Philosophical magazine. A/Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties · 1995 · 25 citations · 13 references
Natural SciencesMaterials EngineeringMaterials ScienceMaterials CharacterizationMaterials PhysicsPolymer MaterialsComposite MaterialsMaterial TestingMicrostructure AnalysisNanocompositesParticle SizePhase EquilibriaComposite MicrostructureParticle DistributionSecond-order Phase TransitionsSecond-phase Particle AnalysisStatistical Testing
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.
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