Development of a three-dimensional fracture model for the combined finite-discrete element method

[1]  J. Cosgrove,et al.  Fracture-pattern variations around a major fold and their implications regarding fracture prediction using limited data: an example from the Bristol Channel Basin , 2004, Geological Society, London, Special Publications.

[2]  B T Rosson,et al.  Numerical simulation of dolos drop tests , 1991 .

[3]  E. Eberhardt,et al.  Applications of Finite/Discrete Element Modeling to Rock Engineering Problems , 2013 .

[4]  M. Aliabadi.  Boundary Element Formulations in Fracture Mechanics , 1997 .

[5]  Chris J. Pearce,et al.  Computational aspects of the discontinuous deformation analysis framework for modelling concrete fracture , 1998 .

[6]  M. Kolluri,et al.  Irreversible mixed mode interface delamination using a combined damage-plasticity cohesive zone enabling unloading , 2013, International Journal of Fracture.

[7]  Giovanni Grasselli,et al.  Numerical Modelling of the Anisotropic Mechanical Behaviour of Opalinus Clay at the Laboratory-Scale Using FEM/DEM , 2012, Rock Mechanics and Rock Engineering.

[8]  Charles Fairhurst,et al.  On the validity of the ‘Brazilian’ test for brittle materials , 1964 .

[9]  J. Xiang,et al.  Modelling the Evolution of Fractures Using a Combined FEM-DEM Numerical Method , 2011 .

[10]  T. G. Sitharam,et al.  Practical Equivalent Continuum Model for Simulation of Jointed Rock Mass Using FLAC3D , 2007 .

[11]  Jean-François Remacle,et al.  Substructuring FE-XFE approaches applied to three-dimensional crack propagation , 2008 .

[12]  M. H. Aliabadi,et al.  BEM analysis of fracture problems in three-dimensional thermoelasticity using J-integral , 2001 .

[13]  Richard E. Goodman,et al.  Two dimensional discontinuous deformation analysis , 1985 .

[14]  J. Oliver.  MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 1: FUNDAMENTALS , 1996 .

[15]  D. Owen,et al.  Discrete fracture in quasi-brittle materials under compressive and tensile stress states , 2004 .

[16]  John-Paul Latham,et al.  On the validation of DEM and FEM/DEM models in 2D and 3D , 2009 .

[17]  A. Munjiza,et al.  The modelling of particle systems with real shapes , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[18]  B T Rosson,et al.  Dynamic response of dolos armor units to pendulum impact loads , 1993 .

[19]  Christopher C. Pain,et al.  Modelling of massive particulates for breakwater engineering using coupled FEMDEM and CFD , 2008 .

[20]  A. Frangi.  Fracture propagation in 3D by the symmetric Galerkin boundary element method , 2002 .

[21]  Joseph P. Morris,et al.  Simulations of Fracture and Fragmentation of Geologic Materials using Combined FEM/DEM Analysis , 2005 .

[22]  M. Aliabadi,et al.  BEM Implementation of the Energy Domain Integral for the Elastoplastic Analysis of 3D Fracture Problems , 1999 .

[23]  John A. Hudson,et al.  Discontinuity spacings in rock , 1976 .

[24]  J. Ramsay.  Folding and fracturing of rocks , 1967 .

[25]  M. Yan,et al.  Numerical modelling of brittle fracture and step-path failure: from laboratory to rock slope scale , 2008 .

[26]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments , 2010 .

[27]  Antonio Munjiza,et al.  Penalty function method for combined finite–discrete element systems comprising large number of separate bodies , 2000 .

[28]  J. E. Warren,et al.  The Behavior of Naturally Fractured Reservoirs , 1963 .

[29]  L. Wong,et al.  Crack Coalescence in Molded Gypsum and Carrara Marble: Part 1. Macroscopic Observations and Interpretation , 2009 .

[30]  Davide Elmo,et al.  Numerical Analysis of Block Caving-Induced Instability in Large Open Pit Slopes: A Finite Element/Discrete Element Approach , 2010 .

[31]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[32]  J. Monaghan,et al.  SPH elastic dynamics , 2001 .

[33]  D. Pollard,et al.  Explanation for fracture spacing in layered materials , 2000, Nature.

