1999
DOI: 10.1046/j.1365-2818.1999.00483.x
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Secondary phase distribution analysis via finite body tessellation

Abstract: The concept of a Dirichlet tessellation has been extended to that of a 'finite body' tessellation to provide a more meaningful description of the spatial distribution of non-spherical secondary phase bodies on two-dimensional sections. A finite body tessellation consists of a network of cells constructed from the interfaces of each individual secondary phase body such that every point within a cell is closer to the corresponding body than to any other. Spatial distribution related cell characteristics derived … Show more

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Cited by 45 publications
(53 citation statements)
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“…The morphology and distribution (in both size and spatial arrangement) of the TiB 2 particles of the composite were quantified on two-dimensional sections using a finitebody tessellation method, [14] based on scanning electron microscopy (SEM) of the material. A finite-body tessellation consists of a network of cells such that every point within a cell is closer to the interface of the corresponding particle than any other.…”
Section: A Materials and Microstructuresmentioning
confidence: 99%
See 1 more Smart Citation
“…The morphology and distribution (in both size and spatial arrangement) of the TiB 2 particles of the composite were quantified on two-dimensional sections using a finitebody tessellation method, [14] based on scanning electron microscopy (SEM) of the material. A finite-body tessellation consists of a network of cells such that every point within a cell is closer to the interface of the corresponding particle than any other.…”
Section: A Materials and Microstructuresmentioning
confidence: 99%
“…It has been found previously that such interface-based finite-body tessellation provides a valuable method of assessing particle distributions in common particulate MMC microstructures, offering significant advantages over Dirichlet tessellation and nearest-neighbor methods. [14,15,16] A variety of parameters relating to particle morphology and spatial distribution may then be derived for each individual particle, for instance, "local" area fraction (ratio of particle area and corresponding tessellation cell area), and mean near-neighbor distance (average of the interface-to-interface separations with all particles that share a cell edge around each individual particle of interest). In particular, the coefficient of variation of mean near-neighbor distance (COV(d mean )), defined as the ratio of the standard deviation and the average of mean near-neighbor distances, has been identified in previous work as a particle-morphologyindependent parameter to quantify homogeneity of particle distributions.…”
Section: A Materials and Microstructuresmentioning
confidence: 99%
“…A large number of secondary electron images (SEI) were obtained from the cracked surface to examine qualitatively the type of particles participating in early fatigue initiation. The fi nite body tessellation technique (FBT) [12] was used to investigate quantitatively the geometrical features of short-crack initiating particles. Figure 2 shows scanning electron microscope (SEM) images of lining surfaces of fatigued fl at bar specimens.…”
Section: Experimental Workmentioning
confidence: 99%
“…In each case a classification approach has been followed, whereby prediction as to whether a particular particle will fall into the fatigue initiation class or the non-initiation class is made as a function of finite body tessellation image analysis parameters that measure, size, shape clustering etc of the particles. 50 Unlike many classification techniques, which place an emphasis on obtaining a good classification rate (e.g. 100% successful classification of those particles associated with crack initiation), the SUPANOVA approach also provides enhanced model transparency and hence aids model interpretation (e.g.…”
Section: Physical and Mechanical Propertiesmentioning
confidence: 99%