메뉴 건너뛰기




Volumn 75, Issue 5, 2008, Pages 1127-1142

Discrete fractal fracture mechanics

Author keywords

Crack roughening; Discrete fracture; Fractal fracture mechanics; Quantized fracture

Indexed keywords

BRITTLE FRACTURE; CRACK PROPAGATION; FRACTALS; MATHEMATICAL MODELS; SOLIDS;

EID: 36749004286     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2007.04.020     Document Type: Article
Times cited : (42)

References (65)
  • 2
    • 0031131244 scopus 로고    scopus 로고
    • Physics of fracture and mechanics of self-affine cracks
    • Balankin A.S. Physics of fracture and mechanics of self-affine cracks. Engng Fract Mech 57 2 (1997) 135-203
    • (1997) Engng Fract Mech , vol.57 , Issue.2 , pp. 135-203
    • Balankin, A.S.1
  • 3
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium of crack in brittle fracture
    • Barenblatt G.I. The mathematical theory of equilibrium of crack in brittle fracture. Adv Appl Mech 7 (1962) 55-129
    • (1962) Adv Appl Mech , vol.7 , pp. 55-129
    • Barenblatt, G.I.1
  • 4
    • 0031061907 scopus 로고    scopus 로고
    • Some fractal models of fracture
    • Borodich F.M. Some fractal models of fracture. J Mech Phys Solids 45 2 (1997) 239-259
    • (1997) J Mech Phys Solids , vol.45 , Issue.2 , pp. 239-259
    • Borodich, F.M.1
  • 5
    • 0344288274 scopus 로고    scopus 로고
    • Scaling properties of cracks
    • Bouchaud E. Scaling properties of cracks. J Phys-Condens Matter 9 (1997) 4319-4344
    • (1997) J Phys-Condens Matter , vol.9 , pp. 4319-4344
    • Bouchaud, E.1
  • 7
    • 0028374089 scopus 로고
    • Scaling laws and renormalization-groups for strength and toughness of disordered materials
    • Carpinteri A. Scaling laws and renormalization-groups for strength and toughness of disordered materials. Int J Solids Struct 31 (1994) 291-302
    • (1994) Int J Solids Struct , vol.31 , pp. 291-302
    • Carpinteri, A.1
  • 8
    • 0030465094 scopus 로고    scopus 로고
    • Crack-resistance behavior as a consequence of self-similar fracture topologies
    • Carpinteri A., and Chiaia B. Crack-resistance behavior as a consequence of self-similar fracture topologies. Int J Fract 76 (1996) 327-340
    • (1996) Int J Fract , vol.76 , pp. 327-340
    • Carpinteri, A.1    Chiaia, B.2
  • 9
    • 13844266317 scopus 로고    scopus 로고
    • Fracture instability and limit strength condition in structures with re-entrant corners
    • Carpinteri A., and Pugno N. Fracture instability and limit strength condition in structures with re-entrant corners. Engng Fract Mech 72 (2005) 1254-1267
    • (2005) Engng Fract Mech , vol.72 , pp. 1254-1267
    • Carpinteri, A.1    Pugno, N.2
  • 10
    • 0025496941 scopus 로고
    • Quantum fracture mechanics
    • Cherepanov G.P. Quantum fracture mechanics. Strength Mater 22 2 (1990) 155-163
    • (1990) Strength Mater , vol.22 , Issue.2 , pp. 155-163
    • Cherepanov, G.P.1
  • 12
    • 33745662202 scopus 로고    scopus 로고
    • Finite fracture mechanics: a coupled stress and energy failure criterion
    • Cornetti P., Pugno N., Carpinteri A., and Taylor D. Finite fracture mechanics: a coupled stress and energy failure criterion. Engng Fract Mech 73 (2006) 2021-2033
    • (2006) Engng Fract Mech , vol.73 , pp. 2021-2033
    • Cornetti, P.1    Pugno, N.2    Carpinteri, A.3    Taylor, D.4
  • 13
    • 0000988546 scopus 로고
    • Elastic field equations for blunt cracks with reference to stress corrosion cracking
    • Creager M., and Paris P.C. Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int J Fract 3 (1967) 247-252
    • (1967) Int J Fract , vol.3 , pp. 247-252
    • Creager, M.1    Paris, P.C.2
  • 14
    • 50549180512 scopus 로고
    • Yielding of steel sheets containing slits
    • Dugdale D.S. Yielding of steel sheets containing slits. J Mech Phys Solids 8 (1960) 100-104
    • (1960) J Mech Phys Solids , vol.8 , pp. 100-104
    • Dugdale, D.S.1
  • 15
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion, and related problems
    • Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc Roy Soc Lond Ser A 241 (1957) 376-396
    • (1957) Proc Roy Soc Lond Ser A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 16
    • 0001826268 scopus 로고
    • The force on an elastic singularity
    • Eshelby J.D. The force on an elastic singularity. Philos Trans A244 (1951) 87-112
    • (1951) Philos Trans , vol.A244 , pp. 87-112
    • Eshelby, J.D.1
  • 17
    • 36749082427 scopus 로고    scopus 로고
    • Eshelby JD. Energy relations and the energy-momentum tensor in continuum mechanics. In: Kanninen MF, et al., editor. Inelastic behavior of solids; 1970.
