Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions
Tài liệu tham khảo
Segall, 1983, Nucleation and growth of strike slip faults in granite., J. Geophys. Res., 88, 555, 10.1029/JB088iB01p00555
Lavier, 2000, Factors controlling normal fault offset in an ideal brittle layer, J. Geophys. Res. Solid Earth, 105, 23431, 10.1029/2000JB900108
Bai, 2002, Orthogonal cross joints: Do they imply a regional stress rotation?, J. Struct. Geol., 24, 77, 10.1016/S0191-8141(01)00050-5
Choi, 2013, Using core complex geometry to constrain fault strength, Geophys. Res. Lett., 40, 3863, 10.1002/grl.50732
Wang, 1994, Wear processes during frictional sliding of rock: a theoretical and experimental study, J. Geophys. Res., 99, 6789, 10.1029/93JB02875
Menéndez, 1996, Micromechanics of brittle faulting and cataclastic flow in berea sandstone, J. Struct. Geol., 18, 1, 10.1016/0191-8141(95)00076-P
Paterson, 2005
Wang, 2018, A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning, Comput. Methods Appl. Mech. Engrg., 334, 337, 10.1016/j.cma.2018.01.036
Wang, 2019, Meta-modeling game for deriving theory-consistent, microstructure-based traction–separation laws via deep reinforcement learning, Comput. Methods Appl. Mech. Engrg., 346, 216, 10.1016/j.cma.2018.11.026
Rudnicki, 1980, Fracture mechanics applied to the earth’s crust., Ann. Rev. Earth Planetary sciences: volume 8, 8, 489, 10.1146/annurev.ea.08.050180.002421
Pollard, 1987, Theoretical displacements and stresses near fractures in rock: With applications to faults, joints, veins, dikes, and solution surfaces, 277
Aochi, 2000, Selectivity of spontaneous rupture propagation on a branched fault, Geophys. Res. Lett., 27, 3635, 10.1029/2000GL011560
Fliss, 2005, Fault branching and rupture directivity, J. Geophys. Res. Solid Earth, 110, 1
Ortiz, 1987, A finite element method for localized failure analysis, Comput. Methods Appl. Mech. Engrg., 61, 189, 10.1016/0045-7825(87)90004-1
Simo, 1993, A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials, Comput. Mech., 11, 253, 10.1007/BF00371865
Regueiro, 2001, Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity, Int. J. Solids Struct., 38, 3647, 10.1016/S0020-7683(00)00250-X
Linder, 2007, Finite elements with embedded strong discontinuities for the modeling of failure in solids, Internat. J. Numer. Methods Engrg., 72, 1391, 10.1002/nme.2042
Borja, 2008, Assumed enhanced strain and the extended finite element methods: A unification of concepts, Comput. Methods Appl. Mech. Engrg., 197, 2789, 10.1016/j.cma.2008.01.019
Wang, 2018, A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning, Comput. Methods Appl. Mech. Engrg., 334, 337, 10.1016/j.cma.2018.01.036
Wang, 2019, An updated Lagrangian LBM–DEM–FEM coupling model for dual-permeability fissured porous media with embedded discontinuities, Comput. Methods Appl. Mech. Engrg., 344, 276, 10.1016/j.cma.2018.09.034
Moës, 1999, A finite element method for crack growth without remeshing, Internat. J. Numer. Methods Engrg., 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
Prevost, 2016, Faults simulations for three-dimensional reservoir-geomechanical models with the extended finite element method, J. Mech. Phys. Solids, 86, 1, 10.1016/j.jmps.2015.09.014
Liu, 2019, Modeling branched and intersecting faults in reservoir-geomechanics models with the extended finite element method, Int. J. Numer. Anal. Methods Geomech., 43, 2075, 10.1002/nag.2949
Sun, 2017, Mixed arlequin method for multiscale poromechanics problems, Internat. J. Numer. Methods Engrg., 111, 624, 10.1002/nme.5476
