Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques

A linear-comparison homogenization technique and its relaxed version are used to compute bounds of the Hashin–Shtrikman and the self-consistent types for the hydrostatic strength of ideally plastic voided polycrystals. Closed-form analytical results are derived for isotropic aggregates of various cu...

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Detalles Bibliográficos
Autores: Idiart, Martín Ignacio, Ramos Nervi, Juan Eduardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/24625
Acceso en línea:http://hdl.handle.net/11336/24625
Access Level:acceso abierto
Palabra clave:Polycrystals
Plasticity
Homogenization
Bounds
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
Descripción
Sumario:A linear-comparison homogenization technique and its relaxed version are used to compute bounds of the Hashin–Shtrikman and the self-consistent types for the hydrostatic strength of ideally plastic voided polycrystals. Closed-form analytical results are derived for isotropic aggregates of various cubic symmetries (fcc, bcc, ionic). The impact of the variational relaxation on the bounds is found to be significantly larger than that previously observed in fully dense polycrystals. So much so that, quite surprisingly, relaxed self-consistent bounds are found to be weaker than non-relaxed Hashin–Shtrikman bounds in some of the material systems considered.