메뉴 건너뛰기




Volumn 27, Issue 1, 2010, Pages 1-83

Brittle fracture: From elasticity theory to atomistic simulations

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE FRACTURE; COMPUTATION THEORY; CONTINUUM MECHANICS;

EID: 77958545461     PISSN: 10693599     EISSN: None     Source Type: Book Series    
DOI: 10.1002/9780470890905.ch1     Document Type: Book
Times cited : (13)

References (128)
  • 1
    • 0141594283 scopus 로고
    • Imprimerie Impériale, Paris, France
    • A. J. Fresnel, Oeuvres Complètes, Imprimerie Impériale, Paris, France, 1868.
    • (1868) Oeuvres Complètes
    • Fresnel, A.J.1
  • 6
    • 0006984862 scopus 로고
    • Recherches sur l'Équilibre et le Mouvement Intérieur des Corps Solides ou Fluides, Élastiques ou non Élastiques
    • A. L. Cauchy, Bulletin de la Société Philomathique, 9-13, (1823). Recherches sur l'Équilibre et le Mouvement Intérieur des Corps Solides ou Fluides, Élastiques ou non Élastiques.
    • (1823) Bulletin de la Société Philomathique , pp. 9-13
    • Cauchy, A.L.1
  • 7
    • 52649147111 scopus 로고
    • Sur les Relations qui Existent dans l'État d'Équilibre d'un Corps Solide ou Fluide, entre les Pressions ou Tensions et les Forces Accélératrices
    • A. L. Cauchy, Exercices de Mathématique, 2, 108 (1827). Sur les Relations qui Existent dans l'État d'Équilibre d'un Corps Solide ou Fluide, entre les Pressions ou Tensions et les Forces Accélératrices.
    • (1827) Exercices de Mathématique , vol.2 , pp. 108
    • Cauchy, A.L.1
  • 12
    • 0000357002 scopus 로고
    • The Phenomena of Rupture and Flow in Solids
    • A. A. Griffith, Phil. Roy. Soc. London, A 221, 163 (1920). The Phenomena of Rupture and Flow in Solids.
    • (1920) Phil. Roy. Soc. London A , vol.221 , pp. 163
    • Griffith, A.A.1
  • 21
    • 0003369675 scopus 로고
    • The Classical Theory of Elasticity
    • S. Flugge (Ed.), Springer Verlag, Berlin
    • I. N. Sneddon and D. S. Berry, in Elasticity and Plasticity, S. Flugge (Ed.), Springer Verlag, Berlin, 1958, Vol. VI, pp. 1-126, The Classical Theory of Elasticity.
    • (1958) Elasticity and Plasticity , vol.6 , pp. 1-126
    • Sneddon, I.N.1    Berry, D.S.2
  • 26
    • 0003457345 scopus 로고
    • Macmillan Publishing Company, New York
    • J. Lubliner, Plasticity Theory, Macmillan Publishing Company, New York, 1990.
    • (1990) Plasticity Theory
    • Lubliner, J.1
  • 29
    • 0003875154 scopus 로고
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • T. Mura, Micromechanics of Defects in Solids, Kluwer Academic Publishers, Dordrecht, The Netherlands 1982.
    • (1982) Micromechanics of Defects in Solids
    • Mura, T.1
  • 30
    • 37049182280 scopus 로고
    • Foam Structures with a Negative Poisson's Ratio
    • R. Lakes, Science, 235, 1038 (1987). Foam Structures with a Negative Poisson's Ratio.
    • (1987) Science , vol.235 , pp. 1038
    • Lakes, R.1
  • 31
    • 0000673801 scopus 로고
    • 2 from First-Principles Calculations
    • N. R. Keskar and J. R. Chelikowsky, Nature, 358, 222 (1992). Negative Poisson Ratios in Crystalline SiO2 from First-Principles Calculations.
    • (1992) Nature , vol.358 , pp. 222
    • Keskar, N.R.1    Chelikowsky, J.R.2
  • 32
    • 0003251413 scopus 로고
    • Elasticity of α-Cristobalite: A Silicon Dioxide with a Negative Poisson's Ratio
    • A. Yeganeh-Haeri, D. J. Weidner, and J. B. Parise, Science, 357, 650 (1992). Elasticity of α-Cristobalite: A Silicon Dioxide with a Negative Poisson's Ratio.
    • (1992) Science , vol.357 , pp. 650
    • Yeganeh-Haeri, A.1    Weidner, D.J.2    Parise, J.B.3
  • 33
    • 0001311151 scopus 로고
    • Many-Body Forces in Metals and the Brugger Elastic Constants
    • J. W. Martin, J. Phys. C: Solid State Phys., 8, 2837 (1975). Many-Body Forces in Metals and the Brugger Elastic Constants.
    • (1975) J. Phys. C: Solid State Phys. , vol.8 , pp. 2837
    • Martin, J.W.1
  • 34
    • 0000773083 scopus 로고
    • Calculation of Elastic Constants by the Method of Crystal Static Deformation
    • M. Catti, Acta Cryst., A41, 494 (1985).Calculation of Elastic Constants by the Method of Crystal Static Deformation.
