Stochastic upscaling via linear Bayesian updating

Sadiq M. Sarfaraz, Bojana V. Rosic, Hermann G. Matthies, Adnan Ibrahimbegovic

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    4 Citations (Scopus)


    In this work we present an upscaling technique for multi-scale computations based on a stochastic model calibration technique. We consider a coarse-scale continuum material model described in the framework of generalized standard materials. The model parameters are considered uncertain, and are determined in a Bayesian framework for the given fine scale data in a form of stored energy and dissipation potential. The proposed stochastic upscaling approach is independent w.r.t. the choice of models on coarse and fine scales. Simple numerical examples are shown to demonstrate the ability of the proposed approach to calibrate coarse scale elastic and inelastic material parameters.
    Original languageEnglish
    Pages (from-to)211-231
    JournalCoupled Systems Mechanics
    Issue number2
    Publication statusPublished - 25 Apr 2018


    • upscaling
    • Bayesian updating
    • Gauss-Markov-Kalman filter
    • coupled plasticity-damage

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