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Coupled Systems Mechanics Volume 7, Number 2, April 2018 , pages 211-232 DOI: https://doi.org/10.12989/csm.2018.7.2.211 |
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Stochastic upscaling via linear Bayesian updating |
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Sadiq M. Sarfaraz Bojana V. Rosic, Hermann G. Matthies and Adnan Ibrahimbegovic
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| Abstract | ||
| 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. | ||
| Key Words | ||
| upscaling; Bayesian updating; Gauss-Markov-Kalman filter; coupled plasticity-damage | ||
| Address | ||
| Sadiq M. Sarfaraz Bojana V. Rosic and Hermann G. Matthies: Institute of Scientific Computing, Technische Universitat Braunschweig 38106 Braunschweig, Germany Adnan Ibrahimbegovic: Lab. de Mecanique Roberval/Centre de Recherche Royallieu, Universite de Technologie de Compiegne, 60203 Compiegne, France | ||