    • (1985) Acta Cryst , vol.A41 , pp. 494
    • Catti, M.1
  • 35
    • 0000112070 scopus 로고
    • Empirical Many-Body Interatomic Potential for BCC Transition Metals
    • R. Pasianot, D. Farkas, and E. J. Savino, Phys. Rev. B, 43, 6952 (1991). Empirical Many-Body Interatomic Potential for BCC Transition Metals.
    • (1991) Phys. Rev. B , vol.43 , pp. 6952
    • Pasianot, R.1    Farkas, D.2    Savino, E.J.3
  • 37
    • 0000696583 scopus 로고
    • Embedded-Atom-Method Interatomic Potentials for HCP Metals
    • R. Pasianot and E. J. Savino, Phys. Rev. B, 45, 12704 (1992). Embedded-Atom-Method Interatomic Potentials for HCP Metals.
    • (1992) Phys. Rev. B , vol.45 , pp. 12704
    • Pasianot, R.1    Savino, E.J.2
  • 38
    • 84987098039 scopus 로고
    • Elastic Constants for the HCP Lattice
    • R. Pasianot and E. J. Savino, Phys. Stat. Sol. B, 176, 327 (1993). Elastic Constants for the HCP Lattice.
    • (1993) Phys. Stat. Sol. B , vol.176 , pp. 327
    • Pasianot, R.1    Savino, E.J.2
  • 39
    • 50049108386 scopus 로고    scopus 로고
    • Negative Poisson Ratio Materials via Isotropic Interactions
    • M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett., 101, 085501 (2008). Negative Poisson Ratio Materials via Isotropic Interactions.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 085501
    • Rechtsman, M.C.1    Stillinger, F.H.2    Torquato, S.3
  • 40
    • 37149030036 scopus 로고    scopus 로고
    • Atomistic Modeling of Brittleness in Covalent Materials
    • A. Mattoni, M. Ippolito, and L. Colombo, Phys. Rev. B, 76, 224103 (2007). Atomistic Modeling of Brittleness in Covalent Materials.
    • (2007) Phys. Rev. B , vol.76 , pp. 224103
    • Mattoni, A.1    Ippolito, M.2    Colombo, L.3
  • 43
    • 7244238164 scopus 로고    scopus 로고
    • Atomic-Scale Mechanism of Crack-Tip Plasticity: Dislocation Nucleation and Crack-Tip Shielding
    • F. Cleri, S. Yip, D. Wolf, and S. R. Phillpot, Phys. Rev. Lett., 79, 1309 (1997). Atomic-Scale Mechanism of Crack-Tip Plasticity: Dislocation Nucleation and Crack-Tip Shielding.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 1309
    • Cleri, F.1    Yip, S.2    Wolf, D.3    Phillpot, S.R.4
  • 44
    • 0001141797 scopus 로고    scopus 로고
    • Dynamics of Brittle Fracture with Variable Elasticity
    • F. F. Abraham, Phys. Rev. Lett., 77, 869 (1996). Dynamics of Brittle Fracture with Variable Elasticity.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 869
    • Abraham, F.F.1
  • 45
    • 4243754961 scopus 로고
    • Computer Simulation of Local Order in Condensed Phases of Silicon
    • F. H. Stillinger and T. A. Weber, Phys. Rev. B, 31, 5262 (1985). Computer Simulation of Local Order in Condensed Phases of Silicon.
    • (1985) Phys. Rev. B , vol.31 , pp. 5262
    • Stillinger, F.H.1    Weber, T.A.2
  • 46
    • 34547408846 scopus 로고    scopus 로고
    • Molecular Dynamics Simulation of the Recrystallization of Amorphous Si Layers: Comprehensive Study of the Dependence of the Recrystallization Velocity on the Interatomic Potential
    • C. Krzeminski, Q. Brulin, V. Cuny, E. Lecat, E. Lampin, and F. Cleri, J. Appl. Phys., 101, 123506 (2007). Molecular Dynamics Simulation of the Recrystallization of Amorphous Si Layers: Comprehensive Study of the Dependence of the Recrystallization Velocity on the Interatomic Potential.
    • (2007) J. Appl. Phys. , vol.101 , pp. 123506
    • Krzeminski, C.1    Brulin, Q.2    Cuny, V.3    Lecat, E.4    Lampin, E.5    Cleri, F.6
  • 48
    • 0000590093 scopus 로고    scopus 로고
    • Interatomic Potential for Silicon Defects and Disordered Phases
    • J. F. Justo, M. Z. Bazant, E. Kaxiras, V. V Bulatov, and S. Yip, Phys. Rev. B, 58, 2539 (1998). Interatomic Potential for Silicon Defects and Disordered Phases.