[34]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[35]  Christopher C. Pain,et al.  COUPLED FLUIDITY/Y3D TECHNOLOGY AND SIMULATION TOOLS FOR NUMERICAL BREAKWATER MODELLING , 2012 .

[36]  Doug Stead,et al.  Numerical Modelling of Brittle Rock Failure Using a Combined Finite-discrete Element Approach: Implications For Rock Engineering Design , 2003 .

[37]  Ted Belytschko,et al.  Fast methods for determining instabilities of elastic–plastic damage models through closed‐form expressions , 2010 .

[38]  M. Aliabadi,et al.  Three-dimensional boundary element analysis of fatigue crack growth in linear and non-linear fracture problems , 1999 .

[39]  D. Pollard,et al.  Fracture spacing in layered rocks: a new explanation based on the stress transition , 2000 .

[40]  Hans F. Burcharth,et al.  The Lessons From Recent Breakwater Failures: developments in breakwater design , 1987 .

[41]  Jeffrey A. Melby,et al.  MOVEMENT AND STATIC STRESS IN DOLOSSE: SIX YEARS OF FIELD MONITORING AT CRESCENT CITY , 1993 .

[42]  G. Howell,et al.  Drop Test of Dolos Armor Units , 1987 .

[43]  N. Price,et al.  Relationship between fracture spacing and bed thickness , 1981 .

[44]  Zdeněk P. Bažant,et al.  Fracture of rock: Effect of loading rate , 1993 .

[45]  Kenneth G. Nolte.  Fluid Flow Considerations in Hydraulic Fracturing , 1988 .

[46]  Davide Elmo,et al.  Damage characterization during laboratory strength testing: A 3D-finite-discrete element approach , 2014 .

[47]  Jeffrey A. Melby,et al.  IMPACT STRUCTURAL RESPONSE OF CORE-LOC , 1999 .

[48]  A. Munjiza,et al.  Mesh size sensitivity of the combined FEM/DEM fracture and fragmentation algorithms , 2002 .

[49]  David R. Owen,et al.  Parallelised finite/discrete element simulation of multi‐fracturing solids and discrete systems , 2001 .

[50]  Antonio Munjiza,et al.  Combined single and smeared crack model in combined finite-discrete element analysis , 1999 .

[51]  Lanru Jing,et al.  A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering , 2003 .

[52]  Patrick E. Farrell,et al.  Galerkin projection of discrete fields via supermesh construction , 2009 .

[53]  H. Ozturk,et al.  Development of a local degradation approach to the modelling of brittle fracture in heterogeneous rocks , 2003 .

[54]  T. Belytschko,et al.  Extended finite element method for three-dimensional crack modelling , 2000 .

[55]  B T Rosson,et al.  Dynamic response of dolos armor units to drop test impact loads , 1992 .

[56]  Gernot Beer,et al.  Numerical methods in rock mechanics , 1990 .

[57]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[58]  Jukka Tuhkuri,et al.  Pressure distributions and force chains during simulated ice rubbling against sloped structures , 2013 .

[59]  Herbert H. Einstein,et al.  Numerical modeling of fracture coalescence in a model rock material , 1998 .

[60]  Nick Barton,et al.  An improved model for hydromechanical coupling during shearing of rock joints , 2001 .

[61]  Robert W. Zimmerman,et al.  Estimating the Hydraulic Conductivity of Two-Dimensional Fracture Networks Using Network Geometric Properties , 2010, Transport in Porous Media.

[62]  Robert W. Zimmerman,et al.  Numerical simulation of multiple 3D fracture propagation using arbitrary meshes , 2011 .

[63]  Robert W. Zimmerman,et al.  Fracture and impulse based finite-discrete element modeling of fragmentation , 2013 .

[64]  M. H. Aliabadi,et al.  Mixed-mode J-integral method for analysis of 3D fracture problems using BEM , 1993 .

[65]  D. Lockner,et al.  Quasi-static fault growth and shear fracture energy in granite , 1991, Nature.

[66]  R. Bishop,et al.  Stress Waves in Solids , 1954, Nature.

[67]  K. Kobayashi,et al.  PROTOTYPE TESTING OF DOLOSSE TO DESTRUCTION , 1982 .

[68]  Hans F. Burcharth,et al.  Full-scale dynamic testing of Dolosse to destruction , 1980 .

[69]  A. A. Griffith.  The Phenomena of Rupture and Flow in Solids , 1921 .

