CONSTRUCTION OF STATISTICALLY EQUIVALENT PERIODIC UNIT CELL OF ASPHALT MIXTURE

Abstract eng:
The paper offers a novel approach to the modeling of asphalt mixtures. It introduces a concept of so called statistically equivalent periodic unit cell (SECUP) known from the analysis of random composites. Such a unit cell allows us to take into account a microstructure of asphalt mixture while keeping the computational cost of the underlying nonlinear analysis relatively low. In particular, the original microstructural configuration is first quantified using a suitable statistical descriptor (two–point probability function). Then a SEPUC is found such that it approximates the target microstructure as close as possible in terms of the selected statistical descriptor. We expect that a sufficiently representative number of 2D micrographs will provide the desired information for constructing even a fully three-dimensional periodic unit cell. At last, the classical first order homogenization technique will be used to extract the effective homogenized properties.

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