    • (1998) Phys. Rev. B , vol.58 , pp. 2539
    • Justo, J.F.1    Bazant, M.Z.2    Kaxiras, E.3    Bulatov, V.V.4    Yip, S.5
  • 49
    • 0000363781 scopus 로고    scopus 로고
    • Environment-Dependent Interatomic Potential for Bulk Silicon
    • M. Z. Bazant, E. Kaxiras, and J. F. Justo, Phys. Rev. B, 56, 8542 (1997). Environment-Dependent Interatomic Potential for Bulk Silicon.
    • (1997) Phys. Rev. B , vol.56 , pp. 8542
    • Bazant, M.Z.1    Kaxiras, E.2    Justo, J.F.3
  • 50
    • 0000140640 scopus 로고    scopus 로고
    • Modeling of Covalent Bonding in Solids by Inversion of Cohesive Energy Curves
    • M. Z. Bazant and E. Kaxiras, Phys. Rev. Lett., 77, 4370 (1996). Modeling of Covalent Bonding in Solids by Inversion of Cohesive Energy Curves.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4370
    • Bazant, M.Z.1    Kaxiras, E.2
  • 51
    • 33746398176 scopus 로고
    • Empirical Chemical Pseudopotential Theory of Molecular and Metallic Bonding
    • G. C. Abell, Phys. Rev. B, 31, 6184 (1985). Empirical Chemical Pseudopotential Theory of Molecular and Metallic Bonding.
    • (1985) Phys. Rev. B , vol.31 , pp. 6184
    • Abell, G.C.1
  • 52
    • 0001753062 scopus 로고
    • Universal Features of the Equation of State of Metals
    • J. H. Rose, J. R. Smith, F. Guinea, and J. Ferrante, Phys. Rev. B, 29, 2963 (1984). Universal Features of the Equation of State of Metals.
    • (1984) Phys. Rev. B , vol.29 , pp. 2963
    • Rose, J.H.1    Smith, J.R.2    Guinea, F.3    Ferrante, J.4
  • 53
    • 27744577658 scopus 로고
    • Modeling Solid-State Chemistry: Interatomic Potentials for Multicomponent Systems
    • J. Tersoff, Phys. Rev. B, 39, 5566 (1989). Modeling Solid-State Chemistry: Interatomic Potentials for Multicomponent Systems.
    • (1989) Phys. Rev. B , vol.39 , pp. 5566
    • Tersoff, J.1
  • 54
    • 33644817086 scopus 로고
    • Empirical Potential for Hydrocarbons for Use in Simulating the Chemical Vapor Deposition of Diamond Films
    • D. W. Brenner, Phys. Rev. B, 42, 9458 (1990). Empirical Potential for Hydrocarbons for Use in Simulating the Chemical Vapor Deposition of Diamond Films.
    • (1990) Phys. Rev. B , vol.42 , pp. 9458
    • Brenner, D.W.1
  • 56
    • 0001463575 scopus 로고    scopus 로고
    • Analytic Bond-Order Potentials Beyond Tersoff-Brenner
    • D. G. Pettifor and I. I. Oleinik, Phys. Rev. B, 59, 8487 (1999). Analytic Bond-Order Potentials Beyond Tersoff-Brenner. I. Theory.
    • (1999) I. Theory. Phys. Rev. B , vol.59 , pp. 8487
    • Pettifor, D.G.1    Oleinik, I.I.2
  • 57
    • 54449085520 scopus 로고    scopus 로고
    • Describing Bond-Breaking Processes by Reactive Potentials: Importance of an Environment-Dependent Interaction Range
    • L. Pastewka, P. Pou, R. Pérez, P. Gumbsch, and M. Moseler, Phys. Rev. B, 78, 161402 (2008). Describing Bond-Breaking Processes by Reactive Potentials: Importance of an Environment-Dependent Interaction Range.
    • (2008) Phys. Rev. B , vol.78 , pp. 161402
    • Pastewka, L.1    Pou, P.2    Pérez, R.3    Gumbsch, P.4    Moseler, M.5
  • 58
    • 0001499450 scopus 로고
    • Atomistic Simulation of Thermomechanical Properties of β-SiC
    • M. Tang and S. Yip, Phys. Rev. B, 52, 15150 (1995). Atomistic Simulation of Thermomechanical Properties of β-SiC.
    • (1995) Phys. Rev. B , vol.52 , pp. 15150
    • Tang, M.1    Yip, S.2
  • 59
    • 11544346413 scopus 로고    scopus 로고
    • Ideal Brittle Fracture of Silicon Studied with Molecular Dynamics
    • D. Holland and M. Marder, Phys. Rev. Lett., 80, 746 (1998). Ideal Brittle Fracture of Silicon Studied with Molecular Dynamics.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 746
    • Holland, D.1    Marder, M.2
  • 60
    • 0042530269 scopus 로고    scopus 로고
    • Lattice Trapping Barriers to Brittle Fracture
    • N. Bernstein and D. W. Hess, Phys. Rev. Lett., 91, 025501 (2003). Lattice Trapping Barriers to Brittle Fracture.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 025501
    • Bernstein, N.1    Hess, D.W.2
  • 61
    • 28644443940 scopus 로고    scopus 로고
    • Brittle Dynamic Fracture of Crystalline Cubic Silicon Carbide (3C-SiC) via Molecular Dynamics Simulation
    • H. Kicuchi, R. K. Kalia, A. Nakano, P. Vashista, P. Branicio, and F. Shimojo, J. Appl. Phys., 98, 103524 (2005). Brittle Dynamic Fracture of Crystalline Cubic Silicon Carbide (3C-SiC) via Molecular Dynamics Simulation.
