A numerical damage model for initially anisotropic materials
Significant progresses have been realized during the last decades on both macroscopic and micro-mechanical modeling of induced damage in brittle materials. Most damage models developed so far were devoted to initially isotropic materials. This work is devoted to modeling of induced damage in an init...
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| Veröffentlicht in: | International journal of solids and structures Jg. 100-101; S. 245 - 256 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier Ltd
01.12.2016
Elsevier BV Elsevier |
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| ISSN: | 0020-7683, 1879-2146 |
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| Abstract | Significant progresses have been realized during the last decades on both macroscopic and micro-mechanical modeling of induced damage in brittle materials. Most damage models developed so far were devoted to initially isotropic materials. This work is devoted to modeling of induced damage in an initially anisotropic material. A numerical micro-mechanical damage model is proposed, using an Eshelby inclusion solution based homogenization method. Based on the numerical integration of the exact Green’s function and using an appropriate coordinate frame rotation method, an efficient numerical algorithm is proposed to determine the Hill tensor for an arbitrarily oriented family of cracks embedded in a transversely isotropic elastic matrix. Based on this, the effective elastic properties of cracked materials are determined through a rigorous up-scaling procedure using three different homogenization schemes, and taking into account interactions between the initial material anisotropy and induced cracks. A specific damage criterion is then defined in the framework of irreversible thermodynamics to describe the progressive growth of damage. The proposed model is finally implemented in a computer code and applied to study mechanical responses of cracked materials in different loading paths. Again, effects of the initial anisotropy and homogenization schemes are investigated. |
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| AbstractList | Significant progresses have been realized during the last decades on both macroscopic and micro-mechanical modeling of induced damage in brittle materials. Most damage models developed so far were devoted to initially isotropic materials. This work is devoted to modeling of induced damage in an initially anisotropic material. A numerical micro-mechanical damage model is proposed, using an Eshelby inclusion solution based homogenization method. Based on the numerical integration of the exact Green’s function and using an appropriate coordinate frame rotation method, an efficient numerical algorithm is proposed to determine the Hill tensor for an arbitrarily oriented family of cracks embedded in a transversely isotropic elastic matrix. Based on this, the effective elastic properties of cracked materials are determined through a rigorous up-scaling procedure using three different homogenization schemes, and taking into account interactions between the initial material anisotropy and induced cracks. A specific damage criterion is then defined in the framework of irreversible thermodynamics to describe the progressive growth of damage. The proposed model is finally implemented in a computer code and applied to study mechanical responses of cracked materials in different loading paths. Again, effects of the initial anisotropy and homogenization schemes are investigated. |
| Author | Qi, M. Colliat, J.B. Giraud, A. Shao, J.F. |
| Author_xml | – sequence: 1 givenname: M. surname: Qi fullname: Qi, M. organization: Laboratory of Mechanics of Lille, UMR CNRS 8107, University of Lille, 59655 Villeneuve d’Ascq, France – sequence: 2 givenname: A. surname: Giraud fullname: Giraud, A. organization: GeoRessources Laboratory, UMR CNRS 7359, University of Lorraine, 54501 Vandoeuvre-lès-Nancy, France – sequence: 3 givenname: J.B. surname: Colliat fullname: Colliat, J.B. organization: Laboratory of Mechanics of Lille, UMR CNRS 8107, University of Lille, 59655 Villeneuve d’Ascq, France – sequence: 4 givenname: J.F. surname: Shao fullname: Shao, J.F. email: jian-fu.shao@polytech-lille.fr organization: Laboratory of Mechanics of Lille, UMR CNRS 8107, University of Lille, 59655 Villeneuve d’Ascq, France |
