KOPP, Jean-Benoit; SCHMITTBUHL, Jean; NOEL, Olivier; FOND, Christophe

doi:10.1007/s10704-015-0025-2

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KOPP, Jean-Benoit

SCHMITTBUHL, Jean
Ecole et Observatoire des Sciences de la Terre [EOST]

NOEL, Olivier
Institut des Molécules et Matériaux du Mans [IMMM]

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International Journal of Fracture. 2015-05, vol. 193, n° 2, p. 141-152

Springer Verlag

Résumé en anglais

Profilometric imaging of fracture surfaces of rubber toughened polymer has been performed at two different resolutions (a) at large scales [10 μ\upmu m–25 mm] using an opto-mechanical profilometer and (b) at small scales [0.195 μ\upmu m–0.48 mm] using an interferometric optical microscope. We introduced a self-affine geometrical model using two parameters: the Hurst exponent and the topothesy. We showed that for rubber toughened materials the approximation of the created surface by a mean flat plane leads to a poor estimation of the dynamic fracture energy GIdcG_{Idc}. The description of the created rough fracture surface by a self-affine model is shown to provide a significantly better approximation. A new and original geometrical method is introduced to estimate self-affine parameters: the 3D surface scaling method. Hurst exponents are shown to be unique, χ=0.6±0.1\chi =0.6\pm 0.1 for the different fracture zones and measurement scales. Topothesy ratios indicate a significant difference of fracture surface roughness amplitude depending on the observation resolution when the detrending technique is not correctly introduced.< Réduire

Mots clés en anglais

Surface roughness

Dynamic fracture

Polymers

Self-affinity

Hurst exponent

Topothesy

Rapid crack propagation

Fracture energy

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A self-affine geometrical model of dynamic RT-PMMA fractures: implications for fracture energy measurements

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