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International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v8.i1.100
pages 131-149

Macroscopic Constitutive Law for Mastic Asphalt Mixtures from Multiscale Modeling

Richard Valenta
Centre for Integrated Design of Advances Structures, Czech Technical University in Prague, Thakurova 7, 166 29 Prague 6, Czech Republic
Michal Sejnoha
Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thakurova 7,166 29 Prague 6, Czech Republic
Jan Zeman
Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thakurova 7,166 29 Prague 6, Czech Republic; Centre of Excellence IT4Innovations, VSB-TU Ostrava, 17 listopadu 15/2172 708 33 Ostrava-Poruba, Czech Republic


A well-established framework of an uncoupled hierarchical modeling approach is adopted here for the prediction of macroscopic material parameters of the generalized Leonov constitutive model intended for the analysis of flexible pavements at both moderate and elevated temperature regimes. To that end, a recently introduced concept of a statistically equivalent periodic unit cell is addressed to reflect a real microstructure of mastic asphalt mixtures (MAm). Although mastic properties are derived from an extensive experimental program, the macroscopic properties of MAm are fitted to virtual numerical experiments performed on the basis of first-order homogenization scheme. 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 mortar phase, a composite consisting of a mastic matrix and a fraction of small aggregates. These properties are then introduced in place of the matrix in actual unit cells to give estimates of the model parameters on macroscale. Comparison to the Mori-Tanaka predictions is also provided suggesting limitations of classical micromechanical models.


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