메뉴 건너뛰기




Volumn 58, Issue 1, 2000, Pages 57-68

A fractional calculus approach to the mechanics of fractal media

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037535309     PISSN: 03731243     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 0004725612 scopus 로고
    • Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
    • HILLERBORG A., MODÉER M. AND PETERSSON P. E., Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement and Concrete Research 6(1976), 773-782.
    • (1976) Cement and Concrete Research , vol.6 , pp. 773-782
    • Hillerborg, A.1    Modéer, M.2    Petersson, P.E.3
  • 2
    • 0028669676 scopus 로고
    • Size effects on tensile fracture properties: A unified explanation based on disorder and fractality of concrete microstructure
    • CARPINTERI A. AND FERRO G., Size effects on tensile fracture properties: a unified explanation based on disorder and fractality of concrete microstructure, Materials and Structures 28(1994), 563-571.
    • (1994) Materials and Structures , vol.28 , pp. 563-571
    • Carpinteri, A.1    Ferro, G.2
  • 3
    • 0033333802 scopus 로고    scopus 로고
    • Effect of strain gradients on the size effect of concrete in uniaxial tension
    • VAN MIER J. G. M. AND VAN VLIET M. R. A., Effect of strain gradients on the size effect of concrete in uniaxial tension, International Journal of Fracture 94(1999), 195-219.
    • (1999) International Journal of Fracture , vol.94 , pp. 195-219
    • Van Mier, J.G.M.1    Van Vliet, M.R.A.2
  • 5
    • 0028468278 scopus 로고
    • Fractal nature of material microstructure and size effects on apparent mechanical properties
    • CARPINTERI A., Fractal nature of material microstructure and size effects on apparent mechanical properties, Mechanics of Materials 18(1994), 89-101.
    • (1994) Mechanics of Materials , vol.18 , pp. 89-101
    • Carpinteri, A.1
  • 6
    • 0032098838 scopus 로고    scopus 로고
    • Scaling behaviour and dual renormalization of experimental tensile softening responses
    • CARPINTERI A. AND FERRO G., Scaling behaviour and dual renormalization of experimental tensile softening responses, Materials and Structures 31(19998), 303-309.
    • (1998) Materials and Structures , vol.31 , pp. 303-309
    • Carpinteri, A.1    Ferro, G.2
  • 7
    • 0003678617 scopus 로고    scopus 로고
    • Fractals and fractional calculus
    • Springer Verlag, Wien
    • CARPINTERI A. AND MAINARDI F., Fractals and fractional calculus, in: "Continuum mechanics", Springer Verlag, Wien 1997.
    • (1997) Continuum Mechanics
    • Carpinteri, A.1    Mainardi, F.2
  • 13
    • 0030464353 scopus 로고    scopus 로고
    • Fractional relaxation-oscillation and fractional diffusion-wave phenomena
    • MAINARDI F., Fractional relaxation-oscillation and fractional diffusion-wave phenomena, Chaos, Solitons and Fractals 7(1996), 1461-1477.
    • (1996) Chaos, Solitons and Fractals , vol.7 , pp. 1461-1477
    • Mainardi, F.1
  • 14
    • 0003586464 scopus 로고
    • Plenum Press, New York
    • FEDER J., Fractals, Plenum Press, New York 1988.
    • (1988) Fractals
    • Feder, J.1
  • 15
    • 0001219948 scopus 로고
    • Fractional differentiation of devil's staircases
    • SCHELLNHUBER H. J. AND SEYLER A., Fractional differentiation of devil's staircases, Physica 191 A (1992), 491-500.
    • (1992) Physica , vol.191 A , pp. 491-500
    • Schellnhuber, H.J.1    Seyler, A.2
  • 16
    • 36149036329 scopus 로고
    • Fractional diffusion equation on fractals: One-dimensional case and asymptotic behavior
    • GIONA M. AND ROMAN H. E., Fractional diffusion equation on fractals: one-dimensional case and asymptotic behavior, Journal of Physics 25 A (1992), 2093-2105.
    • (1992) Journal of Physics , vol.25 A , pp. 2093-2105
    • Giona, M.1    Roman, H.E.2
  • 17
    • 0001102649 scopus 로고
    • Fractional integral and differential equations for a class of Lé vytype probability densities
    • NONNENMACHER T. F., Fractional integral and differential equations for a class of Lé vytype probability densities, Journal of Physics 23 A (1990), L697-L700.
    • (1990) Journal of Physics , vol.23 A
    • Nonnenmacher, T.F.1
  • 18
    • 0040655648 scopus 로고    scopus 로고
    • Fractional differentiability of nowhere differentiable functions and dimensions
    • KOLWANKAR K. M. AND GANGAL A. D., Fractional differentiability of nowhere differentiable functions and dimensions, Chaos 6(1996), 505-523.
    • (1996) Chaos , vol.6 , pp. 505-523
    • Kolwankar, K.M.1    Gangal, A.D.2
  • 19
    • 0030671988 scopus 로고    scopus 로고
    • H ölder exponents of irregular signals and local fractional derivatives
    • KOLWANKAR K. M. AND GANGAL A. D., H ölder exponents of irregular signals and local fractional derivatives, Pramana Journal of Physics 48(1997), 49-68.
    • (1997) Pramana Journal of Physics , vol.48 , pp. 49-68
    • Kolwankar, K.M.1    Gangal, A.D.2
  • 22
    • 0036028181 scopus 로고    scopus 로고
    • A fractional calculus approach to the description of stress and strain localization in fractal media
    • CARPINTERI A. AND CORNETTI P., A fractional calculus approach to the description of stress and strain localization in fractal media, Chaos Solitons and Fractals 31(2002), 85-94.
    • (2002) Chaos Solitons and Fractals , vol.31 , pp. 85-94
    • Carpinteri, A.1    Cornetti, P.2
  • 23


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.