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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Soize, Christian
Université Gustave Eiffel
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (22/22 displayed)
- 2023Sensitivity of a granular homogeneous and isotropic second-gradient continuum model with respect to uncertainties
- 2023Sensitivity with respect to uncertainties of a particle-based homogeneous and isotropic second-gradient continuum model
- 2019Stochastic modeling and identification of an hyperelastic constitutive model for laminated compositescitations
- 2016Stochastic continuum modeling of random interphases from atomistic simulations. Application to a polymer nanocompositecitations
- 2015Modélisation stochastique continue et identification inverse d'interphases aléatoires à partir de simulations atomistiques
- 2015Stochastic modeling for statistical inverse identification in mechanics of materials
- 2015Stochastic representations and statistical inverse identification for uncertainty quantification in computational mechanics
- 2013On the statistical dependence for the components of random elasticity tensors exhibiting material symmetry propertiescitations
- 2009Computational elastoacoustics of uncertain complex systems and experimental validation
- 2009Robust updating of computational models with uncertainties for dynamical systems
- 2009Mesoscale probabilistic models for the elasticity tensor of fiber reinforced composites: Experimental identification and numerical aspectscitations
- 2008Inverse problems in stochastic computational dynamics
- 2007Computational elastoacoustics of uncertain complex systems and experimental validation
- 2007Robust updating of computational models with uncertainties for dynamical systems
- 2007A class of tensor-valued random fields for random anisotropic elastic microstructure modeling and stochastic homogenization
- 2006A class of tensor-valued random fields for random anisotropic elastic microstructure modeling and stochastic homogenization
- 2005Vibroacoustics of a cavity coupled with an uncertain composite panel
- 2005Uncertainties in structural dynamics for composite sandwich panels
- 2005Identification et validation expérimentale d'un modèle stochastique des incertitudes en vibroacoustique d'un panneau composite.
- 2005Probabilistic models for computational stochastic mechanics and applications
- 2005Modèle thermomécanique à haute température et à rupture pour les plaques multicouches carton-plâtre-carton soumises au feu. Expériences et simulations numériques
- 2004Uncertainties in structural dynamics for composite sandwich panels
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article
Stochastic continuum modeling of random interphases from atomistic simulations. Application to a polymer nanocomposite
Abstract
This paper is concerned with the probabilistic multiscale analysis of polymeric materials reinforced by nanoscopic fillers. More precisely, this work is devoted to the stochastic modeling and inverse identification of the random field associated with the elastic properties in the so-called interphase region. For illustration purposes, a prototypical polymer system reinforced by a Silica nanoscopic inclusion is considered. Molecular Dynamics (MD) simulations are first performed and used to characterize the conformational properties of the polymer chains in the neighborhood of the inclusion. It is shown that these chains are characterized by a specific tangential orientation which, together with the density profile and variations in chain mobility, allows for the geometric definition of the interphase region. Mechanical virtual testing is next completed on a set of initial configurations , hence providing a simulated database for model calibration. The results thus obtained are subsequently used to construct a random field model for the interphase stiffness. An inverse calibration procedure is finally proposed and relies on a stated equivalence between the apparent properties obtained from MD simulations and those computed by numerical homogenization in the continuum mechanics formulation. The interphase elasticity random field is seen to exhibit non-negligible fluctuations, and the estimates of parameters related to spatial correlation are shown to be consistent with characteristic lengths of the atomistic model, such as the interphase thickness.