Coupled systems mechanics

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Stochastic upscaling via linear Bayesian updating

  • Sarfaraz, Sadiq M. (Institute of Scientific Computing, Technische Universitat Braunschweig) ;
  • Rosic, Bojana V. (Institute of Scientific Computing, Technische Universitat Braunschweig) ;
  • Matthies, Hermann G. (Institute of Scientific Computing, Technische Universitat Braunschweig) ;
  • Ibrahimbegovic, Adnan (Lab. de Mecanique Roberval / Centre de Recherche Royallieu, Universite de Technologie de Compiegne)
  • Received : 2017.08.23
  • Accepted : 2017.09.28
  • Published : 2018.04.25
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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.

Keywords

References

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