Skip to Main content Skip to Navigation
Conference papers

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.
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-00692832
Contributor : Christian Soize <>
Submitted on : Saturday, May 5, 2012 - 6:51:13 PM
Last modification on : Thursday, March 19, 2020 - 11:52:03 AM
Long-term archiving on: : Monday, August 6, 2012 - 2:20:16 AM

File

conference-2010-CSM-Rhodes-13-...
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

345

Files downloads

306