Spatial pattern analysis of second-phase particles in composite materials

Scalon, João Domingos; Fieller, Nick; Stillman, Eleanor; Atkinson, Helen V.

doi:10.1016/s0921-5093(03)00138-2

Cited by 26 publications

(16 citation statements)

References 17 publications

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“…It is the intent that a comparison between local density and global trends can discriminate between random and clustered arrangements, and further provide a methodology of evaluating the extent of cluster sizes. Similar local density approaches have previously been implemented in the characterization of clustering in discontinuously reinforced composites (Cetin and Kalkanli, 2009;Scalon, et al, 2003). The radial distribution function is a means to account for the molecular distributions arising from the forces particles exert on each other.…”

Section: Comparison Through Local Density Distributionmentioning

confidence: 99%

A single degree of freedom ‘lollipop’ model for carbon nanotube bundle formation

Cranford

Yao

Ortiz

et al. 2010

Journal of the Mechanics and Physics of Solids

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Section: Comparison Through Local Density Distributionmentioning

confidence: 99%

A single degree of freedom ‘lollipop’ model for carbon nanotube bundle formation

Cranford

Yao

Ortiz

et al. 2010

Journal of the Mechanics and Physics of Solids

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“…The mean free path λ is defined as the average uninterrupted distance between all possible pairs of particles in a micrograph, as shown in the scheme of Figure 4. It does not depend on the particles size, shape or distribution, and in recent studies [8, 9], it has been demonstrated to correlate with strength measurements of structures reinforced by discrete second‐phase particles.…”

Section: Materials Characterisationmentioning

confidence: 86%

Analysis of Nodular Cast Iron Microstructures for Micromechanical Model Development

Nicoletto

Collini

Konečná

et al. 2006

Strain

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One of the main factors in determining the different grades of ductile iron is the matrix structure. In the as‐cast condition, the matrix will consist of varying proportions of pearlite and ferrite, and as the amount of pearlite increases, the strength and hardness of the iron also increase. Three different nodular cast irons are here considered and their microstructure characterised in detail using metallographic methods. Then micromechanics models based on the unit cell approach and the finite element method are introduced to describe the actual constitutive response of the materials and the predicted behaviours are compared with experiments.

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“…Traditional spatial statistical methods designed for point pattern analysis identify whether point events have regular, random, or clustered patterns (Foxall and Baddeley 2002, Munch et al 2003, Scalon et al 2003, Mattfeldt et al 2006. Si et al 2008.…”

Section: Introductionmentioning

confidence: 99%

Point Pattern Analysis for Clusters Influenced by Linear Features: An Application for Mosquito Larval Sites

Bian

Rogerson

et al. 2014

Transactions in GIS

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Although many statistical approaches have been developed to quantify and assess spatial point patterns, the challenge to analyze complicated patterns has yet to be met. Statistics that describe the level of clustering usually assume that point events are isotropic. Many point events are influenced by linear features and clusters of these point events often have an elongated shape. Existing statistical cluster detection approaches often ignore these types of processes. This study proposes a new method, termed an L-function analysis for clusters influenced by linear features (L-Function-l) to test anisotropic point patterns with respect to the orientation of nearby linear features. To explicitly account for the influence of the underlying linear features on the point events, a number of ellipses with varying lengths, orientations and eccentricities are used to replace the circles that are drawn in the original L-function analysis. A case study of testing anisotropically clustered patterns of mosquito larval sites is used to illustrate the application of this method. The results indicate that the proposed approach provides a more flexible and comprehensive description of point patterns than the original L-function analysis.

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Spatial pattern analysis of second-phase particles in composite materials

Cited by 26 publications

References 17 publications

A single degree of freedom ‘lollipop’ model for carbon nanotube bundle formation

A single degree of freedom ‘lollipop’ model for carbon nanotube bundle formation

Analysis of Nodular Cast Iron Microstructures for Micromechanical Model Development

Point Pattern Analysis for Clusters Influenced by Linear Features: An Application for Mosquito Larval Sites

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