A general theory of thermoporoelastoplasticity for saturated porous materials

Coussy, Olivier

doi:10.1007/bf00138040

Cited by 67 publications

(28 citation statements)

References 7 publications

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“…Constitutive equation (19) may be formally rewritten in the form (23) may be coined as Biot's effective stress since constitutive equation (22) looks the same as the one related to an ordinary elastic solid with K and G as elastic properties. If the solid matrix is incompressible ( s = 0 in (6)), k s goes to infinity so that b goes to 1 and 1/N goes to zero in (21).…”

Section: Linear Poroelasticity and Poroelastic Propertiesmentioning

confidence: 99%

Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept

Coussy

2007

Num Anal Meth Geomechanics

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept O Coussy To cite this version:O Coussy. Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept. International Journal for Numerical and Analytical Methods in Geomechanics, Wiley, 2007, 31 (15) SUMMARYThis paper aims at revisiting the constitutive equations of unsaturated porous solids at the light of a Lagrangian saturation concept. By referring the currently wetted porous volume to the reference configuration, the Lagrangian saturation is the state variable associated with the interfacial energy changes only, irrespective of the elastic energy required for deforming the solid matrix. The Lagrangian saturation concept provides the basis of a generic approach to the theory of poroelastoplasticity in unsaturated conditions. We successively examine the case where the saturating fluids occupy disconnected networks and the case where the networks are connected so that the saturating fluids can invade the porous solid or recede from it. The analysis provides the restricted situations where the averaged pore pressure may play the role of an effective pore pressure.

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Section: Linear Poroelasticity and Poroelastic Propertiesmentioning

confidence: 99%

Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept

Coussy

2007

Num Anal Meth Geomechanics

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“…The theoretical framework that is mostly employed today can be traced back to the pioneering work of several authors such as Biot [6] and Coussy [7]. It combines basically the mechanics of continuous media with the thermodynamics of irreversible processes.…”

Section: Introductionmentioning

confidence: 99%

Mechanical behaviour and failure of cohesive granular materials

Delenne

Youssoufi

Cherblanc

et al. 2004

Num Anal Meth Geomechanics

152

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SUMMARYWe investigate the stress-strain behaviour and failure of a cohesive granular material both by experiments and numerical simulations. The material is an assembly of aluminium rods glued together by means of an epoxy resin. The behaviour of cohesive bonds (force-displacement relationship, failure conditions) is characterized by performing simple loading tests (tension/compression, shear. . .) on a couple of rods. Then, this local behaviour is introduced in a numerical code based on a discrete element method in order to perform numerical compression tests on large samples. The validation of this approach was the main goal of the present investigation that is essentially achieved by a direct comparison between the numerical results and similar experimental tests. As a basic application, we derive the macroscopic cohesion and friction characteristics of random cohesive materials by systematic numerical simulations in a biaxial geometry.

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“…the grains) is assumed elastically and plastically incompressible. As shown by Coussy (1989) these hypotheses allow writing the various equations directly in terms of effective stress. Assuming a single strain hardening mechanism (A, V), the plastic flow rule is written:…”

Section: Main Hypothesismentioning

confidence: 99%

“…The combination of the various plastic equations leads to the incremental law (Loret, 1987): (6) with: (7) and being respectively the elastoplastic and the drained elastic matrix. In (7), H is the strain hardening modulus such that: (8) The proposed linear strain hardening law of the model is written: (9) In (9), k is a second material constants to be experimentally measured.…”

Section: Strain Hardening Lawmentioning

confidence: 99%

A Fully Analytical Solution of the Wellbore Stability Problem under Undrained Conditions Using a Linearised Cam-Clay Model

Charlez

Roateşi

1999

Oil & Gas Science and Technology - Rev. IFP

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Résumé -Solution analytique au problème de stabilité de puits en conditions non drainées utilisant un modèle de Cam-Clay linéarisé -Cet article présente une version linéarisée du modèle de Cam-Clay intégré dans le cadre général de la théorie de la poroplasticité isotherme. La loi de comportement développée à partir du concept des contraintes effectives plastiques ne contient que deux paramètres plastiques (module d'écrouissage et pente de la droite critique). Le modèle est validé sur des chemins de contrainte homogènes (hydrostatique, triaxial drainé et triaxial non drainé) et comparé à des essais expérimentaux obtenus à partir d'essais conventionnels de laboratoire. Ensuite, une version simplifiée du modèle est appliquée au problème du puits dans un champ de contrainte axisymétrique et en conditions non drainées. Compte tenu de la linéarité de la loi et de la connaissance a priori de la région plastique, la solution (contraintes, déformations et pression de pore) est analytique. Les résultats montrent que pour un matériau surconsolidé (degré de consolidation inférieur à 2) la contrainte tangentielle est fortement relâchée dans la zone plastique. Plus la compressibilité du fluide est grande, plus cette relaxation est importante. En termes de stabilité, plus le fluide est compressible, plus le puits sera stable. Finalement, plus le degré de consolidation est grand, moins le puits sera stable.Mots-clés : stabilité, puits, élasticité, non drainé. Abstract -A Fully Analytical Solution of the Wellbore Stability Problem under Undrained Conditions Using a Linearised Cam-Clay Model -This paper presents a linearised version of the

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A general theory of thermoporoelastoplasticity for saturated porous materials

Cited by 67 publications

References 7 publications

Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept

Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept

Mechanical behaviour and failure of cohesive granular materials

A Fully Analytical Solution of the Wellbore Stability Problem under Undrained Conditions Using a Linearised Cam-Clay Model

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