surface fractal analysis for estimating the fracture energy absorption of nanoparticle reinforced composites表面分形分析估算纳米颗粒增强复合材料的断裂能量吸收.pdf
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Materials 2012, 5, 922-936; doi:10.3390/ma5050922
OPEN ACCESS
materials
ISSN 1996-1944
/journal/materials
Article
Surface Fractal Analysis for Estimating the Fracture Energy
Absorption of Nanoparticle Reinforced Composites
Brahmananda Pramanik *, Tezeswi Tadepalli and P. Raju Mantena
Department of Mechanical Engineering, University of Mississippi, University, MS 38677, USA;
E-Mails: tadepali@ (T.T.); meprm@ (P.R.M.)
* Author to whom correspondence should be addressed; E-Mail: bpramani@;
Tel.: +1-662-915-5990; Fax: +1-662-915-1640.
Received: 19 March 2012; in revised form: 8 May 2012 / Accepted: 11 May 2012 /
Published: 23 May 2012
Abstract: In this study, the fractal dimensions of failure surfaces of vinyl ester based
nanocomposites are estimated using two classical methods, Vertical Section Method
(VSM) and Slit Island Method (SIM), based on the processing of 3D digital microscopic
images. Self-affine fractal geometry has been observed in the experimentally obtained
failure surfaces of graphite platelet reinforced nanocomposites subjected to quasi-static
uniaxial tensile and low velocity punch-shear loading. Fracture energy and fracture
toughness are estimated analytically from the surface fractal dimensionality. Sensitivity
studies show an exponential dependency of fracture energy and fracture toughness on the
fractal dimensionality. Contribution of fracture energy to the tot
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