  • 18
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • Eshelby J.D. The elastic energy-momentum tensor. J Elasticity 5 3-4 (1975) 321-335
    • (1975) J Elasticity , vol.5 , Issue.3-4 , pp. 321-335
    • Eshelby, J.D.1
  • 19
    • 0016919186 scopus 로고
    • Lattice theory of 3-dimensional cracks
    • Esterling D.M. Lattice theory of 3-dimensional cracks. J Appl Phys 47 (1976) 486-493
    • (1976) J Appl Phys , vol.47 , pp. 486-493
    • Esterling, D.M.1
  • 20
    • 0000782072 scopus 로고
    • Cracks with a fractal surface
    • Goldshteǐn R.V., and Mosolov A.A. Cracks with a fractal surface. Sov Phys Dokl 38 8 (1991) 603-605
    • (1991) Sov Phys Dokl , vol.38 , Issue.8 , pp. 603-605
    • Goldshteǐn, R.V.1    Mosolov, A.A.2
  • 22
    • 0000357002 scopus 로고
    • The phenomenon of rupture and flow in solids
    • Griffith A.A. The phenomenon of rupture and flow in solids. Philos Trans Roy Soc Lond A221 (1921) 163-198
    • (1921) Philos Trans Roy Soc Lond , vol.A221 , pp. 163-198
    • Griffith, A.A.1
  • 23
    • 0015626366 scopus 로고
    • Lattice theory of fracture and crack creep
    • Hsieh C., and Thomson R. Lattice theory of fracture and crack creep. J Appl Phys 44 (1973) 2051-2063
    • (1973) J Appl Phys , vol.44 , pp. 2051-2063
    • Hsieh, C.1    Thomson, R.2
  • 24
    • 0001536249 scopus 로고
    • Stresses in a plate due to presence of cracks and sharp notches
    • Inglis C.E. Stresses in a plate due to presence of cracks and sharp notches. Trans Inst Nav Archit 55 (1913) 219-241
    • (1913) Trans Inst Nav Archit , vol.55 , pp. 219-241
    • Inglis, C.E.1
  • 25
    • 33645057463 scopus 로고    scopus 로고
    • Role of lattice discreteness on brittle fracture: atomistic simulations versus analytical models
    • Ippolito M., Mattoni A., Colombo L., and Pugno N. Role of lattice discreteness on brittle fracture: atomistic simulations versus analytical models. Phys Rev B 73 (2006) 104111
    • (2006) Phys Rev B , vol.73 , pp. 104111
    • Ippolito, M.1    Mattoni, A.2    Colombo, L.3    Pugno, N.4
  • 26
    • 85123615747 scopus 로고
    • Analysis of stresses and strains near the end of a crack traversing a plate
    • Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24 (1957) 361-364
    • (1957) J Appl Mech , vol.24 , pp. 361-364
    • Irwin, G.R.1
  • 27
    • 0000602614 scopus 로고
    • Fracture I
    • Flügge (Ed), Springer
    • Irwin G.R. Fracture I. In: Flügge (Ed). Handbuck der Physik VI (1958), Springer 558-590
    • (1958) Handbuck der Physik VI , pp. 558-590
    • Irwin, G.R.1
  • 28
    • 0032207005 scopus 로고    scopus 로고
    • A comparative analysis of several nonlocal fracture criteria
    • Isupov L.P., and Mikhailov S.E. A comparative analysis of several nonlocal fracture criteria. Arch Appl Mech 68 (1998) 597-612
    • (1998) Arch Appl Mech , vol.68 , pp. 597-612
    • Isupov, L.P.1    Mikhailov, S.E.2
  • 29
    • 33749607768 scopus 로고    scopus 로고
    • On the "local approach" to the brittle fracture of structural materials
    • Krasovs'kyi A.Y. On the "local approach" to the brittle fracture of structural materials. Mater Sci 42 (2006) 183-188
    • (2006) Mater Sci , vol.42 , pp. 183-188
    • Krasovs'kyi, A.Y.1
  • 30
    • 0036129065 scopus 로고    scopus 로고
    • Strength or toughness? A criterion for crack onset at a notch
    • Leguillon D. Strength or toughness? A criterion for crack onset at a notch. Eur J Mech A-Solids 21 (2002) 61-72