    • (2005) J. Appl. Phys. , vol.98 , pp. 103524
    • Kicuchi, H.1    Kalia, R.K.2    Nakano, A.3    Vashista, P.4    Branicio, P.5    Shimojo, F.6
  • 62
    • 4243425204 scopus 로고    scopus 로고
    • Molecular Dynamics Simulation of Brittle Fracture in Silicon
    • J. G. Swadener, M. I. Baskes, and M. Nastasi, Phys. Rev. Lett., 89, 085503 (2002). Molecular Dynamics Simulation of Brittle Fracture in Silicon.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 085503
    • Swadener, J.G.1    Baskes, M.I.2    Nastasi, M.3
  • 64
    • 0001362964 scopus 로고    scopus 로고
    • Elasticity, Stability, and Ideal Strength of β-SiC in Plane-Wave-Based Ab Initio Calculations
    • W. Li and T. Wang, Phys. Rev. B, 59, 3993 (1999). Elasticity, Stability, and Ideal Strength of β-SiC in Plane-Wave-Based Ab Initio Calculations.
    • (1999) Phys. Rev. B , vol.59 , pp. 3993
    • Li, W.1    Wang, T.2
  • 65
    • 43049119965 scopus 로고    scopus 로고
    • Continuum Interpretation of Virial Stress in Molecular Simulations
    • A. K. Subramaniyan and C.T. Sun, Int. J. Solids Structures, 45, 4340 (2008). Continuum Interpretation of Virial Stress in Molecular Simulations.
    • (2008) Int. J. Solids Structures , vol.45 , pp. 4340
    • Subramaniyan, A.K.1    Sun, C.T.2
  • 67
    • 0042676787 scopus 로고
    • Virial Theorem Generalized
    • A. G. McLellan, Am. J. Phys., 42, 239 (1974). Virial Theorem Generalized.
    • (1974) Am. J. Phys. , vol.42 , pp. 239
    • McLellan, A.G.1
  • 68
    • 84953682379 scopus 로고
    • Comments for Virial Systems for Bounded Systems
    • R. J. Swenson, Am. J. Phys., 51, 940 (1983). Comments for Virial Systems for Bounded Systems.
    • (1983) Am. J. Phys. , vol.51 , pp. 940
    • Swenson, R.J.1
  • 69
    • 0001473976 scopus 로고
    • On a Mechanical Theory Applicable to Heat
    • R. Clausius, Phil. Mag., 40, 122 (1870). On a Mechanical Theory Applicable to Heat.
    • (1870) Phil. Mag. , vol.40 , pp. 122
    • Clausius, R.1
  • 70
    • 84958469724 scopus 로고
    • On Reciprocal Figures, Frames and Diagrams of Forces
    • J. C. Maxwell, Trans. R. Soc. Edinburg, XXVI, 1 (1870). On Reciprocal Figures, Frames and Diagrams of Forces.
    • (1870) Trans. R. Soc. Edinburg , vol.26 , pp. 1
    • Maxwell, J.C.1
  • 71
    • 1542327302 scopus 로고    scopus 로고
    • A New Look at The Atomic Level Virial Stress: On Continuum-Molecular System Equivalence
    • M. Zhou, Proc. R. Soc. Lond. A, 459, 2347 (2003). A New Look at The Atomic Level Virial Stress: On Continuum-Molecular System Equivalence.
    • (2003) Proc. R. Soc. Lond. A , vol.459 , pp. 2347
    • Zhou, M.1
  • 72
    • 33646967528 scopus 로고
    • The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics
    • J. H. Irving and J. G. Kirkwood, J. Chem. Phys., 18, 817 (1950). The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics.
    • (1950) J. Chem. Phys. , vol.18 , pp. 817
    • Irving, J.H.1    Kirkwood, J.G.2
  • 73
    • 33744756304 scopus 로고    scopus 로고
    • A Classical Mechanics Approach to the Determination of the Stress and Strain Response of Particle Systems
    • P. C. Andia, F. Costanzo, and G. L. Gray, Model. Simul. Mater. Sci. Eng., 14, 741 (2006). A Classical Mechanics Approach to the Determination of the Stress and Strain Response of Particle Systems.
