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

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...

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Autores principales: Ramos Nervi, Juan Eduardo, Idiart, Martín Ignacio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86804
Aporte de:
id I19-R120-10915-86804
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Ingeniería Aeronáutica
Damage
Homogenization
Plasticity
Polycrystals
spellingShingle Ingeniería
Ingeniería Aeronáutica
Damage
Homogenization
Plasticity
Polycrystals
Ramos Nervi, Juan Eduardo
Idiart, Martín Ignacio
Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
topic_facet Ingeniería
Ingeniería Aeronáutica
Damage
Homogenization
Plasticity
Polycrystals
description 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 (2007 <i>Proc. R. Soc. A</i> 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.
format Articulo
Articulo
author Ramos Nervi, Juan Eduardo
Idiart, Martín Ignacio
author_facet Ramos Nervi, Juan Eduardo
Idiart, Martín Ignacio
author_sort Ramos Nervi, Juan Eduardo
title Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_short Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_full Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_fullStr Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_full_unstemmed Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_sort bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/86804
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