    • (2002) Eur J Mech A-Solids , vol.21 , pp. 61-72
    • Leguillon, D.1
  • 31
    • 6244232696 scopus 로고
    • Fractal character of fracture surfaces of metals
    • Mandelbrot B.B., Passoja D.E., and Paullay A.J. Fractal character of fracture surfaces of metals. Nature 308 (1984) 721-722
    • (1984) Nature , vol.308 , pp. 721-722
    • Mandelbrot, B.B.1    Passoja, D.E.2    Paullay, A.J.3
  • 32
    • 0002538533 scopus 로고    scopus 로고
    • Molecular dynamics of cracks
    • Marder M. Molecular dynamics of cracks. Comput Sci Engng 1 (1999) 48-55
    • (1999) Comput Sci Engng , vol.1 , pp. 48-55
    • Marder, M.1
  • 33
    • 2442604351 scopus 로고    scopus 로고
    • Cracks cleave crystals
    • Marder M. Cracks cleave crystals. Europhys Lett 66 (2004) 364-370
    • (2004) Europhys Lett , vol.66 , pp. 364-370
    • Marder, M.1
  • 34
    • 34548145439 scopus 로고
    • Origin of crack-tip instabilities
    • Marder M., and Gross S. Origin of crack-tip instabilities. J Mech Phys Solids 43 (1995) 1-48
    • (1995) J Mech Phys Solids , vol.43 , pp. 1-48
    • Marder, M.1    Gross, S.2
  • 35
    • 12044252432 scopus 로고
    • Instability in lattice fracture
    • Marder M., and Liu X.M. Instability in lattice fracture. Phys Rev Lett 71 (1993) 2417-2420
    • (1993) Phys Rev Lett , vol.71 , pp. 2417-2420
    • Marder, M.1    Liu, X.M.2
  • 38
    • 27144496991 scopus 로고    scopus 로고
    • Atomic scale origin of crack resistance in brittle fracture
    • Mattoni A., Colombo L., and Cleri F. Atomic scale origin of crack resistance in brittle fracture. Phys Rev Lett 95 (2005) 115501
    • (2005) Phys Rev Lett , vol.95 , pp. 115501
    • Mattoni, A.1    Colombo, L.2    Cleri, F.3
  • 39
    • 0036002967 scopus 로고    scopus 로고
    • Quantum nature and dual character of fracture dynamics in solids
    • Morozov N.F., and Petrov Y.V. Quantum nature and dual character of fracture dynamics in solids. Dokl Phys 47 (2002) 85-88
    • (2002) Dokl Phys , vol.47 , pp. 85-88
    • Morozov, N.F.1    Petrov, Y.V.2
  • 40
    • 0001212139 scopus 로고
    • Cracks with fractal surfaces
    • Mosolov A.A. Cracks with fractal surfaces. Dokl Akad Nauk SSSR 319 4 (1991) 840-844
    • (1991) Dokl Akad Nauk SSSR , vol.319 , Issue.4 , pp. 840-844
    • Mosolov, A.A.1
  • 42
    • 0014482467 scopus 로고
    • On a necessary and sufficient criterion for brittle strength
    • Novozhilov V.V. On a necessary and sufficient criterion for brittle strength. J Appl Math Mech-USSR 33 (1969) 212-222
    • (1969) J Appl Math Mech-USSR , vol.33 , pp. 212-222
    • Novozhilov, V.V.1
  • 43
    • 0001320993 scopus 로고
    • Energy criteria of fracture
    • Orowan E. Energy criteria of fracture. Weld J 34 (1955) S157-S160
    • (1955) Weld J , vol.34
    • Orowan, E.1
  • 44
    • 4544308888 scopus 로고    scopus 로고
    • Quantized fracture mechanics
    • Pugno N., and Ruoff R.S. Quantized fracture mechanics. Philos Mag 84 27 (2004) 2829-2845
    • (2004) Philos Mag , vol.84 , Issue.27 , pp. 2829-2845
    • Pugno, N.1    Ruoff, R.S.2
  • 45
    • 7444267453 scopus 로고    scopus 로고
    • Predictions of strength in MEMS components with defects - a novel experimental-theoretical approach
    • Pugno N., Peng B., and Espinosa H.D. Predictions of strength in MEMS components with defects - a novel experimental-theoretical approach. Int J Solids Struct 42 (2005) 647-661