[70]  T. Engelder,et al.  Joint development normal to regional compression during flexural-flow folding: the Lilstock buttress anticline, Somerset, England , 2001 .

[71]  Joseph W. Tedesco,et al.  Dynamic response of dolos armor units , 1987 .

[72]  Mikael Rinne,et al.  FRACOD Modeling of Rock Fracturing and Permeability Change in Excavation Damaged Zones , 2011 .

[73]  A. Munjiza,et al.  NBS contact detection algorithm for bodies of similar size , 1998 .

[74]  Jeffrey A. Melby,et al.  A TEN-YEAR HISTORY OF DOLOS MONITORING AT CRESCENT CITY , 1997 .

[75]  Hans F. Burcharth,et al.  STRESSES IN DOLOSSE , 1991 .

[76]  Pinnaduwa Kulatilake,et al.  Physical and particle flow modeling of jointed rock block behavior under uniaxial loading , 2001 .

[77]  A. Munjiza.  The Combined Finite-Discrete Element Method , 2004 .

[78]  D. Pollard,et al.  An experimental study of the relationship between joint spacing and layer thickness , 1995 .

[79]  Jan I. Israelsson.  Short Descriptions of UDEC and 3DEC , 1996 .

[80]  M. H. Aliabadi,et al.  THREE-DIMENSIONAL CRACK GROWTH SIMULATION USING BEM , 1994 .

[81]  O. K. Mahabadi,et al.  An Example of Realistic Modelling of Rock Dynamics Problems: FEM/DEM Simulation of Dynamic Brazilian Test on Barre Granite , 2010 .

[82]  Antonio Munjiza,et al.  Split Hopkinson Pressure Bar Experiment Simulation using MUNROU , 2013 .

[83]  W. F. Baird,et al.  Structural Modeling of Dolos Armor Units , 1990 .

[84]  Y. Tsuji,et al.  Discrete particle simulation of two-dimensional fluidized bed , 1993 .

[85]  M. H. Aliabadi,et al.  Three-dimensional BEM analysis for fatigue crack growth in welded components , 1997 .

[86]  Fei Wang,et al.  The modelling of multi‐fracturing solids and particulate media , 2004 .

[87]  Dimitrios Pavlidis,et al.  Modelling of fluid–solid interactions using an adaptive mesh fluid model coupled with a combined finite–discrete element model , 2012, Ocean Dynamics.

[88]  J. Byerlee.  Brittle-ductile transition in rocks , 1968 .

[89]  Malcolm Mellor,et al.  MEASUREMENT OF TENSILE STRENGTH BY DIAMETRAL COMPRESSION OF DISCS AND ANNULI , 1971 .

[90]  Gary L. Howell.  MEASUREMENTS OF FORCES ON DOLOS ARMOR UNITS AT PROTOTYPE SCALE , 1988 .

[91]  Jaap Weerheijm,et al.  Tensile failure of concrete at high loading rates : New test data on strength and fracture energy from instrumented spalling tests , 2007 .

[92]  K. T. Chau,et al.  Crack coalescence in a rock-like material containing two cracks , 1998 .

[93]  J. Rice.  A path-independent integral and the approximate analysis of strain , 1968 .

[94]  Antonio Rodríguez-Ferran,et al.  A new continuous-discontinuous damage model: cohesive cracks via an accurate energy-transfer process , 2014 .

[95]  Pedro P. Camanho,et al.  An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models , 2007 .

[96]  Hans F. Burcharth.  Material, Structural Design of Armour Units , 1983 .

[97]  Arttu Polojärvi,et al.  2D numerical simulations of ice rubble formation process against an inclined structure , 2011 .

[98]  O. K. Mahabadi,et al.  Y-Geo: New Combined Finite-Discrete Element Numerical Code for Geomechanical Applications , 2012 .

[99]  Seokwon Jeon,et al.  An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression , 2011 .

[100]  Hans F. Burcharth.  A Design Method for Impact-Loaded Slender Armour Units , 1981 .

[101]  J. R. D. Viso,et al.  Effect of the loading rate on the fracture behavior of high-strength concrete , 2013 .

[102]  Herbert H. Einstein,et al.  Fracture coalescence in rock-type materials under uniaxial and biaxial compression , 1998 .

