A limit analysis approach to derive a thermodynamic damage potential for non-linear geomaterials
Identifieur interne : 005F14 ( Main/Exploration ); précédent : 005F13; suivant : 005F15A limit analysis approach to derive a thermodynamic damage potential for non-linear geomaterials
Auteurs : A. Karrech [Australie] ; T. Poulet [Australie] ; K. Regenauer-Lieb [Australie]Source :
- Philosophical magazine : (2003. Print) [ 1478-6435 ] ; 2012.
Descripteurs français
- Pascal (Inist)
- Fonction thermodynamique, Endommagement, Effet non linéaire, Modèle mathématique, Continuum, Matériau non linéaire, Processus irréversible, Cisaillement, Traitement thermique, Fluage, Rhéologie, Dépendance temps, Dépendance température, Teneur eau, Humidité, Analyse thermomécanique, Localisation, Haute température, 6220F, 6220Q, 6540G.
English descriptors
- KwdEn :
Abstract
This paper introduces a mathematical model which describes the continuum damage of non-linear geo-materials. The model accounts for full thermo-mechanical coupling as well as irreversible failure and its effect on shear heating. It involves multi-mechanisms creep to describe the material rheology depending on time, temperature, pressure and water content. This coupled thermo-mechanical model combined with the upper bound theory is used to formulate a potential capable of predicting the damage evolution. The model is implemented and applied to a cross-sectional geological layer subjected to extension. It reveals that damage accelerates the creation of faults and accentuates the localization of shear zones, thereby competing with the increase in material rigidity due to rate dependency, especially at high temperature.
Affiliations:
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Continuum</term>
<term>Creep</term>
<term>Damage</term>
<term>Heat treatments</term>
<term>High temperature</term>
<term>Humidity</term>
<term>Irreversible processes</term>
<term>Localization</term>
<term>Mathematical models</term>
<term>Moisture</term>
<term>Non linear effect</term>
<term>Non linear material</term>
<term>Rheology</term>
<term>Shear</term>
<term>Temperature dependence</term>
<term>Thermodynamic function</term>
<term>Thermomechanical analysis</term>
<term>Time dependence</term>
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<keywords scheme="Pascal" xml:lang="fr"><term>Fonction thermodynamique</term>
<term>Endommagement</term>
<term>Effet non linéaire</term>
<term>Modèle mathématique</term>
<term>Continuum</term>
<term>Matériau non linéaire</term>
<term>Processus irréversible</term>
<term>Cisaillement</term>
<term>Traitement thermique</term>
<term>Fluage</term>
<term>Rhéologie</term>
<term>Dépendance temps</term>
<term>Dépendance température</term>
<term>Teneur eau</term>
<term>Humidité</term>
<term>Analyse thermomécanique</term>
<term>Localisation</term>
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<front><div type="abstract" xml:lang="en">This paper introduces a mathematical model which describes the continuum damage of non-linear geo-materials. The model accounts for full thermo-mechanical coupling as well as irreversible failure and its effect on shear heating. It involves multi-mechanisms creep to describe the material rheology depending on time, temperature, pressure and water content. This coupled thermo-mechanical model combined with the upper bound theory is used to formulate a potential capable of predicting the damage evolution. The model is implemented and applied to a cross-sectional geological layer subjected to extension. It reveals that damage accelerates the creation of faults and accentuates the localization of shear zones, thereby competing with the increase in material rigidity due to rate dependency, especially at high temperature.</div>
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