De Borst, 2003, Numerical aspects of cohesive-zone models, Eng. Fract. Mech., 70, 1743, 10.1016/S0013-7944(03)00122-X
Park, 2011, Cohesive zone models: a critical review of traction-separation relationships across fracture surfaces, Appl. Mech. Rev., 64, 10.1115/1.4023110
Mota, 2008, Fracture and fragmentation of simplicial finite element meshes using graphs, Internat. J. Numer. Methods Engrg., 73, 1547, 10.1002/nme.2135
Mousavi, 2010, Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method, Comput. Methods Appl. Mech. Engrg., 199, 3237, 10.1016/j.cma.2010.06.031
Chevaugeon, 2013, Improved crack tip enrichment functions and integration for crack modeling using the extended finite element method, Int. J. Multiscale Comput. Eng., 11, 10.1615/IntJMultCompEng.2013006523
Linder, 2009, Finite elements with embedded branching, Finite Elem. Anal. Des., 45, 280, 10.1016/j.finel.2008.10.012
Stazi, 2003, An extended finite element method with higher-order elements for curved cracks, Comput. Mech., 31, 38, 10.1007/s00466-002-0391-2
Fournier, 2012, Insights to slip behavior on rough faults using discrete element modeling, Geophys. Res. Lett., 39, 10.1029/2012GL051899
Tomac, 2017, Coupled hydro-thermo-mechanical modeling of hydraulic fracturing in quasi-brittle rocks using BPM-dem, J. Rock Mech. Geotech. Eng., 9, 92, 10.1016/j.jrmge.2016.10.001
Xu, 2020, Discrete element modeling of transversely isotropic rocks with non-continuous planar fabrics under Brazilian test, Acta Geotech., 1
Aydin, 2006, Geological and mathematical framework for failure modes in granular rock, J. Struct. Geol., 28, 83, 10.1016/j.jsg.2005.07.008
Bourdin, 2008, The variational approach to fracture, Var. Approach Fract., 91, 1
Borden, 2012, A phase-field description of dynamic brittle fracture, Comput. Methods Appl. Mech. Engrg., 217–220, 77, 10.1016/j.cma.2012.01.008
Teichtmeister, 2017, Phase field modeling of fracture in anisotropic brittle solids, Int. J. Non-Linear Mech., 97, 1, 10.1016/j.ijnonlinmec.2017.06.018
Wu, 2018, A length scale insensitive phase-field damage model for brittle fracture, J. Mech. Phys. Solids, 119, 20, 10.1016/j.jmps.2018.06.006
Geelen, 2019, A phase-field formulation for dynamic cohesive fracture, Comput. Methods Appl. Mech. Engrg., 348, 680, 10.1016/j.cma.2019.01.026
Suh, 2019, An open-source fenics implementation of a phase field fracture model for micropolar continua, Int. J. Multiscale Comput. Eng., 17, 10.1615/IntJMultCompEng.2020033422
Suh, 2020, A phase field model for cohesive fracture in micropolar continua, Comput. Methods Appl. Mech. Engrg., 369, 10.1016/j.cma.2020.113181
Ambrosio, 2013, A variational model for plastic slip and its regularization viaγ-convergence, J. Elasticity, 110, 201, 10.1007/s10659-012-9390-5
Alessi, 2018, Comparison of phase-field models of fracture coupled with plasticity, 1
Fei, 2020, A phase-field method for modeling cracks with frictional contact, Internat. J. Numer. Methods Engrg., 121, 740, 10.1002/nme.6242
Ambrosio, 2013, A variational model for plastic slip and its regularization via Γ-convergence, J. Elasticity, 110, 201, 10.1007/s10659-012-9390-5
Ruina, 1983, Slip instability and state variable friction laws., J. Geophys. Res., 88, 10359, 10.1029/JB088iB12p10359
Dieterich, 1986, A model for the nucleation of earthquake slip, 37
Chester, 1994, Effects of temperature on friction: constitutive equations and experiments with quartz gouge, J. Geophys. Res., 99, 7247, 10.1029/93JB03110
Borja, 2007, Continuum mathematical modeling of slip weakening in geological systems, J. Geophys. Res. Solid Earth, 112, 549
