Elastic Properties of Laguerre Approximations of Random Foams
Stochastic models are valuable tools to study the mechanical behaviour of foams whose characteristic features include random cellular morphology and cells of different size (polydispersity) Random Laguerre tessellations, additively weighted generalisations of Voronoi tessellations, possess these features which makes them natural models for foams. The Young's modulus of lowdensity solid foams with open cells is calculated for two different classes of random, polydisperse foams based on Laguerre tessellations and soap froth simulated with the Surface Evolver. For the special case of monodisperse foams, we compare Laguerre foams with the well known Kelvin and Weaire Phelan foams.