000015360 001__ 15360
000015360 005__ 20161115100219.0
000015360 04107 $$aeng
000015360 046__ $$k2016-08-21
000015360 100__ $$aLebensohn, Ricardo
000015360 24500 $$aSpectral non-local crystal plasticity modelling of size effects in polycrystals

000015360 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015360 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015360 506__ $$arestricted
000015360 520__ $$2eng$$aThe numerical implementation of a non-local polycrystal plasticity theory using the FFT-based formulation of Moulinec and Suquet [l] is presented. Gurtin’s [2] non-local formulation has been incorporated in the elasto-viscoplastic (EVP-FFT) algorithm of Lebensohn et a1. [3]. Numerical procedures for the accurate estimation of higher order derivatives of micromechanical fields, required for feedback into single crystal constitutive relations, are identified and applied. A simple case of a periodic laminate made of two fcc crystals is first used to assess the soundness and numerical stability of the proposed algorithm. Different behaviors at grain boundaries are explored, and the one consistent with the micro-clamped condition gives the most pronounced size effect. The new formulation is applied to the case of 3-D fcc polycrystals, illustrating the possibilities offered by the proposed scheme to accurately solve large problems in reasonable computing times.

000015360 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015360 653__ $$a

000015360 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015360 720__ $$aLebensohn, Ricardo
000015360 8560_ $$ffischerc@itam.cas.cz
000015360 8564_ $$s149442$$uhttps://invenio.itam.cas.cz/record/15360/files/TS.SM10-4.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2504, code TS.SM10-4.05
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000015360 962__ $$r13812
000015360 980__ $$aPAPER