Foster, 2007, Embedded strong discontinuity finite elements for fractured geomaterials with variable friction, Internat. J. Numer. Methods Engrg., 72, 549, 10.1002/nme.2020
Liu, 2009, An extended finite element framework for slow-rate frictional faulting with bulk plasticity and variable friction, Int. J. Numer. Anal. Methods Geomech., 33, 1535, 10.1002/nag.777
Ziaei-Rad, 2016, Identifying the crack path for the phase field approach to fracture with non-maximum suppression, Comput. Methods Appl. Mech. Engrg., 312, 304, 10.1016/j.cma.2016.08.025
Hu, 2020, A phase-field model of fracture with frictionless contact and random fracture properties: Application to thin-film fracture and soil desiccation, Comput. Methods Appl. Mech. Engrg., 368, 10.1016/j.cma.2020.113106
Forest, 2009, Micromorphic approach for gradient elasticity, viscoplasticity, and damage, J. Eng. Mech., 135, 117, 10.1061/(ASCE)0733-9399(2009)135:3(117)
Forest, 2016, Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage, Proc. R. Soc. A, 472, 10.1098/rspa.2015.0755
Miehe, 2016, Phase-field modelling of ductile fracture: A variational gradient-extended plasticity-damage theory and its micromorphic regularization, Phil. Trans. R. Soc. A, 374, 10.1098/rsta.2015.0170
Miehe, 2016, Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory, Int. J. Plast., 84, 1, 10.1016/j.ijplas.2016.04.011
Miehe, 2011, A multi-field incremental variational framework for gradient-extended standard dissipative solids, J. Mech. Phys. Solids, 59, 898, 10.1016/j.jmps.2010.11.001
Aldakheel, 2017, Micromorphic approach for gradient-extended thermo-elastic–plastic solids in the logarithmic strain space, Contin. Mech. Thermodyn., 29, 1207, 10.1007/s00161-017-0571-0
Eringen, 1968, Mechanics of micromorphic continua, 18
Ambrosio, 1990, Approximation of functional depending on jumps by elliptic functional via t-convergence, Comm. Pure Appl. Math., 43, 999, 10.1002/cpa.3160430805
Wilson, 2013, A phase-field model for fracture in piezoelectric ceramics, Int. J. Fract., 183, 135, 10.1007/s10704-013-9881-9
Choo, 2018, Coupled phase-field and plasticity modeling of geological materials: From brittle fracture to ductile flow, Comput. Methods Appl. Mech. Engrg., 330, 1, 10.1016/j.cma.2017.10.009
Simo, 1992, Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation, Comput. Methods Appl. Mech. Engrg., 98, 41, 10.1016/0045-7825(92)90170-O
Abbo, 1995, A smooth hyperbolic approximation to the mohr-Coulomb yield criterion, Comput. Struct., 54, 427, 10.1016/0045-7949(94)00339-5
Young, 2009, Liquefaction potential of coastal slopes induced by solitary waves, Acta Geotech., 4, 17, 10.1007/s11440-009-0083-6
Na, 2019, A configurational force for adaptive re-meshing of gradient-enhanced poromechanics problems with history-dependent variables, Comput. Methods Appl. Mech. Engrg., 357, 10.1016/j.cma.2019.112572
Bryant, 2019, A micromorphically regularized cam-clay model for capturing size-dependent anisotropy of geomaterials, Comput. Methods Appl. Mech. Engrg., 354, 56, 10.1016/j.cma.2019.05.003
Chester, 1992, Multimechanism friction constitutive model for ultrafine quartz gouge at hypocentral conditions, J. Geophys. Res., 97, 1859, 10.1029/91JB02349
Ben-Zion, 1995, Slip patterns and earthquake populations along different classes of faults in elastic solids, J. Geophys. Res., 100
Lapusta, 2000, Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction, J. Geophys. Res. Solid Earth, 105, 23765, 10.1029/2000JB900250
