Recent advances in prior probabilistic representations for non-Gaussian mesoscale random fields of apparent properties

Johann Guilleminot (1) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

In this presentation, we propose and review the most recent advances in the construction and random generation of prior algebraic probabilistic representations for random elds of mesoscale properties. The approach is illustrated on elasticity tensor random elds exhibiting material symmetry properties.

Mots clés: uncertainty quantification; apparent properties; random microstructure; probabilistic model

Domaines: Mécanique [physics.med-ph]; Matériaux; Probabilités [math.PR]; Statistiques [math.ST]

Johann Guilleminot, Christian Soize. Recent advances in prior probabilistic representations for non-Gaussian mesoscale random fields of apparent properties. Euromech 537, Multi-scale Computational Homogenization of Heterogeneous Structures and Materials, Université Paris-Est Marne-la-Vallée, Mar 2012, Marne-la-Vallée, France. pp.1-2. ⟨hal-00698781⟩