Abstract
Modeling the water flow in cohesive fracture is a fundamental issue in the crack growth simulation of cracked concrete gravity dams and hydraulic fracture problems. In this paper, a mathematical model is presented for the analysis of fracture propagation in the semi-saturated porous media. The solid behavior incorporates a discrete cohesive fracture model, coupled with the flow in porous media through the fracture network. The double-nodded zero-thickness cohesive interface element is employed for the mixed mode fracture behavior in tension and contact behavior in compression. The modified crack permeability is applied in fracture propagation based on the data obtained from experimental results to implement the roughness of fracture walls.
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References
Alonso EE, Gens A, Josa A (1990) A constitutive model for partially saturated soils. Geotechnique 40: 405–430
Barenblatt GI (1962) The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 7: 55–62
Baroghel-Bouny V, Mainguy M, Lassabatere T, Coussy O (1999) Characterization and identification of equilibrium and transfer moisture properties for ordinary and high-performance cementitious materials. Cem Conc Res 29: 1225–1238
Barton N, Bandis S, Bakhtar K (1985) Strength, deformation and conductivity coupling of rock joints. Int J Rock Mech Min Sci Geomech Abstr 22: 121–140
Bazant ZP, Li YN (1997a) Cohesive crack with rate-dependent opening and viscoelasticity: 1. Mathematical model and scaling. Int J Fract 86: 247–265
Bazant ZP, Li YN (1997b) Cohesive crack with rate-dependent opening and viscoelasticity: 2. Numerical algorithm, behavior and size effect. Int J Fract 86: 267–288
Bazant ZP, Planas J (1998) Fracture and size effect in concrete and other quasibrittle materials. CRC Press, New York
Biot MA (1941) General theory of three dimensional consolidation. J Appl Phys 12: 155–164
Birgisson B, Montepara A, Romeo E, Roncella R, Napier JAL, Tebaldi G (2008) Determination and prediction of crack patterns in hot mix asphalt (HMA) mixtures. Eng Frac Mech 75: 664–673
Boone TJ, Ingraffea AR (1990) A numerical procedure for simulation of hydraulically driven fracture propagation in poroelastic media. Int J Numer Analy Meth Geomech 14: 27–47
Brühwiler E, Saoma VE (1995a) Water fracture interaction in concrete. Part I: fracture properties. ACI Mater J 92: 296–303
Brühwiler E, Saoma VE (1995b) Water fracture interaction in concrete. Part II: hydrostatic pressure in cracks. ACI Mater J 92: 383–390
Camacho GT, Ortiz M (1996) Computational modeling of impact damage in brittle materials. Int J Solids Struct 33: 2899–2938
Dugdale DS (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8: 100–108
Gawin D, Schrefler BA (1996) Thermo-hydro-mechanical analysis of partially saturated porous materials. Eng Comput 13: 113–143
Ghaboussi J, Wilson EL (1973) Flow of compressible fluid in porous elastic media. Int J Numer Methods Eng 5: 419–442
Guiducci C, Pellegrino A, Radu JP, Collin F, Charlier R (2002) Numerical modeling of hydro-mechanical fracture behavior. In: Pande GN, Pietruszczak S (eds) Numerical models in geomechanics—NUMOG VIII. Swets & Zeitlinger, Amsterdam, pp 293–299
Hilleborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Conc Res 6: 773–782
Jenq Y, Shah SP (1991) Features of mechanics of quasi-brittle crack propagation in concrete. Int J Fract 51: 103–120
Khoei AR (2005) Computational plasticity in powder forming processes. Elsevier, UK
Khoei AR, Azami AR, Haeri SM (2004) Implementation of plasticity based models in dynamic analysis of earth and rockfill dams: a comparison of Pastor-Zienkiewicz and cap models. Comput Geotech 31: 385–410
Khoei AR, Gharehbaghi SA, Azami AR, Tabarraie AR (2006) SUT-DAM: an integrated software environment for multi-disciplinary geotechnical engineering. Adv Eng Softw 37: 728–753
Khoei AR, Azadi H, Moslemi H (2008) Modeling of crack propagation via an automatic adaptive mesh refinement based on modified superconvergent patch recovery technique. Eng Fract Mech 75: 2921–2945
