Formulation of a heterogeneous stochastic elasto-plastic material

Bojana Rosić*, Hermann Matthies, Miroslav Zivkovic, Adnan Ibrahimbegovié

*Corresponding author for this work

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

Abstract

Heterogeneities at the micro-structural level are usually subjected to a number of uncertainties. There it is assumed that the heterogeneous material behaves according to an elasto-plastic model, but with uncertain parameters, which are modeled as random fields like Young's modulus, yield stress etc. Actually, we try to model the simplest variant which is isotropic elasto-perfectly plastic behavior. The evolution law for the internal variables now becomes a stochastic law. The internal variables are also modeled as random fields and we develop evolution equations for these. This uses the polynomial chaos expansion to project the evaluation laws of the internal variables. The internal variables are also modeled as random fields, and we develop evolution equations for these. This uses the polynomial chaos expansion to project the evaluation laws of the internal variables, giving evolution equations for each component in the expansion. By truncating the expansion, a numerical procedure is derived to actually compute the evolution of the internal parameters as random variables. This in turn then enables us to compute various quantities of interest; which are functional of the internal parameters, like their mean and variance, or for example the exceedence probability of a certain level.

Original languageEnglish
Title of host publicationComputational Plasticity - Fundamentals and Applications, COMPLAS IX
Pages345-348
Number of pages4
Volume1
Publication statusPublished - 1 Dec 2007
Externally publishedYes
Event9th International Conference on Computational Plasticity. Fundamentals and Applications, COMPLAS 2007 - Barcelona, Spain
Duration: 5 Sep 20077 Sep 2007
Conference number: 9

Conference

Conference9th International Conference on Computational Plasticity. Fundamentals and Applications, COMPLAS 2007
Abbreviated titleCOMPLAS 2007
CountrySpain
CityBarcelona
Period5/09/077/09/07

Keywords

  • Karhunen-Loève expansion
  • Stochastic elasto-plasticity
  • Uncertain parameters
  • Wiener's polynomial chaos

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  • Cite this

    Rosić, B., Matthies, H., Zivkovic, M., & Ibrahimbegovié, A. (2007). Formulation of a heterogeneous stochastic elasto-plastic material. In Computational Plasticity - Fundamentals and Applications, COMPLAS IX (Vol. 1, pp. 345-348)