Statistical tests for clustering of second phases in composite materials
- 1 August 1995
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine A
- Vol. 72 (2) , 515-528
- https://doi.org/10.1080/01418619508239936
Abstract
A statistical comparison is made of various tests for the randomness or otherwise of second-phase particles in composite materials. Quadrat, nearest-neighbour, Ripley's K function and Dirichlet tessellation-based tests are compared. It is found that a test based on Ripley's K function performs well in detecting both clustered and regular alternatives to randomness. Additionally these tests have the benefit of providing a suitable alternative model when randomness is rejected.Keywords
This publication has 13 references indexed in Scilit:
- Fatigue and fracture toughness of aluminium alloys reinforced with SiC and alumina particlesComposites, 1993
- Thixoforming spray-formed aluminium/silicon carbide metal matrix compositesMaterials Letters, 1991
- Aspects of fracture in particulate reinforced metal matrix compositesActa Metallurgica et Materialia, 1991
- Effects of matrix microstructure and particle distribution on fracture of an aluminum metal matrix compositeMaterials Science and Engineering: A, 1989
- Quantitative characterization of second-phase populationsMetallography, 1985
- A comparison of tests for randomnessPattern Recognition, 1985
- Use of the Dirichlet tessellation for characterizing and modeling nonregular dispersions of second-phase particlesMetallography, 1983
- Microstructure-property relationships of GRPJournal of Materials Science, 1979
- On Parameter Estimation and Goodness-of-Fit Testing for Spatial Point PatternsBiometrics, 1979
- The second-order analysis of stationary point processesJournal of Applied Probability, 1976