    • (2006) Model. Simul. Mater. Sci. Eng. , vol.14 , pp. 741
    • Andia, P.C.1    Costanzo, F.2    Gray, G.L.3
  • 74
    • 24944569618 scopus 로고    scopus 로고
    • A Lagrangian-Based Continuum Homogenization Approach Applicable to Molecular Dynamics Simulations
    • P. C. Andia, F. Costanzo, and G. L. Gray, Int. J. Solids Structures, 42, 6409 (2005). A Lagrangian-Based Continuum Homogenization Approach Applicable to Molecular Dynamics Simulations.
    • (2005) Int. J. Solids Structures , vol.42 , pp. 6409
    • Andia, P.C.1    Costanzo, F.2    Gray, G.L.3
  • 75
    • 0002724852 scopus 로고
    • Excluded-Volume Effects in Rubber Elasticity. 1. Virial Stress Formulation
    • J. Gao and J. H. Weiner, Macromolecules, 20, 2520 (1987). Excluded-Volume Effects in Rubber Elasticity. 1. Virial Stress Formulation.
    • (1987) Macromolecules , vol.20 , pp. 2520
    • Gao, J.1    Weiner, J.H.2
  • 76
    • 0001536249 scopus 로고
    • Stresses in a Plate Due to the Presence of Cracks and Sharp Corners
    • C. E. Inglis, Trans. Inst. Naval Arch. London, LV, 219 (1913). Stresses in a Plate Due to the Presence of Cracks and Sharp Corners.
    • (1913) Trans. Inst. Naval Arch. London , vol.55 , pp. 219
    • Inglis, C.E.1
  • 77
    • 0008412752 scopus 로고
    • Uber einige Eigenschaften des ebenen Problems der Elastizitatstheorie
    • G. Kolosoff, Zeitschrift für Math. und Physik, 62, 384 (1914). Uber einige Eigenschaften des ebenen Problems der Elastizitatstheorie.
    • (1914) Zeitschrift für Math. und Physik , vol.62 , pp. 384
    • Kolosoff, G.1
  • 80
    • 85123615747 scopus 로고
    • Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate
    • G. R. Irwin, J. Appl. Mech., 24, 361 (1957). Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate.
    • (1957) J. Appl. Mech. , vol.24 , pp. 361
    • Irwin, G.R.1
  • 81
    • 36649019375 scopus 로고    scopus 로고
    • Local Elastic Fields Around Cracks and Their Stress Density of States
    • S. Giordano and L. Colombo, Phys. Rev. B, 76, 174120 (2007). Local Elastic Fields Around Cracks and Their Stress Density of States.
    • (2007) Phys. Rev. B , vol.76 , pp. 174120
    • Giordano, S.1    Colombo, L.2
  • 82
    • 0000929676 scopus 로고
    • The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems
    • J. D. Eshelby, Proc. R. Soc. Lond., A241, 376 (1957). The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems.
    • (1957) Proc. R. Soc. Lond. , vol.A241 , pp. 376
    • Eshelby, J.D.1
  • 83
    • 0001085508 scopus 로고
    • The Elastic Field Outside an Ellipsoidal Inclusion
    • J. D. Eshelby, Proc. R. Soc. Lond., A252, 561 (1959). The Elastic Field Outside an Ellipsoidal Inclusion.
    • (1959) Proc. R. Soc. Lond. , vol.A252 , pp. 561
    • Eshelby, J.D.1
  • 84
    • 0019677390 scopus 로고
    • Elastic Behavior of Composite Materials: Theoretical Foundations
    • L. J. Walpole, Adv. Appl. Mech., 11, 169 (1981). Elastic Behavior of Composite Materials: Theoretical Foundations.
    • (1981) Adv. Appl. Mech. , vol.11 , pp. 169
    • Walpole, L.J.1
  • 85
    • 2942571814 scopus 로고    scopus 로고
    • Differential Schemes for the Elastic Characterization of Dispersions of Randomly Oriented Ellipsoids
    • S. Giordano, Eur. J. Mech. A/Solids, 22, 885 (2003). Differential Schemes for the Elastic Characterization of Dispersions of Randomly Oriented Ellipsoids.
    • (2003) Eur. J. Mech. A/Solids , vol.22 , pp. 885
    • Giordano, S.1
  • 86
    • 33846706064 scopus 로고    scopus 로고
    • Effects of the Orientational Distribution of Cracks in Solids
    • S. Giordano and L. Colombo, Phys. Rev. Lett., 98, 055503 (2007). Effects of the Orientational Distribution of Cracks in Solids.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 055503
    • Giordano, S.1    Colombo, L.2
  • 87
    • 40749101741 scopus 로고    scopus 로고
    • Elastic Properties of Solids Containing Elliptic Cracks
    • S. Giordano and L. Colombo, Phys. Rev. B, 77, 054106 (2008). Elastic Properties of Solids Containing Elliptic Cracks.
    • (2008) Phys. Rev. B , vol.77 , pp. 054106
    • Giordano, S.1    Colombo, L.2
  • 88
    • 0016520918 scopus 로고
    • Crack and Dislocation Propagation in an Idealized Crystal Model
    • J. H. Weiner and M. Pear, J. Appl. Phys., 46, 2398 (1975). Crack and Dislocation Propagation in an Idealized Crystal Model.
