메뉴 건너뛰기




Volumn 77, Issue 6, 2010, Pages 974-984

A multifractal analysis of fatigue crack growth and its application to concrete

Author keywords

Concrete; Crack growth; Crack growth rate; Fatigue and fracture; Fatigue crack propagation; Fractal geometry; Size effect

Indexed keywords

CONCRETE CRACKS; CRACK GROWTH; CRACK GROWTH RATE; CRACK GROWTH RATES; FRACTAL GEOMETRY;

EID: 77949916908     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2010.01.019     Document Type: Article
Times cited : (68)

References (31)
  • 1
    • 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 1921, A221:163-198.
    • (1921) Philos Trans Roy Soc , vol.221 A , pp. 163-198
    • Griffith, A.A.1
  • 2
    • 0005852179 scopus 로고
    • Model testing as applied to strength of materials
    • Peterson R.E. Model testing as applied to strength of materials. J Appl Mech 1933, 1:79-85.
    • (1933) J Appl Mech , vol.1 , pp. 79-85
    • Peterson, R.E.1
  • 4
    • 0028374089 scopus 로고
    • Scaling laws and renormalization groups for strength and toughness of disordered materials
    • Carpinteri Al. Scaling laws and renormalization groups for strength and toughness of disordered materials. Int J Solids Struct 1994, 31:291-302.
    • (1994) Int J Solids Struct , vol.31 , pp. 291-302
    • Carpinteri, A.1
  • 5
    • 0030465094 scopus 로고    scopus 로고
    • Crack-resistance behavior as a consequence of self-similar fracture topologies
    • Carpinteri Al., Chiaia B. Crack-resistance behavior as a consequence of self-similar fracture topologies. Int J Fract 1996, 76:327-340.
    • (1996) Int J Fract , vol.76 , pp. 327-340
    • Carpinteri, A.1    Chiaia, B.2
  • 6
    • 0000111514 scopus 로고    scopus 로고
    • Multifractal scaling laws in the breaking behaviour of disordered materials
    • Carpinteri Al., Chiaia B. Multifractal scaling laws in the breaking behaviour of disordered materials. Chaos Soliton Fract 1997, 8:135-150.
    • (1997) Chaos Soliton Fract , vol.8 , pp. 135-150
    • Carpinteri, A.1    Chiaia, B.2
  • 9
    • 33645916042 scopus 로고
    • Renormalization group and critical phenomena
    • Wilson K.G. Renormalization group and critical phenomena. Phys Rev 1971, B4:3174-3205.
    • (1971) Phys Rev , vol.4 B , pp. 3174-3205
    • Wilson, K.G.1
  • 12
    • 6244232696 scopus 로고
    • Fractal character of fracture surfaces of metals
    • Mandelbrot B.B., Passoja D.E., Paullay A.J. Fractal character of fracture surfaces of metals. Nature 1984, 308:721-722.
    • (1984) Nature , vol.308 , pp. 721-722
    • Mandelbrot, B.B.1    Passoja, D.E.2    Paullay, A.J.3
  • 13
    • 84931536302 scopus 로고
    • Self-affine fractals and fractal dimension
    • Mandelbrot B.B. Self-affine fractals and fractal dimension. Phys Scr 1985, 32:257-260.
    • (1985) Phys Scr , vol.32 , pp. 257-260
    • Mandelbrot, B.B.1
  • 15
    • 0002900009 scopus 로고
    • Notch sensitivity
    • McGraw Hill, New York, G. Sines, J.L. Waisman (Eds.)
    • Peterson R.E. Notch sensitivity. Metal fatigue 1959, 293-306. McGraw Hill, New York. G. Sines, J.L. Waisman (Eds.).
    • (1959) Metal fatigue , pp. 293-306
    • Peterson, R.E.1
  • 16
    • 0005889856 scopus 로고
    • An explanation of size effect in fatigue of metals
    • Findley W.N. An explanation of size effect in fatigue of metals. J Mech Engng Sci 1972, 14:424-425.
    • (1972) J Mech Engng Sci , vol.14 , pp. 424-425
    • Findley, W.N.1
  • 18
    • 0242551820 scopus 로고    scopus 로고
    • A fractal analysis of size effect on fatigue crack growth
    • Carpinteri A., Spagnoli A. A fractal analysis of size effect on fatigue crack growth. Int J Fatigue 2004, 26:125-133.
    • (2004) Int J Fatigue , vol.26 , pp. 125-133