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| Cites_doi | 10.1016/0020-7683(76)90044-5 10.1115/1.3423941 10.1016/0167-6636(82)90021-7 10.1098/rspa.1957.0133 10.1016/0020-7683(93)90059-G 10.1016/0022-5096(95)00058-Q 10.1002/nag.551 10.1016/j.ijrmms.2011.11.003 10.1016/j.euromechsol.2010.12.005 10.1016/j.ijrmms.2014.07.002 10.1016/j.ijrmms.2010.05.003 10.1061/(ASCE)0733-9399(2002)128:8(889) 10.1016/S1631-0721(02)00010-4 10.1016/j.ijsolstr.2007.08.035 10.1016/j.compgeo.2011.07.014 10.1016/0001-6160(73)90064-3 10.1016/j.ijsolstr.2011.12.006 10.1016/j.mechmat.2007.05.005 10.1016/j.ijrmms.2007.07.014 10.1016/j.ijsolstr.2009.08.003 10.1016/S0022-5096(96)00127-5 10.1016/j.ijsolstr.2007.09.026 10.1016/j.ijsolstr.2015.02.005 |
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| Keywords | Homogenization Heterogeneous materials Micro-mechanics Anisotropic damage Brittle materials Anisotropic materials |
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| References | Mori, Tanaka (bib0026) 1973; 21 Dormieux, Kondo, Ulm (bib0007) 2006 Jiang, Shao, Xu, CB (bib0012) 2010; 47 Pensee, Kondo, Dormieux (bib0016) 2002; 128(8) Pan, Chou (bib0015) 1976; 43 Jefferson, Bennett (bib0011) 2007; 31 Kachanov (bib0013) 1982; 1 Masson (bib0014) 2008; 45 Prat, Bazant (bib0018) 1997; 45 Zhu, Kondo, Shao, Pensee (bib0025) 2008; 45 Giraud, Huynh, Hoxha, Kondo (bib0010) 2007; 39 Chen, Hu, Wei, Zhou, L (bib0005) 2012; 71 Zaoui (bib0021) 2002 Zhu, Kondo, Shao (bib0024) 2008; 45(5) Zhu, Shao, D (bib0023) 2011; 30 Barthelemy (bib0002) 2009; 46 Zhu, Shao (bib0022) 2015; 60–61 Andrieux, Bamberger, Marigo (bib0001) 1986; 5(3) Budiansky, O’Connel (bib0004) 1976; 12 Chen, Li, Jiang, Zhou (bib0006) 2014; 50 Xie, Zhu, Xu, JF (bib0020) 2011; 38 Ponte-Castaneda, Willis (bib0017) 1995; 43 Barthelemy, Dormieux, Kondo (bib0003) 2003; 331 Gambarotta, Lagomarsino (bib0009) 1993; 30(2) Xie, Zhu, Shao, Xu (bib0019) 2012; 49 Eshelby (bib0008) 1957; 241(1226) Zhu (10.1016/j.ijsolstr.2016.08.021_bib0024) 2008; 45(5) Jefferson (10.1016/j.ijsolstr.2016.08.021_bib0011) 2007; 31 Giraud (10.1016/j.ijsolstr.2016.08.021_bib0010) 2007; 39 Jiang (10.1016/j.ijsolstr.2016.08.021_bib0012) 2010; 47 Xie (10.1016/j.ijsolstr.2016.08.021_bib0019) 2012; 49 Pan (10.1016/j.ijsolstr.2016.08.021_bib0015) 1976; 43 Budiansky (10.1016/j.ijsolstr.2016.08.021_bib0004) 1976; 12 Dormieux (10.1016/j.ijsolstr.2016.08.021_bib0007) 2006 Masson (10.1016/j.ijsolstr.2016.08.021_bib0014) 2008; 45 Mori (10.1016/j.ijsolstr.2016.08.021_bib0026) 1973; 21 Ponte-Castaneda (10.1016/j.ijsolstr.2016.08.021_bib0017) 1995; 43 Andrieux (10.1016/j.ijsolstr.2016.08.021_bib0001) 1986; 5(3) Zhu (10.1016/j.ijsolstr.2016.08.021_bib0022) 2015; 60–61 Barthelemy (10.1016/j.ijsolstr.2016.08.021_bib0003) 2003; 331 Gambarotta (10.1016/j.ijsolstr.2016.08.021_bib0009) 1993; 30(2) Chen (10.1016/j.ijsolstr.2016.08.021_bib0006) 2014; 50 Prat (10.1016/j.ijsolstr.2016.08.021_bib0018) 1997; 45 Xie (10.1016/j.ijsolstr.2016.08.021_bib0020) 2011; 38 Kachanov (10.1016/j.ijsolstr.2016.08.021_bib0013) 1982; 1 Eshelby (10.1016/j.ijsolstr.2016.08.021_bib0008) 1957; 241(1226) Chen (10.1016/j.ijsolstr.2016.08.021_bib0005) 2012; 71 Zhu (10.1016/j.ijsolstr.2016.08.021_bib0025) 2008; 45 Pensee (10.1016/j.ijsolstr.2016.08.021_bib0016) 2002; 128(8) Barthelemy (10.1016/j.ijsolstr.2016.08.021_bib0002) 2009; 46 Zhu (10.1016/j.ijsolstr.2016.08.021_bib0023) 2011; 30 Zaoui (10.1016/j.ijsolstr.2016.08.021_bib0021) 2002 |