    • (1975) J. Appl. Phys. , vol.46 , pp. 2398
    • Weiner, J.H.1    Pear, M.2
  • 89
    • 0001169801 scopus 로고
    • Microscopic Fracture Studies in the Two-Dimensional Triangular Lattice
    • W. T. Ashurst and W. G. Hoover, Phys. Rev. B, 14, 1465 (1976). Microscopic Fracture Studies in the Two-Dimensional Triangular Lattice.
    • (1976) Phys. Rev. B , vol.14 , pp. 1465
    • Ashurst, W.T.1    Hoover, W.G.2
  • 90
    • 0015096925 scopus 로고
    • Lattice Trapping of Fracture Cracks
    • R. Thomson, C. Hsieh, and V. Rana, J. Appl. Phys., 42, 3154 (1971). Lattice Trapping of Fracture Cracks.
    • (1971) J. Appl. Phys. , vol.42 , pp. 3154
    • Thomson, R.1    Hsieh, C.2    Rana, V.3
  • 92
    • 0038925273 scopus 로고
    • Computer Simulation of Crack Propagation
    • P. Paskin, A. Gohar, and G. J. Dienes, Phys. Rev. Lett., 44, 940 (1980). Computer Simulation of Crack Propagation.
    • (1980) Phys. Rev. Lett. , vol.44 , pp. 940
    • Paskin, P.1    Gohar, A.2    Dienes, G.J.3
  • 93
    • 0009311847 scopus 로고
    • Computer Simulation of Crack Propagation: Lattice Trapping
    • P. Paskin, D. K. Som, and G. J. Dienes, J. Phys. C, 14, L171 (1981). Computer Simulation of Crack Propagation: Lattice Trapping.
    • (1981) J. Phys. C , vol.14
    • Paskin, P.1    Som, D.K.2    Dienes, G.J.3
  • 94
    • 36749106983 scopus 로고
    • The Rheological Properties and Fracture of a Molecular Dynamic Simulation of Sodium Silicate Glass
    • T. F. Soules and R. F. Busbey, J. Chem. Phys., 78, 6307 (1983). The Rheological Properties and Fracture of a Molecular Dynamic Simulation of Sodium Silicate Glass.
    • (1983) J. Chem. Phys. , vol.78 , pp. 6307
    • Soules, T.F.1    Busbey, R.F.2
  • 95
    • 0040703050 scopus 로고
    • The Critical Behavior of Fracture Properties of Dilute Brittle Solids Near the Percolation Threshold
    • P. Ray and B. K. Chakrabarti, J. Phys. C, 18, L185 (1985). The Critical Behavior of Fracture Properties of Dilute Brittle Solids Near the Percolation Threshold.
    • (1985) J. Phys. C , vol.18
    • Ray, P.1    Chakrabarti, B.K.2
  • 96
    • 0022011029 scopus 로고
    • A Microscopic Approach to the Statistical Fracture Analysis of Disordered Brittle Solids
    • P. Ray and B. K. Chakrabarti, Solid State Commun., 53, 477 (1985). A Microscopic Approach to the Statistical Fracture Analysis of Disordered Brittle Solids.
    • (1985) Solid State Commun , vol.53 , pp. 477
    • Ray, P.1    Chakrabarti, B.K.2
  • 97
    • 0040703304 scopus 로고
    • Molecular Dynamic Study of Fracture in 2D Disordered Elastic Lennard-Jones Solids
    • B. K. Chakrabarti, D. Chowdhury, and D. Stauffer, Z. Phys. B, 62, 343 (1986). Molecular Dynamic Study of Fracture in 2D Disordered Elastic Lennard-Jones Solids.
    • (1986) Z. Phys. B , vol.62 , pp. 343
    • Chakrabarti, B.K.1    Chowdhury, D.2    Stauffer, D.3
  • 98
    • 0000860879 scopus 로고
    • Brittle-Ductile Transition in Intrinsic Fracture Behavior of Crystals
    • K. S. Cheung and S. Yip, Phys. Rev. Lett., 65, 2804 (1990). Brittle-Ductile Transition in Intrinsic Fracture Behavior of Crystals.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 2804
    • Cheung, K.S.1    Yip, S.2
  • 99
    • 0032028924 scopus 로고    scopus 로고
    • Atomistic Simulations of Materials Fracture and the Link between Atomic and Continuum Length Scales
    • F. Cleri, S. R. Phillpot, S. Yip, and D. Wolf, J. Am. Ceram. Soc., 81, 501 (1998). Atomistic Simulations of Materials Fracture and the Link between Atomic and Continuum Length Scales.
    • (1998) J. Am. Ceram. Soc. , vol.81 , pp. 501
    • Cleri, F.1    Phillpot, S.R.2    Yip, S.3    Wolf, D.4
  • 100
    • 34547105560 scopus 로고    scopus 로고
    • Atomistic Simulations of Crack Nucleation and Intergranular Fracture in Bulk Nanocrystalline Nickel
    • A. Cao and Y. Wei, Phys. Rev. B, 76, 024113 (2007). Atomistic Simulations of Crack Nucleation and Intergranular Fracture in Bulk Nanocrystalline Nickel.
