The effective compliance of spatially evolving planar wing-cracks

Journal of the Mechanics and Physics of Solids - Tập 111 - Trang 503-529 - 2018
R.S. Ayyagari1,2, N.P. Daphalapurkar3, K.T. Ramesh1,3
1Hopkins Extreme Materials Institute, Johns Hopkins University, Baltimore, MD 21218, USA
2Mechanical Engineering, Indian Institute of Technology, Gandhinagar, Gujarat 382355, India
3Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218 USA

Tài liệu tham khảo

Armero, 1996, An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids, Int. J. Solids Struct., 33, 2863, 10.1016/0020-7683(95)00257-X Basista, 1998, The sliding crack model of brittle deformation: an internal variable approach, Int. J. Solids Struct., 35, 487, 10.1016/S0020-7683(97)00031-0 Benveniste, 1986, On the Mori-Tanaka’s method in cracked bodies, Mech. Res. Commun., 13, 193, 10.1016/0093-6413(86)90018-2 Budiansky, 1976, Elastic moduli of a cracked solid, Int. J. Solids Struct., 12, 81, 10.1016/0020-7683(76)90044-5 Castañeda, 1995, The effect of spatial distribution on the effective behavior of composite materials and cracked media, J. Mech. Phys. Solids, 43, 1919, 10.1016/0022-5096(95)00058-Q Deng, 1992, Dynamic damage evolution in brittle solids, Mech. Mater., 14, 83, 10.1016/0167-6636(92)90008-2 Deshpande, 2008, Inelastic deformation and energy dissipation in ceramics: a mechanism-based constitutive model, J. Mech. Phys. Solids, 56, 3077, 10.1016/j.jmps.2008.05.002 Farbaniec, 2015, Micromechanisms associated with the dynamic compressive failure of hot-pressed boron carbide, Scripta Materialia, 10.1016/j.scriptamat.2015.05.004 Freund, 1972, Crack propagation in an elastic solid subjected to general loading—ii. non-uniform rate of extension, J. Mech. Phys. Solids, 20, 141, 10.1016/0022-5096(72)90007-5 Grechka, 2006, Effective elasticity of fractured rocks: a snapshot of the work in progress, Geophysics, 71, W45, 10.1190/1.2360212 Grechka, 2006, Effective elasticity of rocks with closely spaced and intersecting cracks, Geophysics, 71, D85, 10.1190/1.2197489 Green, A., Zerna, W., 1968. Theoretical elasticity, at the clarendon press. Hogan, 2015, The effects of microstructure and confinement on the compressive fragmentation of an advanced ceramic, J. Am. Ceram. Soc., 98, 902, 10.1111/jace.13353 Horii, 1983, Overall moduli of solids with microcracks: load-induced anisotropy, J. Mech. Phys. Solids, 31, 155, 10.1016/0022-5096(83)90048-0 Horii, 1985, Compression-induced microcrack growth in brittle solids: axial splitting and shear failure, (1978–2012), J. Geophys. Res., 90, 3105, 10.1029/JB090iB04p03105 Horii, 1986, Brittle failure in compression: splitting, faulting and brittle-ductile transition, Philos. Trans. R. Soc.Lond. A, 319, 337, 10.1098/rsta.1986.0101 Hu, 2015, A 3d mechanistic model for brittle materials containing evolving flaw distributions under dynamic multiaxial loading, J. Mech. Phys. Solids, 78, 269, 10.1016/j.jmps.2015.02.014 Huang, 2002, A dynamic damage growth model for uniaxial compressive response of rock aggregates, Mech. Mater., 34, 267, 10.1016/S0167-6636(02)00112-6 Jin, 2017, Discrete equivalent wing crack based damage model for brittle solids, Int. J. Solids Struct., 110, 279, 10.1016/j.ijsolstr.2016.12.025 Jin, 2017, Micromechanics based discrete damage model with multiple non-smooth yield surfaces: theoretical formulation, numerical implementation and engineering applications, Int. J. Damage