A fractional calculus approach to the description of stress and strain localization in fractal media

Chaos, Solitons and Fractals

Volumn 13, Issue 1, 2002, Pages 85-94

  Carpinteri, Alberto ^a   Cornetti, Pietro ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL MICROSTRUCTURE; KINEMATICS; MATHEMATICAL OPERATORS; STRAIN; TENSILE STRESS; WAVE EQUATIONS;

FRACTIONAL CALCULUS;

FRACTALS;

EID: 0036028181     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00238-1     Document Type: Article

References (26)

1. The fractal nature of slip in crystals
2. Physics of fracture and mechanics of self-affine cracks
3. Singular fractal functions and mesoscopic effects in mechanics
4. Fractional relaxation-oscillation and fractional diffusion-wave phenomena
5. Fractional differentiation of devil's staircases
6. Fractional diffusion equation on fractals: One-dimensional case and asymptotic behavior
7. Fractional integral and differential equations for a class of Lévy-type probability densities
8. Fractional differentiability of nowhere differentiable functions and dimensions
9. Holder exponents of irregular signals and local fractional derivatives
10. Local fractional Fokker-Plank equation
11. Local fractional calculus: A calculus for fractal space-time
12. Three-dimensional fractal analysis of concrete fracture at the meso-level
13. Fractal geometry of rocks
14. Fractal nature of material microstructure and size effects on apparent mechanical properties
15. Cusp catastrophe interpretation of fracture instability
16. Effect of strain gradients on the size effect of concrete in uniaxial tension
17. Scaling behaviour and dual renormalization of experimental tensile softening responses