Sparse Bayesian polynomial chaos approximations of elasto-plastic material models

Bojana Rosić*, Hermann G. Matthies

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)

Abstract

In this paper we studied the uncertainty quantification in a functional approximation form of elastoplastic models parameterised by material uncertainties. The problem of estimating the polynomial chaos coefficients is recast in a linear regression form by taking into consideration the possible sparsity of the solution. Departing from the classical optimisation point of view, we take a slightly different path by solving the problem in a Bayesian manner with the help of new spectral based sparse Kalman filter algorithms.

Original languageEnglish
Title of host publicationProceedings of the 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017
EditorsEugenio Onate, Djordje Peric, D. Roger J. Owen, Michele Chiumenti
Place of PublicationBarcelona
PublisherCIMNE
Pages256-267
Number of pages12
ISBN (Print)978-84-946909-6-9
Publication statusPublished - 1 Jan 2017
Externally publishedYes
Event14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 - Barcelona, Spain
Duration: 5 Sep 20177 Sep 2017
Conference number: 14
http://congress.cimne.com/complas2017/frontal/Series.asp

Conference

Conference14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017
Abbreviated titleCOMPLAS 2017
CountrySpain
CityBarcelona
Period5/09/177/09/17
Internet address

Keywords

  • Iterative spectral filter
  • Sparse Bayesian inference
  • Sparse polynomial chaos expansion
  • Spectral kalman filtering
  • Stochastic elastoplasticity
  • Uncertainty quantification

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  • Cite this

    Rosić, B., & Matthies, H. G. (2017). Sparse Bayesian polynomial chaos approximations of elasto-plastic material models. In E. Onate, D. Peric, D. R. J. Owen, & M. Chiumenti (Eds.), Proceedings of the 14th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2017 (pp. 256-267). Barcelona: CIMNE.