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>STATISTICAL TOOLS OF QUANTITATIVE FRACTOGRAPHY: HOW TO MEASURE THE FRACTURE TOUGHNESS FROM THE MORPHOLOGY OF FRACTURE SURFACES
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STATISTICAL TOOLS OF QUANTITATIVE FRACTOGRAPHY: HOW TO MEASURE THE FRACTURE TOUGHNESS FROM THE MORPHOLOGY OF FRACTURE SURFACES
Fracture surfaces have been a preferred field of investigation for understanding material failure as their roughness encodes the failure mechanisms. A major challenge is to decipher quantitatively this information in terms of failure properties, and especially material toughness. Here, we analyze the roughness of several fractured materials like concrete, ceramics and metallic alloy and show that they share the same statistical structure: Below some length scale ξ, the slope amplitudes are uncorrelated and the surface is mono-affine with Gaussian statistics while above ξ, long-range spatial correlations lead to a multifractal behavior with fat-tail statistics. These features reveal a common growth mechanism of cracks that propagate through damage coalescence at small scale and resembles to an elastic line at large scale. The crossover length 4 characterizes the extent of the crack tip damaged zone. Its measurement from the statistical analysis of fracture surfaces provides a way to measure the toughness of a material after its failure, and open new venues in failure analysis.
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