| References_xml | – volume: 46 start-page: 4064 year: 2009 end-page: 4072 ident: bib0002 article-title: Compliance and hill polarization tensor of a crack in an anisotropic matrix publication-title: Int. J. Solids Struct. – volume: 47 start-page: 703 year: 2010 end-page: 713 ident: bib0012 article-title: Experimental investigation and micromechanical analysis of damage and permeability variation in brittle rocks publication-title: Int. J. Rock Mech. Mining Sci. – volume: 43 start-page: 608 year: 1976 end-page: 612 ident: bib0015 article-title: Point force solution for an infinite transversely isotropic solid publication-title: J. Appl. Mech. – volume: 30(2) start-page: 177 year: 1993 end-page: 198 ident: bib0009 article-title: A microcrak damage model for brittle materials publication-title: Int. J. Solids Struct. – volume: 128(8) start-page: 889 year: 2002 end-page: 897 ident: bib0016 article-title: Micromechanical analysis of anisotropic damage in brittle materials publication-title: J. Eng. Mech. – volume: 45(5) start-page: 1385 year: 2008 end-page: 1405 ident: bib0024 article-title: Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: Role of the homogenization scheme publication-title: Int. J. Solids Struct. – volume: 43 start-page: 1919 year: 1995 end-page: 1951 ident: bib0017 article-title: The effect of spatial distribution of effective behavior of composite materials and cracked media publication-title: Journ. Mech. Phys. Solids – volume: 241(1226) start-page: 376 year: 1957 end-page: 396 ident: bib0008 article-title: The determination of the elastic field of an ellipsoidal inclusion, and related problems publication-title: Proc. R. Soc. London – volume: 38 start-page: 970 year: 2011 end-page: 977 ident: bib0020 article-title: A micromechanics-based elastoplastic damage model for quasi-brittle rocks publication-title: Comput. Geotech. – volume: 39 start-page: 1006 year: 2007 end-page: 1024 ident: bib0010 article-title: Effective poroelastic properties of transversely isotropic rock like composites with arbitrarily oriented ellipsoidal inclusions publication-title: Mech. Mater. – volume: 71 start-page: 64 year: 2012 end-page: 76 ident: bib0005 article-title: Experimental characterization and micromechanical modeling of damage- induced permeability variation in beishan granite publication-title: Int. J. Rock Mech. Mining Sci. – volume: 1 start-page: 19 year: 1982 end-page: 41 ident: bib0013 article-title: A microcrack model of rock inelasticity - part i: frictional sliding on microcracks; part ii : propagation of microcraks. mechanics of materials publication-title: Mech. Mater. – volume: 12 start-page: 81 year: 1976 end-page: 97 ident: bib0004 article-title: Elastic moduli of a cracked solid publication-title: Int. J. Solids Struct. – start-page: 291 year: 2002 end-page: 347 ident: bib0021 article-title: Structural morphology and constitutive behavior of microheterogeneous materials publication-title: Dans: Continuum Micromechanics – volume: 45 start-page: 467 year: 2008 end-page: 477 ident: bib0025 article-title: Micromechanical modelling of anisotropic damage in brittle rocks and application publication-title: Int. J. Rock Mech. Mining Sci. – year: 2006 ident: bib0007 article-title: Microporomechanics – volume: 60–61 start-page: 75 year: 2015 end-page: 83 ident: bib0022 article-title: A refined micromechanical damagefriction model with strength prediction for rock-like materials under compression publication-title: Int. J. Solids Struct. – volume: 45 start-page: 757 year: 2008 end-page: 769 ident: bib0014 article-title: New explicit expressions of the hill polarization tensor for general anisotropic elastic solids publication-title: Int. J. Solids Struct. – volume: 50 start-page: 102 year: 2014 end-page: 116 ident: bib0006 article-title: Micromechanical analysis of anisotropic damage and its in uence on effective thermal conductivity in brittle rocks publication-title: Int. J. Rock Mech. Mining Sci. – volume: 5(3) start-page: 471 year: 1986 end-page: 513 ident: bib0001 article-title: Un modèle de matériau microfissuré pour les roches et les bétons publication-title: J. de mécanique théorique et appliquée – volume: 31 start-page: 133 year: 2007 end-page: 146 ident: bib0011 article-title: Micro-mechanical damage and rough crack closure in cementitious composite materials publication-title: Int. J. Numer. Anal. Methods. Geomech. – volume: 30 start-page: 316 year: 2011 end-page: 325 ident: bib0023 article-title: A micromechanics-based thermodynamic formulation of isotropic damage with unilateral and friction effects publication-title: Eur. J. Mech.