    • Carpinteri, A.1    Spagnoli, A.2
  • 19
    • 36248961645 scopus 로고    scopus 로고
    • Influence of the crack morphology on the fatigue crack growth rate: a continuously-kinked crack model based on fractals
    • Carpinteri A., Spagnoli A., Vantadori S., Viappiani D. Influence of the crack morphology on the fatigue crack growth rate: a continuously-kinked crack model based on fractals. Engng Fract Mech 2008, 75:579-589.
    • (2008) Engng Fract Mech , vol.75 , pp. 579-589
    • Carpinteri, A.1    Spagnoli, A.2    Vantadori, S.3    Viappiani, D.4
  • 20
    • 2042480687 scopus 로고    scopus 로고
    • Fractality in the threshold condition of fatigue crack growth: an interpretation of the Kitagawa diagram
    • Spagnoli A. Fractality in the threshold condition of fatigue crack growth: an interpretation of the Kitagawa diagram. Chaos Soliton Fract 2004, 22:589-598.
    • (2004) Chaos Soliton Fract , vol.22 , pp. 589-598
    • Spagnoli, A.1
  • 21
    • 0019262493 scopus 로고
    • Incomplete self-similarity of fatigue in the linear range of crack growth
    • Barenblatt G.I., Botvina L.R. Incomplete self-similarity of fatigue in the linear range of crack growth. Fatigue Fract Engng Mater Struct 1980, 3:193-202.
    • (1980) Fatigue Fract Engng Mater Struct , vol.3 , pp. 193-202
    • Barenblatt, G.I.1    Botvina, L.R.2
  • 22
    • 12344321632 scopus 로고    scopus 로고
    • Self-similarity and fractals in the Paris range of fatigue crack growth
    • Spagnoli A. Self-similarity and fractals in the Paris range of fatigue crack growth. Mech Mater 2005, 37:519-529.
    • (2005) Mech Mater , vol.37 , pp. 519-529
    • Spagnoli, A.1
  • 23
    • 33847063459 scopus 로고    scopus 로고
    • Self-similarity and crack growth instability in the correlation between the Paris' constants
    • Carpinteri Al., Paggi M. Self-similarity and crack growth instability in the correlation between the Paris' constants. Engng Fract Mech 2007, 74:1041-1053.
    • (2007) Engng Fract Mech , vol.74 , pp. 1041-1053
    • Carpinteri, A.1    Paggi, M.2
  • 24
    • 0026189507 scopus 로고
    • Size effect in fatigue fracture of concrete
    • Bazant Z.P., Size K.X.U. Size effect in fatigue fracture of concrete. ACI Mater J 1991, 88:390-399.
    • (1991) ACI Mater J , vol.88 , pp. 390-399
    • Bazant, Z.P.1    Size, K.X.U.2
  • 26
    • 0027662708 scopus 로고
    • Fatigue fracture of high-strength concrete and size effect
    • Bazant Z.P., Shell W.F. Fatigue fracture of high-strength concrete and size effect. ACI Mater J 1993, 90:472-478.
    • (1993) ACI Mater J , vol.90 , pp. 472-478
    • Bazant, Z.P.1    Shell, W.F.2
  • 27
    • 85136357190 scopus 로고
    • Bearing pressure and cracks
    • Westergaard H.M. Bearing pressure and cracks. J Appl Mech 1939, 6:49-53.
    • (1939) J Appl Mech , vol.6 , pp. 49-53
    • Westergaard, H.M.1
  • 28
    • 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 1957, 24:109-114.
    • (1957) J Appl Mech , vol.24 , pp. 109-114
    • Irwin, G.R.1
  • 29
    • 85014447649 scopus 로고
    • A critical analysis of crack propagation laws
    • Paris P.C., Erdogan F. A critical analysis of crack propagation laws. J Basic Engng 1963, 85D:528-534.
    • (1963) J Basic Engng , vol.85 D , pp. 528-534
    • Paris, P.C.1    Erdogan, F.2
  • 31
    • 0032672354 scopus 로고    scopus 로고
    • Three-dimensional fractal analysis of concrete fracture at the meso-level
    • Carpinteri A., Chiaia B., Invernizzi S. Three-dimensional fractal analysis of concrete fracture at the meso-level. Theor Appl Fract Mech 1999, 31:163-172.
    • (1999) Theor Appl Fract Mech , vol.31 , pp. 163-172
    • Carpinteri, A.1    Chiaia, B.2    Invernizzi, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.