Berlin 2008 – wissenschaftliches Programm

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SYMS: Symposium Modern developments in multiphysics materials simulations

SYMS 2: Modern developments in multiphysics materials simulations II - Poster (joined by SYEC posters)

SYMS 2.5: Poster

Donnerstag, 28. Februar 2008, 18:30–19:30, Poster F

Error-propagation in multi-scale approaches to the elasticity of polycrystals — •Martin Friák and Jörg Neugebauer — Max-Planck-Institut für Eisenforschung GmbH, Max-Planck-Strasse 1, 402 37, Düsseldorf, Germany

The fundamental elements of many state-of-the-art multi-scale strategies are coarse-graining and inverse-mapping methods for the inter-scale parameter transfer. What has received only little attention recently is the fact that the parameter values determined on one scale may not be processed and transferred to another scale as infinitely precise. The crucial aspects that must be taken into account are then (i) limited precision of the single-scale parameter determination and (ii) frequently non-linear character of the actual multi-scale methodology employed. In our paper the multi-scale error propagation is addressed in case of the ab-initio based homogenization approaches to the elasticity of polycrystalline metallic materials. The problem is illustrated on three widely used schemes of (i) Voight, (ii) Reuss, and (iii) Hershey and Dahlgren [1]. The reliability and error-bars of the approaches are cross-validated against the experimental data for a few selected systems [2].

[1] A. V. Hershey and V. A. Dahlgren, J. Appl. Mech. 9, 49 (1954). [2] D. Raabe, B. Sander, M. Friák, D. Ma and J. Neugebauer, Acta Mater. 55, 4475 (2007).