-A/Solids – volume: 331 start-page: 7 year: 2003 end-page: 84 ident: bib0003 article-title: Détermination du comportement macroscopique d’un milieu à fissures frottantes publication-title: C.R. Mecanique – volume: 49 start-page: 918 year: 2012 end-page: 928 ident: bib0019 article-title: Micromechanical analysis of damage in saturated quasi brittle materials publication-title: Int. J. Solids Struct. – volume: 21 start-page: 571 year: 1973 end-page: 574 ident: bib0026 article-title: Averages stress in matrix and average elastic energy of materials with misfitting inclusions publication-title: Acta Matall. – volume: 45 start-page: 611 year: 1997 end-page: 636 ident: bib0018 article-title: Tangential stiffness of elastic materials with systems of growing or closing cracks publication-title: J. Mech. Phys. Solids – volume: 12 start-page: 81 year: 1976 ident: 10.1016/j.ijsolstr.2016.08.021_bib0004 article-title: Elastic moduli of a cracked solid publication-title: Int. J. Solids Struct. doi: 10.1016/0020-7683(76)90044-5 – volume: 43 start-page: 608 year: 1976 ident: 10.1016/j.ijsolstr.2016.08.021_bib0015 article-title: Point force solution for an infinite transversely isotropic solid publication-title: J. Appl. Mech. doi: 10.1115/1.3423941 – volume: 1 start-page: 19 year: 1982 ident: 10.1016/j.ijsolstr.2016.08.021_bib0013 article-title: A microcrack model of rock inelasticity - part i: frictional sliding on microcracks; part ii : propagation of microcraks. mechanics of materials publication-title: Mech. Mater. doi: 10.1016/0167-6636(82)90021-7 – volume: 241(1226) start-page: 376 year: 1957 ident: 10.1016/j.ijsolstr.2016.08.021_bib0008 article-title: The determination of the elastic field of an ellipsoidal inclusion, and related problems publication-title: Proc. R. Soc. London doi: 10.1098/rspa.1957.0133 – volume: 30(2) start-page: 177 year: 1993 ident: 10.1016/j.ijsolstr.2016.08.021_bib0009 article-title: A microcrak damage model for brittle materials publication-title: Int. J. Solids Struct. doi: 10.1016/0020-7683(93)90059-G – volume: 43 start-page: 1919 year: 1995 ident: 10.1016/j.ijsolstr.2016.08.021_bib0017 article-title: The effect of spatial distribution of effective behavior of composite materials and cracked media publication-title: Journ. Mech. Phys. Solids doi: 10.1016/0022-5096(95)00058-Q – volume: 31 start-page: 133 year: 2007 ident: 10.1016/j.ijsolstr.2016.08.021_bib0011 article-title: Micro-mechanical damage and rough crack closure in cementitious composite materials publication-title: Int. J. Numer. Anal. Methods. Geomech. doi: 10.1002/nag.551 – volume: 50 start-page: 102 year: 2014 ident: 10.1016/j.ijsolstr.2016.08.021_bib0006 article-title: Micromechanical analysis of anisotropic damage and its in uence on effective thermal conductivity in brittle rocks publication-title: Int. J. Rock Mech. Mining Sci. doi: 10.1016/j.ijrmms.2011.11.003 – volume: 5(3) start-page: 471 year: 1986 ident: 10.1016/j.ijsolstr.2016.08.021_bib0001 article-title: Un modèle de matériau microfissuré pour les roches et les bétons publication-title: J. de mécanique théorique et appliquée – volume: 30 start-page: 316 year: 2011 ident: 10.1016/j.ijsolstr.2016.08.021_bib0023 article-title: A micromechanics-based thermodynamic formulation of isotropic damage with unilateral and friction effects publication-title: Eur. J. Mech.