Identification of a mesoscale model with multiscale experimental observations

M.-T. Nguyen 1 Christophe Desceliers 1 Christian Soize 1
1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
Abstract : We consider a mesoscale modeling of a complex microstructure for which the medium is modeled with apparent properties represented by an elasticity-tensor random field. A complete methodology is proposed for the experimental identification of the random field at mesoscale (1) using image field measurements at macro- and mesoscales, (2) introducing two associated boundary value problems for which the change of scale is performed in the context of stochastic homogenization and (3) using statistical inverse methods. A validation will be presented for cortical bone with experimental simulations which measure displacement (or strain) fields at the macro- and mesoscales for a given sample submitted to a given load.
Keywords : Elasticity tensor random field mesoscopic experimental identification microstructure stochastic homogenization image field statistical inverse method
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M.-T. Nguyen, Christophe Desceliers, Christian Soize. Identification of a mesoscale model with multiscale experimental observations. IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures, IUTAM, Sep 2013, Santorini Island, Greece. pp.1-13. ⟨hal-00862219⟩

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