Rice, 2001, Rate and state dependent friction and the stability of sliding between elastically deformable solids, J. Mech. Phys. Solids, 49, 1865, 10.1016/S0022-5096(01)00042-4
Putelat, 2010, Regimes of frictional sliding of a spring-block system, J. Mech. Phys. Solids, 58, 27, 10.1016/j.jmps.2009.09.001
Putelat, 2011, On the microphysical foundations of rate-and-state friction, J. Mech. Phys. Solids, 59, 1062, 10.1016/j.jmps.2011.02.002
Borja, 2013, 255
Stesky, 1978, Mechanisms of high temperature frictional sliding in westerly granite., Can J. Earth Sci., 15, 361, 10.1139/e78-042
Scholz, 1972, Static fatigue of quartz, J. Geophys. Res., 77, 2104, 10.1029/JB077i011p02104
Liu, 2020, Shift boundary material point method: an image-to-simulation workflow for solids of complex geometries undergoing large deformation, Comput. Particle Mech., 7, 291, 10.1007/s40571-019-00239-y
Liu, 2020, Ils-mpm: an implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles, Comput. Methods Appl. Mech. Eng., 369, 113168, 10.1016/j.cma.2020.113168
Wang, 2020, A non-cooperative meta-modeling game for automated third-party calibrating, validating, and falsifying constitutive laws with parallelized adversarial attacks, Comput. Methods Appl. Mech. Eng.
Gurtin, 1996, Generalized ginzburg-landau and cahn-hilliard equations based on a microforce balance, Physica D, 92, 178, 10.1016/0167-2789(95)00173-5
Borden, 2016, A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects, Comput. Methods Appl. Mech. Engrg., 312, 130, 10.1016/j.cma.2016.09.005
Na, 2018, Computational thermomechanics of crystalline rock, part i: A combined multi-phase-field/crystal plasticity approach for single crystal simulations, Comput. Methods Appl. Mech. Engrg., 338, 657, 10.1016/j.cma.2017.12.022
Amor, 2009, Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments, J. Mech. Phys. Solids, 57, 1209, 10.1016/j.jmps.2009.04.011
McAuliffe, 2015, A unified model for metal failure capturing shear banding and fracture, Int. J. Plast., 65, 131, 10.1016/j.ijplas.2014.08.016
Bryant, 2018, A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics, Comput. Methods Appl. Mech. Engrg., 342, 561, 10.1016/j.cma.2018.08.008
Miehe, 2010, Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations, Internat. J. Numer. Methods Engrg., 83, 1273, 10.1002/nme.2861
Miehe, 2010, A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Comput. Methods Appl. Mech. Engrg., 199, 2765, 10.1016/j.cma.2010.04.011
Miehe, 2015, Phase field modeling of fracture in multi-physics problems. Part II. coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids, Comput. Methods Appl. Mech. Engrg., 294, 486, 10.1016/j.cma.2014.11.017
Wang, 2017, A unified variational eigen-erosion framework for interacting brittle fractures and compaction bands in fluid-infiltrating porous media, Comput. Methods Appl. Mech. Engrg., 318, 1, 10.1016/j.cma.2017.01.017
Stein, 2020, A smoothness energy without boundary distortion for curved surfaces, ACM Trans. Graph., 39, 1, 10.1145/3377406
Calakli, 2011, Ssd: Smooth signed distance surface reconstruction, Comput. Graph. Forum, 30, 1993, 10.1111/j.1467-8659.2011.02058.x
Lopez, 1999, Evaluation of methods for ridge and valley detection, IEEE Trans. Pattern Anal. Mach. Intell., 21, 327, 10.1109/34.761263
Cornelis, 2013, Crack detection and inpainting for virtual restoration of paintings: The case of the ghent altarpiece, Signal Process., 93, 605, 10.1016/j.sigpro.2012.07.022
López, 2000, Multilocal creaseness based on the level-set extrinsic curvature, Comput. Vis. Image Underst., 77, 111, 10.1006/cviu.1999.0812
