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- W593256384 abstract "Abstract The aim of this work is to develop a stochastic multiscale model for polycrystalline materials, which accounts for the uncertainties in the micro-structure. At the finest scale, we model the micro-structure using a random Voronoi tessellation, each grain being assigned a random orientation. Then, we apply a computational homogenization procedure on statistical volume elements to obtain a stochastic characterization of the elasticity tensor at the meso-scale. A random field of the meso-scale elasticity tensor can thus be generated based on the information obtained from the SVE simulations. Finally, using a stochastic finite element method, these meso-scale uncertainties are propagated to the coarser scale. As an illustration we study the resonance frequencies of MEMS micro-beams made of poly-silicon materials, and we show that the stochastic multiscale approach predicts results in agreement with a Monte Carlo analysis applied directly on the fine finite-element model, i.e. with an explicit discretization of the grains." @default.
- W593256384 created "2016-06-24" @default.
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- W593256384 date "2015-09-01" @default.
- W593256384 modified "2023-09-29" @default.
- W593256384 title "A stochastic computational multiscale approach; Application to MEMS resonators" @default.
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- W593256384 doi "https://doi.org/10.1016/j.cma.2015.05.019" @default.
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