    • (2005) Int J Solids Struct , vol.42 , pp. 647-661
    • Pugno, N.1    Peng, B.2    Espinosa, H.D.3
  • 46
    • 33746908058 scopus 로고    scopus 로고
    • Dynamic quantized fracture mechanics
    • Pugno N. Dynamic quantized fracture mechanics. Int J Fract 140 (2006) 159-168
    • (2006) Int J Fract , vol.140 , pp. 159-168
    • Pugno, N.1
  • 47
    • 38549086965 scopus 로고    scopus 로고
    • Pugno N, Carpinteri A, Ippolito M, Mattoni A, Colombo L. Atomistic fracture, QFM vs. MD. Engng Fract Mech, in press. doi:10.1016/j.engfracmech.2007.01.028.
  • 48
    • 84980287971 scopus 로고
    • A path independent integral and the approximate analysis of strain concentration by notches and cracks
    • Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35 (1968) 379-386
    • (1968) J Appl Mech , vol.35 , pp. 379-386
    • Rice, J.R.1
  • 49
    • 0015981144 scopus 로고
    • Limitations to small-scale yielding approximation for crack tip plasticity
    • Rice J.R. Limitations to small-scale yielding approximation for crack tip plasticity. J Mech Phys Solids 22 (1974) 17-26
    • (1974) J Mech Phys Solids , vol.22 , pp. 17-26
    • Rice, J.R.1
  • 50
    • 49349121254 scopus 로고
    • Continuing crack-tip deformation and fracture for plane-strain crack growth in elastic-plastic solids
    • Rice J.R., and Sorensen E.P. Continuing crack-tip deformation and fracture for plane-strain crack growth in elastic-plastic solids. J Mech Phys Solids 26 (1978) 163-186
    • (1978) J Mech Phys Solids , vol.26 , pp. 163-186
    • Rice, J.R.1    Sorensen, E.P.2
  • 51
    • 0019096477 scopus 로고    scopus 로고
    • Rice JR, Drugan WJ, Sham TL. Elasticplastic analysis of growing cracks. In: Fracture mechanics, 12th conference, ASTM STP 700; 1980.
  • 52
    • 0028385047 scopus 로고
    • Brittle-fracture criterion for structures with sharp notches
    • Seweryn A. Brittle-fracture criterion for structures with sharp notches. Engng Fract Mech 47 (1994) 673-681
    • (1994) Engng Fract Mech , vol.47 , pp. 673-681
    • Seweryn, A.1
  • 53
    • 0019602712 scopus 로고
    • Relationships between the J-integral and the crack opening displacement for stationary and extending cracks
    • Shih C.F. Relationships between the J-integral and the crack opening displacement for stationary and extending cracks. J Mech Phys Solids 29 (1981) 305-326
    • (1981) J Mech Phys Solids , vol.29 , pp. 305-326
    • Shih, C.F.1
  • 54
    • 12444295536 scopus 로고    scopus 로고
    • The fracture mechanics of finite crack extension
    • Taylor D., Cornetti P., and Pugno N. The fracture mechanics of finite crack extension. Engng Fract Mech 72 (2005) 1021-1038
    • (2005) Engng Fract Mech , vol.72 , pp. 1021-1038
    • Taylor, D.1    Cornetti, P.2    Pugno, N.3
  • 55
    • 0015096925 scopus 로고
    • Lattice trapping of fracture cracks
    • Thomson R., Hsieh C., and Rana V. Lattice trapping of fracture cracks. J Appl Phys 42 (1971) 3154-3160
    • (1971) J Appl Phys , vol.42 , pp. 3154-3160
    • Thomson, R.1    Hsieh, C.2    Rana, V.3
  • 56
    • 0041332439 scopus 로고
    • Accelerating crack in a viscoelastic solid Subject to subcritical stress intensity
    • Sih G.C. (Ed), Lehigh University, Noordhoff, Leyden, The Netherlands
    • Wnuk M.P. Accelerating crack in a viscoelastic solid Subject to subcritical stress intensity. In: Sih G.C. (Ed). Proceedings of the international conference on dynamic crack propagation (1972), Lehigh University, Noordhoff, Leyden, The Netherlands 273-280
