Poroelastic two‐phase material modeling: theoretical formulation and embedded finite element method implementation |
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| Authors: | Nathan Benkemoun Rachel Gelet Emmanuel Roubin Jean‐Baptiste Colliat |
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| Institution: | 1. Institut de Recherche en Génie Civil et Mécanique (GeM), UMR CNRS 6183, Université de Nantes, Ecole Centrale de Nantes, Saint‐Nazaire, France;2. LMT–Cachan, Ecole Normale Supérieure de Cachan, Université Paris VI, CNRS, UniverSud?Paris, 61 avenue du Président Wilson, Cachan Cedex, France;3. Laboratoire de Mécanique de Lille, Université Sciences et Technologies Lille 1, CNRS, Ecole Centrale de Lille, Arts et Métiers ParisTech, Villeneuve d'Ascq Cedex, France |
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| Abstract: | This paper presents the formulation of FEMs for the numerical modeling of a poroelastic two‐phase (aggregates/mixture phase) solid. The displacement and pressure fields are decomposed, following the Enhanced Assumed Strain (EAS) method, into a regular part and an enhanced part. This leads to discontinuous strain and pressure gradient fields allowing to capture the jump in mechanical and hydrical properties passing through the interface between the aggregates and the mixture phase. All these enhanced fields are treated in the context of the embedded FEM through a local enhancement of the finite element interpolations as these jumps appear. The local character of these interpolations leads after a static condensation of the enhanced fields to a problem exhibiting the same structure as common poroelastic finite element models but incorporating now the mechanical and hydrical properties of a two‐phase solid. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | E‐FEM EAS method weak discontinuity poroelasticity Darcy law return mapping operator split static condensation |
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