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Coupled Systems Mechanics Volume 7, Number 5, October 2018 , pages 509-524 DOI: https://doi.org/10.12989/csm.2018.7.5.509 |
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Mesoscale modeling of the temperature-dependent viscoelastic behavior of a Bitumen-Bound Gravels |
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Libasse Sow, Fabrice Bernard, Siham Kamali-Bernard and Cheikh Mouhamed Fadel Kebe
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| Abstract | ||
| A hierarchical multi-scale modeling strategy devoted to the study of a Bitumen-Bound Gravel (BBG) is presented in this paper. More precisely, the paper investigates the temperature-dependent linear viscoelastic of the material when submitted to low deformations levels and moderate number of cycles. In such a hierarchical approach, 3D digital Representative Elementary Volumes are built and the outcomes at a scale (here, the sub-mesoscale) are used as input data at the next higher scale (here, the mesoscale). The viscoelastic behavior of the bituminous phases at each scale is taken into account by means of a generalized Maxwell model: the bulk part of the behavior is separated from the deviatoric one and bulk and shear moduli are expanded into Prony series. Furthermore, the viscoelastic phases are considered to be thermorheologically simple: time and temperature are not independent. This behavior is reproduced by the Williams-Landel-Ferry law. By means of the FE simulations of stress relaxation tests, the parameters of the various features of this temperature-dependent viscoelastic behavior are identified. | ||
| Key Words | ||
| hierarchical multi-scale modeling; road aggregates; bitumen; viscoelasticy; Prony series; thermorheological simplicity; WLF law; standardized elastic moduli; standardized volume moduli | ||
| Address | ||
| Libasse Sow: 1) Laboratoire de Genie Civil et Genie Mecanique (LGCGM), INSA de Rennes, France 2) Ecole Superieure Polytechnique, Universite Cheikh Anta Diop de Dakar, Senegal Fabrice Bernard and Siham Kamali-Bernard: Laboratoire de Genie Civil et Genie Mecanique (LGCGM), INSA de Rennes, France Cheikh Mouhamed Fadel Kebe: Ecole Superieure Polytechnique, Universite Cheikh Anta Diop de Dakar, Senegal | ||