Armero, 1992, A new unconditionally stable fractional step method for non-linear coupled thermomechanical problems, Internat. J. Numer. Methods Engrg., 35, 737, 10.1002/nme.1620350408
Armero, 1993, A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity, Int. J. Plast., 9, 749, 10.1016/0749-6419(93)90036-P
Bangerth, 2007, Deal.ii - -a general-purpose object-oriented finite element library, ACM Trans. Math. Software, 33, 24, 10.1145/1268776.1268779
White, 2008, Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients, Comput. Methods Appl. Mech. Engrg., 197, 4353, 10.1016/j.cma.2008.05.015
Choo, 2016, Hydromechanical modeling of unsaturated flow in double porosity media, Int. J. Geomech., 16, 10.1061/(ASCE)GM.1943-5622.0000558
Na, 2017, Computational thermo-hydro-mechanics for multiphase freezing and thawing porous media in the finite deformation range, Comput. Methods Appl. Mech. Engrg., 318, 667, 10.1016/j.cma.2017.01.028
Choo, 2018, Cracking and damage from crystallization in pores: Coupled chemo-hydro-mechanics and phase-field modeling, Comput. Methods Appl. Mech. Engrg., 335, 347, 10.1016/j.cma.2018.01.044
Borja, 2001, Strain localization in frictional materials exhibiting displacement jumps, Comput. Methods Appl. Mech. Engrg., 190, 2555, 10.1016/S0045-7825(00)00253-X
Horai, 1971, Thermal conductivity of rock-forming minerals, J. Geophys. Res., 76, 1278, 10.1029/JB076i005p01278
Cho, 2009, The thermal conductivity for granite with various water contents, Eng. Geol., 107, 167, 10.1016/j.enggeo.2009.05.012
Liu, 2008, A contact algorithm for frictional crack propagation with the extended finite element method, Internat. J. Numer. Methods Engrg., 76, 1489, 10.1002/nme.2376
Sanz, 2007, Mechanical aspects of thrust faulting driven by far-field compression and their implications for fold geometry, Acta Geotech., 2, 17, 10.1007/s11440-007-0025-0
Reyes, 1991, Failure mechanisms of fractured rock - a fracture coalescence model, 333
Bobet, 1998, Numerical modeling of fracture coalescence in a model rock material, Int. J. Fract., 92, 221, 10.1023/A:1007460316400
Dolbow, 2001, An extended finite element method for modeling crack growth with frictional contact, Comput. Methods Appl. Mech. Engrg., 190, 6825, 10.1016/S0045-7825(01)00260-2
Zhang, 2017, A modification of the phase-field model for mixed mode crack propagation in rock-like materials, Comput. Methods Appl. Mech. Engrg., 322, 123, 10.1016/j.cma.2017.04.028
Kunin, 1981, An algebra of tensor operators and its applications to elasticity, Internat. J. Engrg. Sci., 19, 1551, 10.1016/0020-7225(81)90078-1
Walpole, 1984, Fourth-rank tensors of the thirty-two crystal classes: multiplication tables, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 391, 149
Itskov, 2000, On the theory of fourth-order tensors and their applications in computational mechanics, Comput. Methods Appl. Mech. Engrg., 189, 419, 10.1016/S0045-7825(99)00472-7
Dutko, 1993, Universal anisotropic yield criterion based on superquadric functional representation: Part 1. Algorithmic issues and accuracy analysis, Comput. Methods Appl. Mech. Engrg., 109, 73, 10.1016/0045-7825(93)90225-M
Cuitino, 1992, A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics, Eng. Comput., 9, 437, 10.1108/eb023876
De Borst, 1994, A note on the calculation of consistent tangent operators for von mises and Drucker-Prager plasticity, Commun. Numer. Methods. Eng., 10, 1021, 10.1002/cnm.1640101208
De Souza Neto, 2008, 1
Pandolfi, 2012, An eigenerosion approach to brittle fracture, Internat. J. Numer. Methods Engrg., 92, 694, 10.1002/nme.4352