Fracture surface of plastic materials: the roughness exponent

Guerrero, C.; Reyes, Enrique A.; González, Virgilio Ángel González

doi:10.1016/s0032-3861(02)00674-2

Cited by 30 publications

(19 citation statements)

References 12 publications

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“…In 1990 Bouchaud et al observed that the value of the roughness exponent is surprisingly universal ζ = 0.8 weakly dependent on the nature of the material and on the failure mode. This scenario was then tested in a large numbers of materials all of them fractured under conditions of rapid crack propagation and then analysed by several methods (Måløy et al 1992;Hinojosa et al 2000;Hinojosa and Aldaco 2002;Hinojosa et al 2004;Guerrero et al 2002;Niño et al 2006). The results found were in agreement with this conjecture.…”

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confidence: 65%

Scaling properties of slow fracture in glass: from deterministic to irregular topography

et al. 2008

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In this work we discuss the morphology and self-affine properties of the slowfracture surfaces of soda-lime glass obtained by a bending process under the effect of applied water vapor. The fractographic analysis showed the presence of secondary cracks in the mirror zone, whereas in the mist-hackle region step-like morphologies were observed and over them we found fine undulations. The self-affine analysis, performed by two methods, showed the existence of two different statistical distributions for the roughness exponent, ζ . At the beginning of the mirror zone ζ = 0.5, in the mist-hackle region we detected the same value for fine length scales, whereas at large length scales we observed ζ = 0.8. This scenario may be described by a qualitative model in which the deterministic mirror-mist-hackle pattern coexists with an irregular topography, the two observed regimes are thus characterized by two different roughness exponents, with the 0.5 value dominating at low-speed/fine-scales and the 0.8 value governing the high-speed/large-scales regimes.

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confidence: 65%

Scaling properties of slow fracture in glass: from deterministic to irregular topography

et al. 2008

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“…Several publications reported very interesting studies regarding polymeric membrane based electrochemical sensors [20][21][22][23][24][25][26]. Schwake et al applied AFM to study the origin of asymmetry potentials observed with ion-selective polymer matrix membranes [22].…”

Section: Doi: 101002/elan201100521mentioning

confidence: 99%

“…Molecular aggregation of neutral carriers bearing perfluoro alkyl chains in liquid-crystalline ion-sensor membrane has been studied by AFM and fluorescence measurements [20]. The roughness exponents of polypropylene and polystyrene were determined by examining the topography and polymeric fracture surfaces using AFM [26]. The mechanical and morphological characters of polymer membranes in fuel cells were studied by AFM [27].…”

Section: Doi: 101002/elan201100521mentioning

confidence: 99%

Atomic Force Microscopy and X‐Ray Photoelectron Spectroscopy of Lead(II) Membrane Electrode Based on Dithiodibenzoic Acid as Ionophore

2012

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The use of 1-butyl-3-methylimidazolium hexafluorophosphate ionic liquid [C 4 mim] [PF 6 ] as additive in a Pb(II) plastic membrane electrode increased significantly the selectivity of the sensor. Atomic force microscopy and depth profiling X-ray photoelectron spectroscopy were applied to investigate the compositional and morphological changes of the surface and bulk of the membrane during the conditioning process of the electrode.

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“…The Hurst exponent value is estimated to be unique and universal in between 0.78 and 0.80 for many materials such as rocks (Schmittbuhl et al 1993(Schmittbuhl et al , 1995bLopez and Schmittbuhl 1998), wood (Morel et al 1998;Mourot et al 2002;Ponson et al 1992), steel (Mandelbrot et al 1984;Bouchaud et al 1993Bouchaud et al , 1995 and polymers (Guerrero et al 2002;Lapique et al 2002). However, over the past ten years some authors have questioned this universal value, in particular for polymers (Hinojosa et al 2004).…”

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confidence: 99%

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

et al. 2015

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.This is an author-deposited version published in: http://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/9600 To cite this version :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 -Vol. 193, n°2, p.141-152 -2015 Any correspondence concerning this service should be sent to the repository Abstract Profilometric imaging of fracture surfaces of rubber toughened polymer has been performed at two different resolutions (a) at large scales [10 µm-25 mm] using an opto-mechanical profilometer and (b) at small scales [0.195 µm-0.48 mm] using an interferometric optical microscope. We introduced a selfaffine 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 G I dc . 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 for the differ-

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Fracture surface of plastic materials: the roughness exponent

Cited by 30 publications

References 12 publications

Scaling properties of slow fracture in glass: from deterministic to irregular topography

Scaling properties of slow fracture in glass: from deterministic to irregular topography

Atomic Force Microscopy and X‐Ray Photoelectron Spectroscopy of Lead(II) Membrane Electrode Based on Dithiodibenzoic Acid as Ionophore

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

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