    • (1972) Proceedings of the international conference on dynamic crack propagation , pp. 273-280
    • Wnuk, M.P.1
  • 57
    • 0016034446 scopus 로고
    • Quasi-static extension of a tensile crack contained in a viscoelastic-plastic solid
    • Wnuk M.P. Quasi-static extension of a tensile crack contained in a viscoelastic-plastic solid. J Appl Mech 41 (1974) 234-242
    • (1974) J Appl Mech , vol.41 , pp. 234-242
    • Wnuk, M.P.1
  • 58
    • 0011501756 scopus 로고
    • Mathematical modeling of nonlinear phenomena in fracture mechanics
    • Wnuk M.P. (Ed), Springer, Berlin
    • Wnuk M.P. Mathematical modeling of nonlinear phenomena in fracture mechanics. In: Wnuk M.P. (Ed). Nonlinear fracture mechanics (1990), Springer, Berlin
    • (1990) Nonlinear fracture mechanics
    • Wnuk, M.P.1
  • 59
    • 0038526389 scopus 로고    scopus 로고
    • On estimating stress intensity factors and modulus of cohesion for fractal cracks
    • Wnuk M.P., and Yavari A. On estimating stress intensity factors and modulus of cohesion for fractal cracks. Engng Fract Mech 70 (2003) 1659-1674
    • (2003) Engng Fract Mech , vol.70 , pp. 1659-1674
    • Wnuk, M.P.1    Yavari, A.2
  • 60
    • 25444469462 scopus 로고    scopus 로고
    • A correspondence principle for fractal and classical cracks
    • Wnuk M.P., and Yavari A. A correspondence principle for fractal and classical cracks. Engng Fract Mech 72 (2005) 2744-2757
    • (2005) Engng Fract Mech , vol.72 , pp. 2744-2757
    • Wnuk, M.P.1    Yavari, A.2
  • 61
    • 0024907187 scopus 로고
    • The fractal effect of irregularity of crack branching on the fracture toughness of brittle materials
    • Xie H. The fractal effect of irregularity of crack branching on the fracture toughness of brittle materials. Int J Fract 41 (1989) 267-274
    • (1989) Int J Fract , vol.41 , pp. 267-274
    • Xie, H.1
  • 62
    • 33845328797 scopus 로고
    • Fractal effects of crack propagation on dynamic stress intensity factors and crack velocities
    • Xie H., and Sanderson D.J. Fractal effects of crack propagation on dynamic stress intensity factors and crack velocities. Int J Fract 74 (1995) 29-42
    • (1995) Int J Fract , vol.74 , pp. 29-42
    • Xie, H.1    Sanderson, D.J.2
  • 63
    • 0034139064 scopus 로고    scopus 로고
    • The fourth mode of fracture in fractal fracture mechanics
    • Yavari A., Hockett K.G., and Sarkani S. The fourth mode of fracture in fractal fracture mechanics. Int J Fract 101 4 (2000) 365-384
    • (2000) Int J Fract , vol.101 , Issue.4 , pp. 365-384
    • Yavari, A.1    Hockett, K.G.2    Sarkani, S.3
  • 64
    • 0036343841 scopus 로고    scopus 로고
    • Generalization of Barenblatt's cohesive fracture theory for fractal cracks
    • Yavari A. Generalization of Barenblatt's cohesive fracture theory for fractal cracks. Fractals-Complex Geom Patterns Scaling Nat Soc 10 (2002) 189-198
    • (2002) Fractals-Complex Geom Patterns Scaling Nat Soc , vol.10 , pp. 189-198
    • Yavari, A.1
  • 65
    • 0036505741 scopus 로고    scopus 로고
    • The mechanics of self-similar and self-affine fractal cracks
    • Yavari A., Sarkani S., and Moyer E.T. The mechanics of self-similar and self-affine fractal cracks. Int J Fract 114 (2002) 1-27
    • (2002) Int J Fract , vol.114 , pp. 1-27
    • Yavari, A.1    Sarkani, S.2    Moyer, E.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.