eng Geol 225:42–48 Google Scholar
Ren H, Zhuang X, Rabczuk T (2017) Dual-horizon peridynamics: A stable solution to varying horizons. Comput Methods Appl Mech Eng 318:762–782 MathSciNetMATH Google Scholar
Madenci E, Dorduncu M, Gu X (2019) Peridynamic least squares minimization. Comput Methods Appl Mech Eng 348:846–874 MathSciNetMATH Google Scholar
Ren H, Zhuang X, Rabczuk T. (2020) A nonlocal operator method for solving partial differential equations. Comput Methods Appl Mech Eng 358
Ren H, Zhuang X, Rabczuk T (2020) A higher order nonlocal operator method for solving partial differential equations. Comput Methods Appl Mech Eng 367
Erdogan M, Mehmet D (2019) Peridynamic differential operator for numerical analysis.
Silling SA, Epton M, Weckner O, Xu J, Askari E (2007) Peridynamic states and constitutive modeling. J Elast 88:151–184 MathSciNetMATH Google Scholar
Madenci E, Dorduncu M, Barut A, Phan N (2018) A state-based peridynamic analysis in a finite element framework. Eng Fract Mech 195:104–128 Google Scholar
Gerstle W, Sau N, Silling S (2007) Peridynamic modeling of concrete structures. Nucl Eng Des 237:1250–1258 Google Scholar
Liu W, Hong JW. (2012) A coupling approach of discretized peridynamics with finite element method. Comput Methods Appl Mech Eng 245–246:163–175
Prakash N, Seidel GD. (2015) A novel two - Parameter linear elastic constitutive model for bond based peridynamics
Zhou XP, Shou YD (2017) Numerical simulation of failure of rock-like material subjected to compressive loads using improved peridynamic method. Int J Geomech 17:04016086.04016081–04016086.04016012
Zhou X-P, Gu X-B, Wang Y-T (2015) Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks. Int J Rock Mech Min Sci 80:241–254 Google Scholar
Oterkus S, Madenci E, Oterkus E (2017) Fully coupled poroelastic peridynamic formulation for fluid-filled fractures. Eng Geol 225:19–28 MATH Google Scholar
Yolum U, AT, Güler MA (2016) A peridynamic model for ductile fracture of moderately thick. Procedia Structural Integrity.
Wang Y, Zhou X, Wang Y, Shou Y (2018) A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids. Int J Solids Struct 134:89–115 Google Scholar
Zhu Q-z, Ni T (2017) Peridynamic formulations enriched with bond rotation effects. Int J Eng Sci 121:118–129 MathSciNetMATH Google Scholar
Ren H, Zhuang X, Rabczuk T (2016) A new peridynamic formulation with shear deformation for elastic solid. J Micromech Mole Phys 01
Madenci E, Barut A, Phan N (2021) Bond-based peridynamics with stretch and rotation kinematics for opening and shearing modes of fracture. J Peridyn Nonlocal Model 3:211–254 MathSciNet Google Scholar
Diana V, Casolo S (2019) A bond-based micropolar peridynamic model with shear deformability: elasticity, failure properties and initial yield domains. Int J Solids Struct 160:201–231 Google Scholar
Foster JT, Silling SA, Chen W. (2011) An energy based failure criterion for use with peridynamic states. J Multiscale Comput Eng
Zhang Y, Deng H, Deng J, Liu C, Yu S (2020) Peridynamic simulation of crack propagation of non-homogeneous brittle rock-like materials. Theor Appl Fract Mech 106
Huang D, Lu G, Wang C, Qiao P (2015) An extended peridynamic approach for deformation and fracture analysis. Eng Fract Mech 141:196–211 Google Scholar
Bobaru F, Yang M, Alves LF, Silling SA, Askari E, Xu J (2009) Convergence, adaptive refinement, and scaling in 1D peridynamics. Int J Numer Meth Eng 77:852–877 MATH Google Scholar
Wenke H, Doh HY, Florin B. (2011) Modeling dynamic fracture and damage in a fiber-reinforced composite lamina with peridynamics. J Multiscale Comput Eng
Wong TF, Wong RHC, Chau KT, Tang CA (2006) Microcrack statistics, Weibull distribution and micromechanical modeling of compressive failure in rock. Mech Mater 38:664–681 Google Scholar
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech Trans ASME 18:293–297 MATH Google Scholar
Shou Y, Zhou X (2019) A coupled thermomechanical nonordinary state-based peridynamics for thermally induced cracking of rocks. Fatigue Fract Eng Mater Struct 43:371–386 Google Scholar
Liu HY, Kou SQ, Lindqvist PA (2002) Numerical simulation of the fracture process in cutting heterogeneous brittle material. Int J Numer Anal Meth Geomech 26:1253–1278 MATH Google Scholar
Ouchi H, Katiyar A, York J, Foster JT, Sharma MM (2015) A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach. Comput Mech 55:561–576 MathSciNetMATH Google Scholar
Zhang HQ, Zhao ZY, Tang CA, Song L (2006) Numerical study of shear behavior of intermittent rock joints with different geometrical parameters. Int J Rock Mech Min Sci 43:802–816 Google Scholar
Parks ML, Littlewood DJ, Mitchell JA, Silling SA. (2012) Peridigm users' guide. V1.0.0. Office of Scientific & Technical Information Technical Reports.
Madenci E, Oterkus E (2014) Peridynamic theory and its applications. Springer, New York MATH Google Scholar
Dong B, Fang G, Liu Y, Dong P, Zhang J, Xing F et al (2017) Monitoring reinforcement corrosion and corrosion-induced cracking by X-ray microcomputed tomography method. Cem Concr Res 100:311–321 Google Scholar
McCullough EC (1975) Photon attenuation in computed tomography. Med Phys 2:307–320 Google Scholar
Hsieh CH (2012) procedure and analysis of mineral samples using high resolution x-ray micro tomography
Wang Y, Zhou X, Xu X (2016) Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics. Eng Fract Mech 163:248–273 Google Scholar
Kilic B, Madenci E (2010) An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory. Theor Appl Fract Mech 53:194–204 Google Scholar
Chang SH, Lee CI, Jeon S (2002) Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens. Eng Geol 66:79–97 Google Scholar
Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech Trans ASME 24:361–364 Google Scholar
Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44:997–1010 Google Scholar
Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet Granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659 Google Scholar
Mahabadi OK, Tatone BSA, Grasselli G (2014) Influence of microscale heterogeneity andmicrostructure on the tensile behavior of crystalline rocks. J Geophys Res-Solid Earth 119:5324–5341 Google Scholar
Hawkes I, Mellor M (1970) Uniaxial testing in rock mechanics laboratories. Eng Geol 4:177–180 Google Scholar
Gupta AS, Rao KS (2000) Weathering effects on the strength and deformational behaviour of crystalline rocks under uniaxial compression state. Eng Geol 56:257–274 Google Scholar
Basu A, Mishra DA, Roychowdhury K (2013) Rock failure modes under uniaxial compression, Brazilian, and point load tests. Bull Eng Geol Env 72:457–475 Google Scholar
Tang CA (1997) Numerical simulation of progressive rock failure and associated seismicity. Int J Rock Mech Min Sci 34:249–250 Google Scholar