메뉴 건너뛰기




Volumn 22, Issue 6, 2010, Pages 505-514

The critical velocity of mode-I fracture in a non-linear lattice in the absence of viscosity

Author keywords

Critical velocity; Mode I fracture; Stability analysis

Indexed keywords

COMPLEX DYNAMICS; CRITICAL VELOCITIES; HIGH VELOCITY; MACROSCOPIC BEHAVIORS; MODE-I FRACTURE; NEW STUDY; NON-LINEAR; NONLINEAR FORCE; POTENTIAL PARAMETERS; STABILITY ANALYSIS; STEADY-STATE BEHAVIORS; VISCOUS FORCES;

EID: 78650177459     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-010-0158-5     Document Type: Article
Times cited : (5)

References (30)
  • 4
    • 11944275951 scopus 로고
    • Local crack branching as a mechanism for instability in dynamic fracture
    • Sharon, E., Gross, S.P., Fineberg, J.: Local crack branching as a mechanism for instability in dynamic fracture. Phys. Rev. Lett. 74, 5096-5099 (1995)
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 5096-5099
    • Sharon, E.1    Gross, S.P.2    Fineberg, J.3
  • 5
    • 0001064953 scopus 로고    scopus 로고
    • Energy dissipation in dynamic fracture
    • Sharon, E., Gross, S.P., Fineberg, J.: Energy dissipation in dynamic fracture. Phys. Rev. Lett. 76, 2117-2120 (1996)
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2117-2120
    • Sharon, E.1    Gross, S.P.2    Fineberg, J.3
  • 7
    • 0041876727 scopus 로고    scopus 로고
    • Instability in dynamic fracture
    • Fineberg, J., Marder, M.: Instability in dynamic fracture. Phys. Rep. 313, 2-108 (1999)
    • (1999) Phys. Rep. , vol.313 , pp. 2-108
    • Fineberg, J.1    Marder, M.2
  • 8
    • 0345064192 scopus 로고    scopus 로고
    • Hyperelasticity governs dynamic fracture at a critical length scale
    • Buehler, M.J., Abraham, F.F., Gao, H.: Hyperelasticity governs dynamic fracture at a critical length scale. Nature 426, 141-146 (2003)
    • (2003) Nature , vol.426 , pp. 141-146
    • Buehler, M.J.1    Abraham, F.F.2    Gao, H.3
  • 9
    • 41349120201 scopus 로고    scopus 로고
    • Mode-I fracture in a nonlinear lattice with viscoelastic forces
    • Heizler, S.I., Kessler, D.A., Levine, H.: Mode-I fracture in a nonlinear lattice with viscoelastic forces. Phys. Rev. E 66, 016126-1-016126-10 (2002)
    • (2002) Phys. Rev. E , vol.66 , pp. 0161261-01612610
    • Heizler, S.I.1    Kessler, D.A.2    Levine, H.3
  • 10
    • 31144457411 scopus 로고    scopus 로고
    • Dynamical fracture instabilities due to local hyperelasticity at crack tips
    • DOI 10.1038/nature04408, PII NATURE04408
    • Buehler, M.J., Gao, H.:Dynamical fracture instabilities due to local hyperelasticity at crack tips. Nature 439, 307-310 (2006) (Pubitemid 43128851)
    • (2006) Nature , vol.439 , Issue.7074 , pp. 307-310
    • Buehler, M.J.1    Gao, H.2
  • 11
    • 0242495204 scopus 로고    scopus 로고
    • Does the continuum theory of dynamic fracturework?
    • Kessler,D.A., Levine,H.: Does the continuum theory of dynamic fracturework?. Phys.Rev.E68, 036118-1-036118-4 (2003)
    • (2003) Phys.Rev. , Issue.E68 , pp. 0361181-0361184
    • Kessler, D.A.1    Levine, H.2
  • 12
    • 34548145439 scopus 로고
    • Origin of crack tip instabilities
    • Marder, M., Gross, S.: Origin of crack tip instabilities. J. Mech. Phys. Solids 43, 1-48 (1995)
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 1-48
    • Marder, M.1    Gross, S.2
  • 13
    • 0001106029 scopus 로고
    • The moving Griffith crack
    • Yoffe, E.H.: The moving Griffith crack. Philos. Mag. 42, 739-750 (1951)
    • (1951) Philos. Mag. , vol.42 , pp. 739-750
    • Yoffe, E.H.1
  • 14
    • 0010515958 scopus 로고
    • Fracture mechanics
    • Eshelby, J.D.: Fracture mechanics. Sci. Prog. 59, 161-179 (1971)
    • (1971) Sci. Prog. , vol.59 , pp. 161-179
    • Eshelby, J.D.1
  • 15
    • 0000567956 scopus 로고
    • Dynamics of a crack in a lattice
    • Slepyan, L.I.: Dynamics of a crack in a lattice. Doklady Akademii Nauk SSSR 258, 561-564 (1981)
    • (1981) Doklady Akademii Nauk SSSR , vol.258 , pp. 561-564
    • Slepyan, L.I.1
  • 17
    • 12044252432 scopus 로고
    • Instability in lattice fracture
    • Marder, M., Liu, X.: Instability in lattice fracture. Phys. Rev. Lett. 71, 2417-2420 (1993)
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2417-2420
    • Marder, M.1    Liu, X.2
  • 18
    • 0001339078 scopus 로고    scopus 로고
    • Steady-state cracks in viscoelastic lattice models
