An enriched constitutive modelling framework for localised failure of geomaterials

Localised failure in geomaterials is preceded and accompanied by intensive deformation and irreversible micro-structural changes of the material in a small but finite size region. Shear, compaction, and dilation bands observed in soils and porous rocks are typical examples of phenomena that lead to...

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Autor principal:	Nguyen,Giang D
Lenguaje:	English
Publicado:	Universidad Católica de la Santísima Concepción 2014
Materias:	length scales constitutive modelling localised failure discontinuity bifurcation damage fracture energy
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132014000100003
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spelling	oai:scielo:S0718-281320140001000032014-09-02An enriched constitutive modelling framework for localised failure of geomaterialsNguyen,Giang D length scales constitutive modelling localised failure discontinuity bifurcation damage fracture energy Localised failure in geomaterials is preceded and accompanied by intensive deformation and irreversible micro-structural changes of the material in a small but finite size region. Shear, compaction, and dilation bands observed in soils and porous rocks are typical examples of phenomena that lead to localised failure. The width h of the localisation band has been experimentally shown to be a physical quantity related to the microstructure of the material. On the other hand, numerical methods for the solution of boundary value problems usually introduce another length scale H, as a result of the spatial discretisation of the considered domain into smaller ones over which the constitutive response of the material is defined in terms of incremental stress-strain relationships. While h, as a physical quantity, is fixed, H varies with the resolution of the numerical discretisation. Since h scales with the material microstructure and therefore is usually much smaller than the resolution of the numerical discretisation, the case H > h is considered in this study, e.g. failure behaviour governed by a localisation band of width h embedded in an elastic bulk of nominal side H. We present a general constitutive modelling framework to connect these two scales, and corresponding responses of the materials inside and outside the localisation zone. We demonstrate how this approach can help obtain physically meaningful solutions that are independent of the spatial discretisation in numerical analysis. Numerical analyses of localised failure in quasi-brittle materials are used to further highlight the features and applicability of the proposed approach.info:eu-repo/semantics/openAccessUniversidad Católica de la Santísima ConcepciónObras y proyectos n.15 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132014000100003en10.4067/S0718-28132014000100003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	length scales constitutive modelling localised failure discontinuity bifurcation damage fracture energy
spellingShingle	length scales constitutive modelling localised failure discontinuity bifurcation damage fracture energy Nguyen,Giang D An enriched constitutive modelling framework for localised failure of geomaterials
description	Localised failure in geomaterials is preceded and accompanied by intensive deformation and irreversible micro-structural changes of the material in a small but finite size region. Shear, compaction, and dilation bands observed in soils and porous rocks are typical examples of phenomena that lead to localised failure. The width h of the localisation band has been experimentally shown to be a physical quantity related to the microstructure of the material. On the other hand, numerical methods for the solution of boundary value problems usually introduce another length scale H, as a result of the spatial discretisation of the considered domain into smaller ones over which the constitutive response of the material is defined in terms of incremental stress-strain relationships. While h, as a physical quantity, is fixed, H varies with the resolution of the numerical discretisation. Since h scales with the material microstructure and therefore is usually much smaller than the resolution of the numerical discretisation, the case H > h is considered in this study, e.g. failure behaviour governed by a localisation band of width h embedded in an elastic bulk of nominal side H. We present a general constitutive modelling framework to connect these two scales, and corresponding responses of the materials inside and outside the localisation zone. We demonstrate how this approach can help obtain physically meaningful solutions that are independent of the spatial discretisation in numerical analysis. Numerical analyses of localised failure in quasi-brittle materials are used to further highlight the features and applicability of the proposed approach.
author	Nguyen,Giang D
author_facet	Nguyen,Giang D
author_sort	Nguyen,Giang D
title	An enriched constitutive modelling framework for localised failure of geomaterials
title_short	An enriched constitutive modelling framework for localised failure of geomaterials
title_full	An enriched constitutive modelling framework for localised failure of geomaterials
title_fullStr	An enriched constitutive modelling framework for localised failure of geomaterials
title_full_unstemmed	An enriched constitutive modelling framework for localised failure of geomaterials
title_sort	enriched constitutive modelling framework for localised failure of geomaterials
publisher	Universidad Católica de la Santísima Concepción
publishDate	2014
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-28132014000100003
work_keys_str_mv	AT nguyengiangd anenrichedconstitutivemodellingframeworkforlocalisedfailureofgeomaterials AT nguyengiangd enrichedconstitutivemodellingframeworkforlocalisedfailureofgeomaterials
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An enriched constitutive modelling framework for localised failure of geomaterials

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