Mech. Kachanov, 1992, Effective elastic properties of cracked solids: critical review of some basic concepts, Appl. Mech. Rev., 45, 304, 10.1115/1.3119761 Kachanov, 2005, On quantitative characterization of microstructures and effective properties, Int. J. Solids Struct., 42, 309, 10.1016/j.ijsolstr.2004.06.016 Kachanov, 1982, A microcrack model of rock inelasticity part i: frictional sliding on microcracks, Mech. Mater., 1, 19, 10.1016/0167-6636(82)90021-7 Lee, 1991, Micromechanical damage models for brittle solids. part ii: compressive loadings, J. Eng. Mech., 117, 1515, 10.1061/(ASCE)0733-9399(1991)117:7(1515) Liu, 2010, Finite deformation formulation for embedded frictional crack with the extended finite element method, Int.J.Numer.Methods Eng., 82, 773, 10.1002/nme.2782 Liu, 2015 Lubarda, 1994, Tensorial representation of the effective elastic properties of the damaged material, Int. J. Damage Mech., 3, 38, 10.1177/105678959400300102 Moss, 1982, A constitutive model describing dilatancy and cracking in brittle rocks, (1978–2012), J. Geophys. Res., 87, 2985, 10.1029/JB087iB04p02985 Murakami, 1983, Notion of continuum damage mechanics and its application to anisotropic creep damage theory, J. Eng. Mater. Technol., 105, 99, 10.1115/1.3225633 Nemat-Nasser, 1982, Compression-induced nonplanar crack extension with application to splitting, exfoliation, and rockburst, (1978–2012), J. Geophys. Res., 87, 6805, 10.1029/JB087iB08p06805 Nemat-Nasser, 1988, A microcrack model of dilatancy in brittle materials, J.Appl.Mech., 55, 24, 10.1115/1.3173647 Paliwal, 2008, An interacting micro-crack damage model for failure of brittle materials under compression, J. Mech. Phys. Solids, 56, 896, 10.1016/j.jmps.2007.06.012 Palmer, 1973, The growth of slip surfaces in the progressive failure of over-consolidated clay, 332, 527 Park, 1998, Kinematic description of damage, J.Appl.Mech., 65, 93, 10.1115/1.2789052 Pensée, 2002, Micromechanical analysis of anisotropic damage in brittle materials, J. Eng. Mech., 128, 889, 10.1061/(ASCE)0733-9399(2002)128:8(889) Ravichandran, 1995, A micromechanical model for high strain rate behavior of ceramics, Int. J. Solids Struct., 32, 2627, 10.1016/0020-7683(94)00286-6 Sevostianov, 2002, On elastic compliances of irregularly shaped cracks, Int. J. Fract., 114, 245, 10.1023/A:1015534127172 Shao, 2000, A microcrack-based continuous damage model for brittle geomaterials, Mech. Mater., 32, 607, 10.1016/S0167-6636(00)00024-7 Simo, 1993, An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids, Comput.Mech., 12, 277, 10.1007/BF00372173 Tonge, 2013, A consistent scaling framework for simulating high rate brittle failure problems, Procedia Eng., 58, 692, 10.1016/j.proeng.2013.05.080 Tonge, 2016, Multi-scale defect interactions in high-rate brittle material failure. part i: model formulation and application to alon, J. Mech. Phys. Solids, 86, 117, 10.1016/j.jmps.2015.10.007 Zhou, 2007, Micromechanical modeling of dynamic compressive responses of mesoscopic heterogenous brittle rock, Theor.Appl.Fract.Mech., 48, 1, 10.1016/j.tafmec.2007.04.008 Zhu, 2008, Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: role of the homogenization scheme, Int. J. Solids Struct., 45, 1385, 10.1016/j.ijsolstr.2007.09.026 Zoback, 1975, The effect of cyclic differential stress on dilatancy in westerly granite under uniaxial and triaxial conditions, J. Geophys. Res., 80, 1526, 10.1029/JB080i011p01526