Khoei AR, Moslemi H, Majd Ardakany K, Barani OR, Azadi H (2009) Modeling of cohesive crack growth using an adaptive mesh refinement via the modified–SPR technique. Int J Fract 159: 21–41
Khoei AR, Barani OR, Mofid M (2010) Modeling of dynamic cohesive fracture propagation in porous saturated media. Int J Numer Anal Methods Geomech (in press)
Lewis RW, Schrefler BA (1998) The finite element method in the static and dynamic deformation and consolidation of porous media. John Wiley, New York
Liakopoulos AC (1965) Transient flow through unsaturated porous media. PhD thesis, University of California, Berkeley, CA
Meschke G, Grasberger S (2003) Numerical modeling of coupled hygromechanical degradation of cementitious materials. J Eng Mech 129: 383–392
Ng KLA, Small JC (1997) Behavior of joints and interfaces subjected to water pressure. Comput Geotech 20: 71–93
Ortiz M, Suresh S (1993) Statistical properties of residual stresses and intergranular fracture in ceramic materials. J Appl Mech 60: 77–84
Persson B (1997) Moisture in concrete subjected to different kinds of curing. Mater Struct 30: 533–544
Reinhardt HW, Sosoro M, Zhu X (1998) Cracked and repaired concrete subject to fluid penetration. Mater Struct 31: 74–93
Rescher OJ (1990) Importance of cracking in concrete dams. Eng Fract Mech 35: 503–524
Savage BM, Janssen DJ (1997) Soil physics principles validated for use in predicting unsaturated moisture movement in portland cement concrete. ACI Mater J 94: 63–70
Schrefler BA, Secchi S, Simoni L (2006) On adaptive refinement techniques in multi-field problems including cohesive fracture. Comput Methods Appl Mech Eng 195: 444–461
Secchi S, Simoni L, Schrefler BA (2007) Mesh adaptation and transfer schemes for discrete fracture propagation in porous materials. Int J Numer Anal Methods Geomech 31: 331–345
Segura JM, Carol I (2004) On zero-thickness elements for diffusion problems. Int J Numer Anal Methods Geomech 28: 947–962
Shum KM, Hutchinson JW (1990) On toughening by Micro-Cracks. Mech Mat 9: 83–91
Simoni L, Secchi S (2003) Cohesive fracture mechanics for a multi-phase porous medium. Eng Comput 20: 675–698
Sisavath S, Al-Yaarubi A, Pain C, Zimmerman RW (2003) A simple model for deviation from the cubic law for a fracture undergoing dilation or closure. Pure Appl Geophys 160: 1009–1022
Slowik V, Saouma VE (2000) Water pressure in propagating concrete cracks. J Struct Eng ASCE 126: 235–242
Song SH, Paulino GP, Buttlar WG (2006) A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material. Eng Fract Mech 73: 2829–2848
Spence DA, Sharp P (1985) Self-similar solutions for elasto-hydrodynamic cavity flow. Proc Royal Soc London A 400: 289–313
van Genuchten M (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci Soc Am J 44: 892–898
Witherspoon PA, Wang JSY, Iwai K, Gale JE (1980) Validity of cubic low for fluid flow in a deformable rock fracture. Water Resour Res 16: 1016–1024
Xu XP, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42: 1397–1434
Zhou F, Molinari JF (2004) Stochastic fracture of ceramics under dynamic tensile loading. Int J Solids Struct 41: 6573–6596
Zhou F, Molinari JF, Shioya T (2005) A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials. Eng Fract Mech 72: 1383–1410
Zhu X, Pekau OA (2007) Seismic behavior of concrete gravity dams with penetrated cracks and equivalent impact damping. Eng Struct 29: 336–345
Zienkiewicz OC, Xie YM, Schrefler BA, Ledesma A, Bicanic N (1990) Static and dynamic behavior of soils; a rational approach to quantitative solution. Part II. Semi-saturated problems. Proc Royal Soc London 311–321
Zienkiewicz OC, Chan AHC, Pastor M, Schrefler BA, Shiomi T (1999) Computational geomechanics with special reference to earthquake engineering. Wiley, London
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Barani, O.R., Khoei, A.R. & Mofid, M. Modeling of cohesive crack growth in partially saturated porous media; a study on the permeability of cohesive fracture. Int J Fract 167, 15–31 (2011). https://doi.org/10.1007/s10704-010-9513-6
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DOI: https://doi.org/10.1007/s10704-010-9513-6