-A/Solids doi: 10.1016/j.euromechsol.2010.12.005 – volume: 71 start-page: 64 year: 2012 ident: 10.1016/j.ijsolstr.2016.08.021_bib0005 article-title: Experimental characterization and micromechanical modeling of damage- induced permeability variation in beishan granite publication-title: Int. J. Rock Mech. Mining Sci. doi: 10.1016/j.ijrmms.2014.07.002 – volume: 47 start-page: 703 year: 2010 ident: 10.1016/j.ijsolstr.2016.08.021_bib0012 article-title: Experimental investigation and micromechanical analysis of damage and permeability variation in brittle rocks publication-title: Int. J. Rock Mech. Mining Sci. doi: 10.1016/j.ijrmms.2010.05.003 – volume: 128(8) start-page: 889 year: 2002 ident: 10.1016/j.ijsolstr.2016.08.021_bib0016 article-title: Micromechanical analysis of anisotropic damage in brittle materials publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)0733-9399(2002)128:8(889) – year: 2006 ident: 10.1016/j.ijsolstr.2016.08.021_bib0007 – volume: 331 start-page: 7 year: 2003 ident: 10.1016/j.ijsolstr.2016.08.021_bib0003 article-title: Détermination du comportement macroscopique d’un milieu à fissures frottantes publication-title: C.R. Mecanique doi: 10.1016/S1631-0721(02)00010-4 – volume: 45 start-page: 757 year: 2008 ident: 10.1016/j.ijsolstr.2016.08.021_bib0014 article-title: New explicit expressions of the hill polarization tensor for general anisotropic elastic solids publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2007.08.035 – volume: 38 start-page: 970 year: 2011 ident: 10.1016/j.ijsolstr.2016.08.021_bib0020 article-title: A micromechanics-based elastoplastic damage model for quasi-brittle rocks publication-title: Comput. Geotech. doi: 10.1016/j.compgeo.2011.07.014 – volume: 21 start-page: 571 year: 1973 ident: 10.1016/j.ijsolstr.2016.08.021_bib0026 article-title: Averages stress in matrix and average elastic energy of materials with misfitting inclusions publication-title: Acta Matall. doi: 10.1016/0001-6160(73)90064-3 – volume: 49 start-page: 918 year: 2012 ident: 10.1016/j.ijsolstr.2016.08.021_bib0019 article-title: Micromechanical analysis of damage in saturated quasi brittle materials publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2011.12.006 – start-page: 291 year: 2002 ident: 10.1016/j.ijsolstr.2016.08.021_bib0021 article-title: Structural morphology and constitutive behavior of microheterogeneous materials – volume: 39 start-page: 1006 year: 2007 ident: 10.1016/j.ijsolstr.2016.08.021_bib0010 article-title: Effective poroelastic properties of transversely isotropic rock like composites with arbitrarily oriented ellipsoidal inclusions publication-title: Mech. Mater. doi: 10.1016/j.mechmat.2007.05.005 – volume: 45 start-page: 467 year: 2008 ident: 10.1016/j.ijsolstr.2016.08.021_bib0025 article-title: Micromechanical modelling of anisotropic damage in brittle rocks and application publication-title: Int. J. Rock Mech. Mining Sci. doi: 10.1016/j.ijrmms.2007.07.014 – volume: 46 start-page: 4064 year: 2009 ident: 10.1016/j.ijsolstr.2016.08.021_bib0002 article-title: Compliance and hill polarization tensor of a crack in an anisotropic matrix publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2009.08.003 – volume: 45 start-page: 611 year: 1997 ident: 10.1016/j.ijsolstr.2016.08.021_bib0018 article-title: Tangential stiffness of elastic materials with systems of growing or closing cracks publication-title: J. Mech. Phys. Solids doi: 10.1016/S0022-5096(96)00127-5 – volume: 45(5) start-page: 1385 year: 2008 ident: 10.1016/j.ijsolstr.2016.08.021_bib0024 article-title: Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: Role of the homogenization scheme publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2007.09.026 – volume: 60–61 start-page: 75 year: 2015 ident: 10.1016/j.ijsolstr.2016.08.021_bib0022 article-title: A refined micromechanical damagefriction model with strength prediction for rock-like materials under compression publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2015.02.005 |
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| SubjectTerms | Algorithms Anisotropic damage Anisotropic materials Anisotropy Brittle materials Brittleness Computer programs Cracks Damage Damage assessment Elastic properties Engineering Sciences Fracture mechanics Heterogeneous materials Homogenization Mathematical models Micro-mechanics Numerical analysis Numerical integration Thermodynamics |
| Title | A numerical damage model for initially anisotropic materials |
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