Abstract
The problems of the size effects on tensile strength and fracture energy of brittle and disordered materials (concrete, rocks, ceramics, etc) are reconsidered under a new and unifying light cast by Fractal Geometry. In this way we can define new tensile properties, with physical dimensions depending on the fractal dimension of the damaged microstructure, which turn out to be scale-invariant material constants. This represents the so-called renormalization procedure, already proposed in the statistical physics of random processes. Variations in the fractal dimension of fracture surfaces produce variations in the physical dimension of toughness and not, as asserted by some authors, in the measure of toughness.
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