Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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.
Complete list of metadatas

Cited literature [34 references]  Display  Hide  Download
Contributor : Compte de Service Administrateur Ensam <>
Submitted on : Friday, November 10, 2017 - 10:29:18 AM
Last modification on : Thursday, April 23, 2020 - 2:26:35 PM
Document(s) archivé(s) le : Sunday, February 11, 2018 - 12:13:55 PM


Article_IJF_2015 1.pdf
Files produced by the author(s)



Jean-Benoit Kopp, Jean Schmittbuhl, Olivier Noel, Christophe Fond. A self-affine geometrical model of dynamic RT-PMMA fractures: implications for fracture energy measurements. International Journal of Fracture, 2015, 193 (2), pp.141-152. ⟨10.1007/s10704-015-0025-2⟩. ⟨hal-01165645⟩



Record views


Files downloads