Multifractal Nature Of Fracture Surfaces And Size Effect On Nominal Fracture Energy
Price
Free (open access)
Transaction
Volume
6
Pages
8
Published
1994
Size
954 kb
Paper DOI
10.2495/LD940631
Copyright
WIT Press
Author(s)
A. Carpinteri & B. Chiaia
Abstract
Experimental evidence of the fractality of fracture surfaces has been widely recognized in the case of concrete, ceramics and other disordered materials. A post-mortem investigation on concrete fracture surfaces has been carried out, yielding non-integer (fractal) dimensions of profiles, which are then related to the " renormalized fracture energy" of the material. The assumption of multifractality for the damaged material microstructure produces a dimensional increment with respect to the number 2, and represents the basis for the so-called Multifractal Scaling Law. A transition from extreme Brownian disorder (slope 1/2) to extreme order (zero slope) may be evidenced in the bilogarithmic diagram: the nominal fracture energy Qp increases with specimen size by following a non-linear trend.
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