    • Kessler, D.A., Levine, H.: Steady-state cracks in viscoelastic lattice models. Phys. Rev. E 59, 5154-5164 (1998)
    • (1998) Phys. Rev. E , vol.59 , pp. 5154-5164
    • Kessler, D.A.1    Levine, H.2
  • 19
    • 0000970316 scopus 로고    scopus 로고
    • Steady-state cracks in viscoelastic lattice models. II
    • Kessler, D.A.: Steady-state cracks in viscoelastic lattice models. II. Phys. Rev. E 61, 2348-2360 (2000)
    • (2000) Phys. Rev. E , vol.61 , pp. 2348-2360
    • Kessler, D.A.1
  • 20
    • 0036495274 scopus 로고    scopus 로고
    • Steady-state mode I cracks in a viscoelastic triangular lattice
    • Pechenik, L., Levine, H., Kessler, D.A.: Steady-state mode I cracks in a viscoelastic triangular lattice. J. Mech. Phys. Solids 50, 583-613 (2002)
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 583-613
    • Pechenik, L.1    Levine, H.2    Kessler, D.A.3
  • 21
    • 0001540343 scopus 로고    scopus 로고
    • Large-scale molecular dynamics simulations of three-dimensional ductile failure
    • Zhou, S.J., Beazley, D.M., Lomdahl, P.S., Holian, B.L.: Large-scale molecular dynamics simulations of three-dimensional ductile failure. Phys. Rev. Lett. 78, 479-482 (1997)
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 479-482
    • Zhou, S.J.1    Beazley, D.M.2    Lomdahl, P.S.3    Holian, B.L.4
  • 22
    • 0000874219 scopus 로고    scopus 로고
    • Molecular dynamics investigation of dynamic crack stability
    • Gumbsch, P., Zhou, S.J., Holian, B.L.:Molecular dynamics investigation of dynamic crack stability. Phys. Rev. B 55, 3445-3455 (1997)
    • (1997) Phys. Rev. B , vol.55 , pp. 3445-3455
    • Gumbsch, P.1    Zhou, S.J.2    Holian, B.L.3
  • 23
    • 11544346413 scopus 로고    scopus 로고
    • Ideal brittle fracture of silicon studied with molecular dynamics
    • Holland, D.,Marder, M.: Ideal brittle fracture of silicon studied with molecular dynamics. Phys.Rev.Lett. 80, 746-749 (1997)
    • (1997) Phys.Rev.Lett. , Issue.80 , pp. 746-749
    • Holland D.Marder, M.1
  • 24
    • 58149347779 scopus 로고    scopus 로고
    • Breakdown of linear elastic fracture mechanics near the tip of a rapid crack
    • Livne, A., Bouchbinder, E., Fineberg, J.: Breakdown of linear elastic fracture mechanics near the tip of a rapid crack. Phys. Rev. Lett. 101, 264301-1-264301-4 (2008)
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 2643011-2643014
    • Livne, A.1    Bouchbinder, E.2    Fineberg, J.3
  • 25
    • 58149352980 scopus 로고    scopus 로고
    • Weakly nonlinear theory of dynamic fracture
    • Bouchbinder, E., Livne, A., Fineberg, J.: Weakly nonlinear theory of dynamic fracture. Phys. Rev. Lett. 101, 264302-1- 264302-4 (2008)
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 2643021-2643024
    • Bouchbinder, E.1    Livne, A.2    Fineberg, J.3
  • 26
    • 14544285395 scopus 로고    scopus 로고
    • Unstable crack motion is predictable
    • Abraham, F.F.: Unstable crack motion is predictable. J. Mech. Phys. Solids 53, 1071-1078 (2005)
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1071-1078
    • Abraham, F.F.1
  • 27
    • 78650173263 scopus 로고    scopus 로고
    • Bond-breaking relaxation governs onset of the fracture instability
    • Abraham, F.F.: Bond-breaking relaxation governs onset of the fracture instability. Open Mech. J. 1, 38-40 (2007)
    • (2007) Open Mech. J. , vol.1 , pp. 38-40
    • Abraham, F.F.1
  • 28
    • 0001559506 scopus 로고    scopus 로고
    • Arrested cracks in nonlinear lattice models of brittle fracture
    • Kessler, D.A., Levine, H.: Arrested cracks in nonlinear lattice models of brittle fracture. Phys. Rev. E 60, 7569-7571 (1999)
    • (1999) Phys. Rev. E , vol.60 , pp. 7569-7571
    • Kessler, D.A.1    Levine, H.2
  • 29
    • 18644385076 scopus 로고    scopus 로고
    • Nonlinear lattice model of viscoelastic mode-III fracture
    • Kessler, D.A., Levine, H.: Nonlinear lattice model of viscoelastic mode-III fracture. Phys. Rev. E 63, 016118-1-016118-9 (2000)
    • (2000) Phys. Rev. E , vol.63 , pp. 0161181-0161189
    • Kessler, D.A.1    Levine, H.2
  • 30
    • 0031119420 scopus 로고    scopus 로고
    • Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic
    • Gao, H., Zhang, T.Y., Tong, P.: Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids 45, 491-510 (1997)
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 491-510
    • Gao, H.1    Zhang, T.Y.2    Tong, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.