2011
DOI: 10.1007/s10853-011-5576-7
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Three-dimensional fractal analysis of fracture surfaces in titanium–iron particulate reinforced hydroxyapatite composites: relationship between fracture toughness and fractal dimension

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Cited by 24 publications
(12 citation statements)
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“…The fractal dimension of the fracture surface enables us to evaluate the contribution of mechanisms of ductile and brittle fracture [23][24][25][26][27][28][29]. Liang et al showed a linear relationship between the strain to fracture and the fractal dimension of the fracture surface for magnesium alloys, which belong to the same isomechanical group as Ti-6Al-4V [28].…”
Section: Analysis Of the Topology Of The Fracture Surfacementioning
confidence: 99%
“…The fractal dimension of the fracture surface enables us to evaluate the contribution of mechanisms of ductile and brittle fracture [23][24][25][26][27][28][29]. Liang et al showed a linear relationship between the strain to fracture and the fractal dimension of the fracture surface for magnesium alloys, which belong to the same isomechanical group as Ti-6Al-4V [28].…”
Section: Analysis Of the Topology Of The Fracture Surfacementioning
confidence: 99%
“…In manufacturing techniques, fractal analysis is used to assess other associated phenomena and effects, such as acoustic emission or cutting forces [20], which occur not only in cutting, but also in electrical discharge machining [21] and abrasive machining [22,23]. Attempts have also been made to use fractal analysis to assess the effects of the machining of composite materials [24,25]. Unfortunately, as composites have a heterogeneous structure and incorporate two or more materials that differ radically in their properties, an analysis of the machining process in their case is not easy [26].…”
Section: Introductionmentioning
confidence: 99%
“…However, these measurement methods cannot adequately describe the integral morphology of the solidification structure. To evaluate the self-similarity complexity and overall morphology characteristics of the solidification structure, the fractal dimension has been used to describe the structure of materials [18][19][20][21][22][23]. Ishida et al [18] simulated the evolution process of dendrite morphology in Fe-based alloy using a phase-field method and quantitatively described the dendritic morphology by fractal dimension.…”
Section: Introductionmentioning
confidence: 99%