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

The elastoplastic response of polycrystalline metals and minerals above their brittle- ductile transition temperature is idealized here as rigid-perfectly plastic. Bounds on the overall plastic strength of polycrystalline solids with prescribed microstructural statistics and single-crystal plastic s...

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Autor principal: Idiart, Martín Ignacio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
Homogenization
Plasticity
Polycrystals
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84268
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84268
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Homogenization
Plasticity
Polycrystals
spellingShingle Física
Homogenization
Plasticity
Polycrystals
Idiart, Martín Ignacio
Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
topic_facet Física
Homogenization
Plasticity
Polycrystals
description The elastoplastic response of polycrystalline metals and minerals above their brittle- ductile transition temperature is idealized here as rigid-perfectly plastic. Bounds on the overall plastic strength of polycrystalline solids with prescribed microstructural statistics and single-crystal plastic strength are computed by means of a linear-comparison homogenization method recently developed by Idiart & Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907-924 (doi:10.1098/rspa.2006.1797)). Hashin- Shtrikman and self-consistent results are reported for cubic and hexagonal polycrystals with varying degrees of crystal anisotropy. Improvements over earlier linear-comparison bounds are found to be modest for high-symmetry materials but become appreciable for low-symmetry materials. The largest improvement is observed in self-consistent results for low-symmetry hexagonal polycrystals, exceeding 15 per cent in some cases. In addition to providing the sharpest bounds available to date, these results serve to evaluate the performance of the aforementioned linear-comparison method in the context of realistic material systems.
format Articulo
Articulo
author Idiart, Martín Ignacio
author_facet Idiart, Martín Ignacio
author_sort Idiart, Martín Ignacio
title Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_short Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_full Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_fullStr Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_full_unstemmed Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_sort bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84268
work_keys_str_mv AT idiartmartinignacio boundingtheplasticstrengthofpolycrystallinesolidsbylinearcomparisonhomogenizationmethods
bdutipo_str Repositorios
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