Uncertainty quantification in computational nonlinear elasticity

E. Capiez-Lernout, C. Soize, Marc Mignolet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work presents a methodology for the construction of an uncertain nonlinear computational model adapted to the static analysis of a complex mechanical system. The deterministic nonlinear computational model is constructed with the finite element method using a total Lagrangian formulation. The finite element nonlinear response is then considered as a reference deterministic solution from which a reduced-order basis is constructed using the POD (Proper Orthogonal Decomposition) methodology. The mean reduced nonlinear computational model is thus obtained by projecting the reference deterministic solution on this basis. The explicit construction of the mean reduced nonlinear computational model is proposed for any type of structure modeled with three-dimensional solid finite elements. A procedure for the robust identification of the uncertain nonlinear computational model with respect to experimental responses is then given. Finally the methodology is applied to a structure for which simulated experiments are given.

Original languageEnglish (US)
Title of host publicationASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012
Pages123-132
Number of pages10
DOIs
StatePublished - 2012
EventASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012 - Nantes, France
Duration: Jul 2 2012Jul 4 2012

Publication series

NameASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012
Volume1

Other

OtherASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012
CountryFrance
CityNantes
Period7/2/127/4/12

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering

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    Capiez-Lernout, E., Soize, C., & Mignolet, M. (2012). Uncertainty quantification in computational nonlinear elasticity. In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012 (pp. 123-132). (ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, ESDA 2012; Vol. 1). https://doi.org/10.1115/ESDA2012-82246