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Artículo

Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques

Ramos Nervi, Juan Eduardo; Idiart, Martín IgnacioIcon
Fecha de publicación: 11/2015
Editorial: The Royal Society
Revista: Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences
ISSN: 1364-5021
e-ISSN: 1471-2946
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Ingeniería Mecánica

Resumen

The 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 linearcomparison homogenization technique developed by Idiart&Ponte Castañeda (2007Proc. R. Soc. A 463, 907-924. (doi:10.1098/rspa.2006.1797)). Hashin-Shtrikman (HS) and Self-Consistent (SC) results in the form of yield surfaces are reported for cubic and hexagonal polycrystals with isotropic texture and varying degrees of crystal anisotropy. In all cases, the surfaces are smooth, closed and convex. Improvements over earlier linear-comparison bounds of up to 40% are found at high-stress triaxialities. New HS results can even be sharper than earlier SC results for some material systems. In the case of deficient crystals, the SC 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 fewer than three independent systems cannot deform at all. We report the sharpest bounds available to date for all classes of material systems considered.
Palabras clave: Damage , Homogenization , Plasticity , Polycrystals
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/77603
DOI: http://dx.doi.org/10.1098/rspa.2015.0380
URL: https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0380
URL: https://www.jstor.org/stable/41511054?seq=1#page_scan_tab_contents
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Articulos(CCT - LA PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Citación
Ramos Nervi, Juan Eduardo; Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 471; 2183; 11-2015; 1-17
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