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A stochastic model for elasticity tensors exhibiting uncertainties on material symmetries

Abstract : 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.
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Submitted on : Saturday, May 5, 2012 - 6:51:13 PM
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Johann Guilleminot, Christian Soize. A stochastic model for elasticity tensors exhibiting uncertainties on material symmetries. Sixth International Conference on Computational Stochastic Mechanics, Jun 2010, Rhodos, Greece. pp.P032, Pages: 298-303, ⟨10.3850/978-981-08-7619-7⟩. ⟨hal-00692832⟩



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