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Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

RFR. FarrZVMHEG Physical Review Materials

Grain shape inference

The distributions of size and shape of a material’s grains can be constructed from a 2D slice of the material and electron diffraction data.

Mean grain diameters from thin sections: matching the average to the problem

RFR. FarrVHMH Mineralogical Magazine

3d grains from 2d slices

Moment-based methods provide a simple way to describe a population of spherical particles and extract 3d information from 2d measurements.

Simple heuristic for the viscosity of polydisperse hard spheres

RFR. Farr Journal of Chemical Physics

Simple heuristic for the viscosity of polydisperse hard spheres

Spheres crowd around each other in a manner that depends on their size distribution. We give a simple way to estimate the packing fraction.

Random close packing fractions of lognormal distributions of hard spheres

RFR. Farr Powder Technology

Random close packing fractions of lognormal distributions of hard spheres

Lognormal distributions (and mixtures of same) are a useful model for the size distribution in emulsions and sediments.

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4 Food Biophysics

Shear elastic deformation and particle packing in plant cell dispersions

Schematic of the disruption of close-packed polyhedral cells in tomato tissue into individual cells.

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2 Physical Review E

Ever-shrinking spheres

Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.