    • (2007) Phys. Rev. B , vol.76 , pp. 024113
    • Cao, A.1    Wei, Y.2
  • 101
  • 102
    • 0037794568 scopus 로고    scopus 로고
    • Directional Anisotropy in the Cleavage Fracture of Silicon
    • R. Perez and P. Gumbsch, Phys. Rev. Lett., 84, 5347 (2000). Directional Anisotropy in the Cleavage Fracture of Silicon.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5347
    • Perez, R.1    Gumbsch, P.2
  • 103
    • 52949089341 scopus 로고    scopus 로고
    • Cleavage Fracture of a Crystal: Density Functional Theory Calculations Based on a Model Which Includes Structural Relaxations
    • P. Lazar and R. Podloucky, Phys. Rev. B, 78, 104114 (2008). Cleavage Fracture of a Crystal: Density Functional Theory Calculations Based on a Model Which Includes Structural Relaxations.
    • (2008) Phys. Rev. B , vol.78 , pp. 104114
    • Lazar, P.1    Podloucky, R.2
  • 104
    • 0344415903 scopus 로고    scopus 로고
    • Modeling Brittle and Semi-Brittle Fracture Processes
    • P. Gumbsch, Mat. Sci. Eng. A, 319, 1 (2001). Modeling Brittle and Semi-Brittle Fracture Processes.
    • (2001) Mat. Sci. Eng. A , vol.319 , pp. 1
    • Gumbsch, P.1
  • 105
    • 0242710633 scopus 로고    scopus 로고
    • Dynamical Brittle Fractures of Nanocrystalline Silicon using Large-Scale Electronic Structure Calculations
    • T. Hoshi and T. Fujiwara, J. Phys. Soc. Jpn., 72, 2429 (2003). Dynamical Brittle Fractures of Nanocrystalline Silicon using Large-Scale Electronic Structure Calculations.
    • (2003) J. Phys. Soc. Jpn. , vol.72 , pp. 2429
    • Hoshi, T.1    Fujiwara, T.2
  • 106
    • 0000260279 scopus 로고    scopus 로고
    • Quantum Mechanical Simulations of Microfracture in Complex Materials
    • G. Galli, F. Gygi, and A. Catellani, Phys. Rev. Lett., 82, 3476 (1999). Quantum Mechanical Simulations of Microfracture in Complex Materials.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 3476
    • Galli, G.1    Gygi, F.2    Catellani, A.3
  • 108
    • 0032534356 scopus 로고    scopus 로고
    • Spanning the Continuum to Quantum Length Scales in a Dynamic Simulation of Brittle Fracture
    • F. F. Abraham, J. Q. Broughton, N. Bernstein, and E. Kaxiras, Eur. Phys. Lett., 44, 783 (1998). Spanning the Continuum to Quantum Length Scales in a Dynamic Simulation of Brittle Fracture.
    • (1998) Eur. Phys. Lett. , vol.44 , pp. 783
    • Abraham, F.F.1    Broughton, J.Q.2    Bernstein, N.3    Kaxiras, E.4
  • 109
    • 33244470401 scopus 로고    scopus 로고
    • From Electrons to Finite Elements: A Concurrent Multiscale Approach for Metals
    • G. Lu and E. B. Tadmor, and E. Kaxiras, Phys. Rev. B, 73, 024108 (2006). From Electrons to Finite Elements: A Concurrent Multiscale Approach for Metals.
    • (2006) Phys. Rev. B , vol.73 , pp. 024108
    • Lu, G.1    Tadmor, E.B.2    Kaxiras, E.3
  • 110
    • 19744381314 scopus 로고    scopus 로고
    • Learn on the Fly: A Hybrid Classical and Quantum-Mechanical Molecular Dynamics Simulation
    • C. Csanyi, T. Albaret, M. C. Payne, and A. De Vita, Phys. Rev. Lett., 93, 175503 (2004). Learn on the Fly: A Hybrid Classical and Quantum-Mechanical Molecular Dynamics Simulation.
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 175503
    • Csanyi, C.1    Albaret, T.2    Payne, M.C.3    De Vita, A.4
  • 111
    • 33644894526 scopus 로고    scopus 로고
    • Multiparadigm Modeling of Dynamical Crack Propagation in Silicon Using a Reactive Force Field
    • M. J. Buehler, A. C. T. van Duin, and W. A. Goddard III, Phys. Rev. Lett., 96, 095505 (2006). Multiparadigm Modeling of Dynamical Crack Propagation in Silicon Using a Reactive Force Field.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 095505
    • Buehler, M.J.1    van Duin, A.C.T.2    Goddard W.A. III3
  • 112
    • 34547675884 scopus 로고    scopus 로고
    • Fracture Mechanics of Protein Materials
    • M. Buehler and T. Ackbarow, Materials Today, 10, 46 (2007). Fracture Mechanics of Protein Materials.