[103]  D. Stead,et al.  Asperity Degradation and Damage in the Direct Shear Test: A Hybrid FEM/DEM Approach , 2008 .

[104]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[105]  Jae-Joon Song,et al.  Numerical simulation of a direct shear test on a rock joint using a bonded-particle model , 2009 .

[106]  A. A. Mirghasemi,et al.  Numerical simulation of particle breakage of angular particles using combined DEM and FEM , 2011 .

[107]  K. T. Chau,et al.  Analysis of crack coalescence in rock-like materials containing three flaws—Part I: experimental approach , 2001 .

[108]  John-Paul Latham,et al.  3D dynamics of discrete element systems comprising irregular discrete elements—integration solution for finite rotations in 3D , 2003 .

[109]  M. Aliabadi,et al.  Dual boundary element method for three-dimensional fracture mechanics analysis , 1992 .

[110]  T. Belytschko,et al.  Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model , 2002 .

[111]  P. Hennings,et al.  Complex fracture development related to stratigraphic architecture: Challenges for structural deformation prediction, Tensleep Sandstone at the Alcova anticline, Wyoming , 2009 .

[112]  M. Wheel,et al.  A geometrically versatile finite volume formulation for plane elastostatic stress analysis , 1996 .

[113]  Leopoldo Franco,et al.  Concrete strength and durability of prototype tetrapods and dolosse : results of field and laboratory tests , 2000 .

[114]  Glenn B Myrick,et al.  Monitoring of Dolos Armor Units at Crescent City, California , 2005 .

[115]  O. K. Mahabadi,et al.  A novel approach for micro‐scale characterization and modeling of geomaterials incorporating actual material heterogeneity , 2012 .

[116]  Mikael Rinne,et al.  A three-dimensional crack growth simulator with displacement discontinuity method , 2014 .

[117]  Zhaoxiu Jiang,et al.  Dynamic Fracture Behaviors of Selected Aluminum Alloys Under Three-point Bending , 2013 .

[118]  J. Latham,et al.  Effects of geomechanical changes on the validity of a discrete fracture network representation of a realistic two-dimensional fractured rock , 2014 .

[119]  Jiansheng Xiang,et al.  Numerical simulation of breakages of concrete armour units using a three-dimensional fracture model in the context of the combined finite-discrete element method , 2015 .

[120]  O. K. Mahabadi,et al.  Y-GUI: A graphical user interface and pre-processor for the combined finite-discrete element code, Y2D, incorporating material heterogeneity , 2010, Comput. Geosci..

[121]  G. Timco.  On the stability criterion for fracture in dolos-armoured breakwaters , 1984 .

[122]  Paul W. Cleary,et al.  Effect of rock shapes on brittle fracture using Smoothed Particle Hydrodynamics , 2010 .

[123]  Patrick E. Farrell,et al.  Conservative interpolation between volume meshes by local Galerkin projection , 2011 .

[124]  C. Tang,et al.  Rock failure mechanisms : explained and illustrated , 2010 .

[125]  D. Owen,et al.  A combined finite‐discrete element method in transient dynamics of fracturing solids , 1995 .

[126]  Giovanni Grasselli,et al.  Continuum–discontinuum analysis of failure mechanisms around unsupported circular excavations in anisotropic clay shales , 2014 .

[127]  John Hadjigeorgiou,et al.  Stability analysis of vertical excavations in hard rock by integrating a fracture system into a PFC model , 2009 .

[128]  Horacio Florez,et al.  Simulation Of Flow In Discrete Deformable Fractured Porous Media , 2011, ANSS 2011.

[129]  F. Fischer,et al.  A new view on J-integrals in elastic–plastic materials , 2014, International Journal of Fracture.

[130]  J. A. Zwamborn,et al.  STABILITY AND STRUCTURAL BEHAVIOUR OF STRENGTH IMPROVED DOLOSSE , 1988 .

[131]  N. Monteiro Azevedo,et al.  Hybrid discrete element/finite element method for fracture analysis , 2006 .

[132]  Dr Roger Maddrell.  Re-Learnt from the Failure of Marine Structures , 2007 .

[133]  F. Hauser,et al.  Deformation and Fracture Mechanics of Engineering Materials , 1976 .

[134]  Huajian Gao,et al.  Physics-based modeling of brittle fracture: Cohesive formulations and the application of meshfree methods , 2000 .

