Formulation and computational application of inelastic media with uncertain parameters

B.V. Rosić*, H.G. Matthies, M. Žiković, A. Ibrahimbegović

*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Introducing input parameters as random fields and processes and applying a stochastic Galerkin approximation, we obtain opportunity to develop the stochastic radial return mapping algorithm for the case of hardening plasticity in domain of small deformations. Further on, we consider more complicated situations connected with the problem of large deformations. In order to find the best suitable approach, we applied the stochastic collocation method compared with previous one according to the reference solution obtained by Monte Carlo simulation. However, utilised approaches assume isotropic material conditions, not the heterogeneous ones. Therefore, we employ the non-parametric probabilistic method in order to describe heterogeneities of material.

Original languageEnglish
Title of host publicationComputational Plasticity X - Fundamentals and Applications
Subtitle of host publicationproceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009
EditorsE. Oñate
Place of PublicationBarcelona
PublisherCIMNE
ISBN (Print)9788496736696
Publication statusPublished - 1 Dec 2009
Externally publishedYes
Event10th International Conference on Computational Plasticity, COMPLAS 2009 - Barcelona, Spain
Duration: 2 Sep 20094 Sep 2009
Conference number: 10

Conference

Conference10th International Conference on Computational Plasticity, COMPLAS 2009
Abbreviated titleCOMPLAS
CountrySpain
CityBarcelona
Period2/09/094/09/09

Keywords

  • Collocation
  • Karhunen-loéve expansion
  • Uncertain inelasticity

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  • Cite this

    Rosić, B. V., Matthies, H. G., Žiković, M., & Ibrahimbegović, A. (2009). Formulation and computational application of inelastic media with uncertain parameters. In E. Oñate (Ed.), Computational Plasticity X - Fundamentals and Applications: proceeedimgs of the X International Conference on Computational Plasticity, Barcelona, 2-4 September 2009 Barcelona: CIMNE.