Two-step Homogenization Of Asphalt Mixtures
Author(s)
R. Valenta & M. Sejnoha
Abstract
A novel approach to the prediction of the nonlinear macroscopic response of
asphalt mixtures is presented. It combines the well established first order homogenization
method and a concept of so called statistically equivalent periodic
unit cell that was only recently proposed. Such a unit cell allows us to take
into account a real microstructure of an asphalt mixture when searching for the
estimates of nonlinear macroscopic response. To that end, both the finite element
and the Fast Fourier Transform methods are examined. To enhance feasibility
of the solution of the underlying nonlinear problem, a two-step homogenization
procedure is proposed. Here, the effective material properties are first found for a
mastic asphalt, a composite consisting of a bitumen matrix and a fraction of small
particles. These properties are then introduced in place of the matrix in actual
unit cells. Several numerical examples are presented to show applicability of the
proposed approach.
Keywords: asphalt mixture, statistically equivalent periodic unit cell, homogenization,
Fast Fourier Transform, finite element method.
1 Introduction
The main objective of this contribution is to provide estimates of the effective
properties of asphalt mixtures shown in Fig. 1. A computational analysis taking
into account all geometrical details of a two-phase microstructure (stone aggregates
bonded to a bitumen matrix) would, however, be prohibitively expensive.
The search for an efficient computational scheme is therefore needed.
A relatively simple, yet reliable and efficient approach is proposed. It relies on
a popular uncoupled multi-scale homogenization technique taking advantage of
Keywords
asphalt mixture, statistically equivalent periodic unit cell, homogenization,
Fast Fourier Transform, finite element method.
Related Book
Other papers in this volume
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