000015437 001__ 15437
000015437 005__ 20161115100221.0
000015437 04107 $$aeng
000015437 046__ $$k2016-08-21
000015437 100__ $$aIdiart, Martin
000015437 24500 $$aBounds for the plastic strength of polycrystalline voided solids

000015437 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015437 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015437 506__ $$arestricted
000015437 520__ $$2eng$$aThe elastoplastic response of polycrystalline voided solids is idealized here as rigid-perfectly plastic. Bounds on the macroscopic plastic strength for prescribed microstructural statistics and single-crystal strength are computed be means of a linear-comparison homogenization technique. Hashin-Shtrikman and Self-Consistent results in the form of yield surfaces are reported for cubic and hexagonal polycrystals with isotropic texture and varying degrees of crystal anisotropy. Improvements over earlier linear-comparison bounds of up to forty per cent are found at high stress triaxialities. In the case of deficient crystals, the Self-Consistent results assert that voided aggregates of crystals with four independent systems can accommodate arbitrary deformations, those with three independent systems can dilate but not distort, and those with less than three independent systems cannot deform at all. We report the sharpest bounds available to date for all classes of material systems considered.

000015437 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015437 653__ $$a

000015437 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015437 720__ $$aIdiart, Martin
000015437 8560_ $$ffischerc@itam.cas.cz
000015437 8564_ $$s114555$$uhttps://invenio.itam.cas.cz/record/15437/files/TS.SM13-4.05.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2720, code TS.SM13-4.05
.
000015437 962__ $$r13812
000015437 980__ $$aPAPER