A. Carpinteri et B. Chiaia, MULTIFRACTAL NATURE OF CONCRETE FRACTURE SURFACES AND SIZE EFFECTS ONNOMINAL FRACTURE ENERGY, Materials and structures, 28(182), 1995, pp. 435-443
Citations number
20
Categorie Soggetti
Engineering, Civil","Material Science","Construcion & Building Technology
Experimental evidence of the fractality of fracture surfaces has been
widely recognized in the case of concrete, ceramics and other disorder
ed materials. An investigation post mortem on concrete fracture surfa
ces of specimens broken in direct tension has been carried out, yieldi
ng non-integer (fractal) dimensions of profiles, which are then relate
d to the 'renormalized fracture energy' of the material. No unique val
ue for the fractal dimension can be defined the assumption of multifra
ctality for the damaged material microstructure produces a dimensional
increment of the dissipation space with respect to the number 2, and
represents the basis for the so-called multifractal scaling law. A tra
nsition from extreme Brownian disorder (slope 1/2) to extreme order (z
ero slope) may be evidenced in the bilogarithmic diagram: the nominal
fracture energy L(F) increases with specimen size by following a nonli
near trend. Two extreme scaling regimes can be identified, namely the
fractal (disordered) regime, col responding to rite smallest sizes, an
d the homogeneous (ordered) regime, corresponding to the largest sizes
, for which an asymptotic constant value of L(F) is reached.