[135]  David E. Lambert,et al.  Strain rate effects on dynamic fracture and strength , 2000 .

[136]  B.H.G. Brady,et al.  Hybrid distinct element-boundary element analysis of jointed rock , 1986 .

[137]  V. S. Vutukuri,et al.  Handbook on mechanical properties of rocks. Testing techniques and results. Volume 1. Textbook : 200F, 30T, 260R. TRANS. TECH. PUBLICATIONS, V1, 1974, 300P , 1974 .

[138]  Hans F. Burcharth,et al.  On the determination of concrete armour unit stresses including specific results related to Dolosse , 1991 .

[139]  G. Grasselli,et al.  Influence of microscale heterogeneity and microstructure on the tensile behavior of crystalline rocks , 2014 .

[140]  Arttu Polojärvi,et al.  2D combined finite‐discrete element method to model multi‐fracture of beam structures , 2009 .

[141]  Attilio Frangi,et al.  BEM–FEM coupling for 3D fracture mechanics applications , 2003 .

[142]  J. Oliver.  MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 2: NUMERICAL SIMULATION , 1996 .

[143]  J. P. Harrison,et al.  Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions , 2002 .

[144]  R. J. Pine,et al.  A new discrete fracture modelling approach for rock masses , 2007 .

[145]  M. Blunt,et al.  Modelling stress-dependent permeability in fractured rock including effects of propagating and bending fractures , 2013 .

[146]  H. H. Einstein,et al.  Crack Coalescence in Molded Gypsum and Carrara Marble: Part 2—Microscopic Observations and Interpretation , 2008 .

[147]  Viggo Tvergaard,et al.  Flow Localization in the Plane Strain Tensile Test , 1981 .

[148]  Guowei Ma,et al.  Numerical simulation of compressive failure of heterogeneous rock-like materials using SPH method , 2011 .

[149]  J. Cosgrove,et al.  Analysis of geological structures , 1989 .

[150]  D. Borst,et al.  A NON-LINEAR FINITE ELEMENT APPROACH FOR THE ANALYSIS OF MODE-I FREE EDGE DELAMINATION IN COMPOSITES , 1993 .

[151]  Jiansheng Xiang,et al.  New modelling and analysis methods for concrete armour unit systems using FEMDEM , 2013 .

[152]  Antonio Bobet,et al.  Coalescence of multiple flaws in a rock-model material in uniaxial compression , 2002 .

[153]  Jiansheng Xiang,et al.  Finite strain, finite rotation quadratic tetrahedral element for the combined finite–discrete element method , 2009 .

[154]  S. Popovics.  Strength and Related Properties of Concrete: A Quantitative Approach , 1998 .

[155]  Jukka Tuhkuri,et al.  Parameter effects on simulated ice rubbling forces on a wide sloping structure , 2012 .

[156]  B. Atkinson.  Fracture Mechanics of Rock , 1987 .

[157]  Bernhard A. Schrefler,et al.  A method for 3-D hydraulic fracturing simulation , 2012, International Journal of Fracture.

[158]  Shaoquan Kou,et al.  Crack propagation and coalescence in brittle materials under compression , 1998 .

[159]  B T Rosson,et al.  Static stresses in dolos concrete armor units , 1992 .

[160]  Nuri Ali Akcin,et al.  Numerical simulation of rock cutting using the discrete element method , 2011 .

[161]  Satya N. Atluri,et al.  SGBEM (for Cracked Local Subdomain) -- FEM (for uncracked global Structure) Alternating Method for Analyzing 3D Surface Cracks and Their Fatigue-Growth , 2002 .

[162]  F. E. Heuze,et al.  Simulations of Underground Structures Subjected to Dynamic Loading Using the Distinct Element Method , 2004 .

[163]  Wei-Ming Lin,et al.  THE STRUCTURAL RESPONSES OF DOLOS ARMOR UNITS UNDER THE DYNAMIC LOADING , 1986 .

[164]  D. N. Whittles,et al.  Laboratory and numerical investigation into the characteristics of rock fragmentation , 2006 .

[165]  Antonio Munjiza,et al.  Validation of a three-dimensional Finite-Discrete Element Method using experimental results of the Split Hopkinson Pressure Bar test , 2014 .

[166]  L. C. Schmidt,et al.  Rock fracture-toughness determination by the Brazilian test , 1993 .