Distribution mixtures from sampling of inhomogeneous microstructures: variance and probability bounds of the properties

摘要

The mechanical properties of inhomogeneous materials are often characterised by distribution mixtures. Alternative equations regarding the variance of a distribution mixture arising from sampling of inhomogeneous microstructural zones are derived and the concept 'contributed variance' of the individual distributions is introduced. On its basis a methodology is developed which can be used to identify sampling from which set of individual distributions is accountable for most of the variation of a distribution mixture. In terms of inhomogeneous microstructures this means identifying sampling from which microstructural zones is accountable for most of the scatter is mechanical properties.