    • (2007) Materials Today , vol.10 , pp. 46
    • Buehler, M.1    Ackbarow, T.2
  • 115
    • 36449000616 scopus 로고
    • Lattice Instability in ̌-SiC and Simulation of Brittle Fracture
    • M. Tang and S. Yip, J. Appl. Phys., 76, 2719 (1994). Lattice Instability in ̌-SiC and Simulation of Brittle Fracture.
    • (1994) J. Appl. Phys. , vol.76 , pp. 2719
    • Tang, M.1    Yip, S.2
  • 116
    • 27144496991 scopus 로고    scopus 로고
    • Atomic Scale Origin of Crack Resistance in Brittle Fracture
    • A. Mattoni, L. Colombo, and F. Cleri, Phys. Rev. Lett., 95, 115501 (2005). Atomic Scale Origin of Crack Resistance in Brittle Fracture.
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 115501
    • Mattoni, A.1    Colombo, L.2    Cleri, F.3
  • 117
    • 0036147530 scopus 로고    scopus 로고
    • Representation of Mechanical Loads in Molecular Dynamics Simulations
    • F. Cleri, Phys. Rev. B, 65, 014107 (2002). Representation of Mechanical Loads in Molecular Dynamics Simulations.
    • (2002) Phys. Rev. B , vol.65 , pp. 014107
    • Cleri, F.1
  • 119
    • 0036647579 scopus 로고    scopus 로고
    • Mechanisms of Toughening and Strengthening in Ceramic-Based Nanocomposites
    • H. Awaji, S. M. Choi, and E. Yagi, Mech. Mater., 34, 411 (2002). Mechanisms of Toughening and Strengthening in Ceramic-Based Nanocomposites.
    • (2002) Mech. Mater. , vol.34 , pp. 411
    • Awaji, H.1    Choi, S.M.2    Yagi, E.3
  • 120
    • 1542349087 scopus 로고    scopus 로고
    • Nanocrystalline-Matrix Ceramic Composites for Improved Fracture Toughness
    • J. D. Kuntz, G. Zhan, and A. K. Mukherjee, Mat. Res. Bull., 29, 22 (2004). Nanocrystalline-Matrix Ceramic Composites for Improved Fracture Toughness.
    • (2004) Mat. Res. Bull. , vol.29 , pp. 22
    • Kuntz, J.D.1    Zhan, G.2    Mukherjee, A.K.3
  • 121
    • 17644372364 scopus 로고    scopus 로고
    • SiC-Matrix Composites: Nonbrittle Ceramics for Thermo-Structural Applications
    • R. Naslain, Int. J. Appl. Ceram. Technol., 2, 73 (2005). SiC-Matrix Composites: Nonbrittle Ceramics for Thermo-Structural Applications.
    • (2005) Int. J. Appl. Ceram. Technol. , vol.2 , pp. 73
    • Naslain, R.1
  • 122
  • 123
  • 124
    • 0037334958 scopus 로고    scopus 로고
    • Some Simple Formulas to Predict the Variation of Stress Intensity Factors for Mode I Crack Induced by Near Crack-Tip Inclusion
    • Z. Li and Q. Chen, Eng. Fract. Mech., 70, 581 (2003). Some Simple Formulas to Predict the Variation of Stress Intensity Factors for Mode I Crack Induced by Near Crack-Tip Inclusion.
    • (2003) Eng. Fract. Mech. , vol.70 , pp. 581
    • Li, Z.1    Chen, Q.2
  • 125
    • 0033343566 scopus 로고    scopus 로고
    • Stress Intensity Factors for a Crack in Front of an Inclusion
    • J. Helsing, Eng. Fract. Mech., 64, 245 (1999). Stress Intensity Factors for a Crack in Front of an Inclusion.
    • (1999) Eng. Fract. Mech. , vol.64 , pp. 245
    • Helsing, J.1
  • 127
    • 34347354247 scopus 로고    scopus 로고
    • Failure Strength of Brittle Materials Containing Nanovoids
    • M. Ippolito, A. Mattoni, N. Pugno, and L. Colombo, Phys. Rev. B, 75, 224110 (2007). Failure Strength of Brittle Materials Containing Nanovoids.
    • (2007) Phys. Rev. B , vol.75 , pp. 224110
    • Ippolito, M.1    Mattoni, A.2    Pugno, N.3    Colombo, L.4
  • 128
    • 19744381023 scopus 로고    scopus 로고
    • Crack-Tip Stress Shielding by a Hard Fiber in β-SiC: An Atomistic Study
    • A. Mattoni, L. Colombo, and F. Cleri, Phys. Rev. B, 70, 094108 (2004). Crack-Tip Stress Shielding by a Hard Fiber in β-SiC: An Atomistic Study.
    • (2004) Phys. Rev. B , vol.70 , pp. 094108
    • Mattoni, A.1    Colombo, L.2    Cleri, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.