HAL: hal-00692832, version 1

DOI: 10.3850/978-981-08-7619-7

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Sixth International Conference on Computational Stochastic Mechanics, Rhodos : Grèce (2010)

A stochastic model for elasticity tensors exhibiting uncertainties on material symmetries

J. Guilleminot 1, C. Soize 1

(2011)

This study addresses the stochastic modeling of media whose elasticity tensor exhibits uncertainties on the material symmetry class to which it belongs. More specifically, we focus on the construction of a nonparametric probabilistic model which allows realizations of random elasticity tensors to be simulated, under the constraint that the mean distance (in a sense to be defined) to a given class of material symmetry is specified. Following the eigensystem characterization of the material symmetries, the proposed approach relies on the nonparametric probabilistic model in which a new ensemble SE++ of symmetric positivedefinite random matrices, allowing the variance of selected stochastic eigenvalues to be partially prescribed, is introduced and defined having recourse to the MaxEnt principle. A new methodology and parameterization of the model are then defined.

1:	Laboratoire de Modélisation et Simulation Multi Echelle (MSME)
	Université Paris-Est Marne-la-Vallée (UPEMLV) – Université Paris-Est Créteil Val-de-Marne (UPEC) – CNRS : UMR8208

Research team: Mechanics

Subject

:

Engineering Sciences/Mechanics/Mechanics of materials Physics/Mechanics/Mechanics of materials Mathematics/Probability

Keyword(s): uncertainty quantification – elasticity tensors – material symmetries – nonparametric probabilistic model – model uncertainties – mesoscopic scale – heterogeneous material – random microstructure

hal-00692832, version 1

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From: Christian Soize <>

Submitted on: Saturday, 5 May 2012 18:51:13

Updated on: Monday, 7 May 2012 08:59:25