Cracking risk of partially saturated porous media-Part II: Application to drying shrinkage

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 34, Issue 2, 2010, Pages 159-186

  Pichler, Bernhard ^a   Dormieux, Luc ^a  

^a UNIVERSITÉ PARIS EST   (France)

Author keywords

Argillite; Crack propagation; Double porosity materials; Drying; Drying shrinkage; Homogenization; Linear poroelasticity; Micromechanics; Microporomechanics; Poromechanics; Van genuchten model

Indexed keywords

CRACK PROPAGATION; DEFORMATION; DRYING; HOMOGENIZATION METHOD; KINEMATICS; MICROMECHANICS; POROUS MATERIALS; SHRINKAGE; STRESS INTENSITY FACTORS; THERMODYNAMICS;

ARGILLITE; DOUBLE POROSITY; DRYING SHRINKAGES; LINEAR POROELASTICITY; MICROPOROMECHANICS; PORO-MECHANICS; VAN GENUCHTEN MODEL;

CRACKS;

ARGILLITE; CRACK PROPAGATION; CRACKING; DEFORMATION; KINEMATICS; MICROMECHANICS; POROELASTICITY; POROUS MEDIUM; SHRINKAGE;

EID: 77953239533     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.800     Document Type: Article

References (19)

1. Pichler B, Dormieux L. Cracking risk of partially saturated porous media-part I: microporoelasticity model. International Journal for Numerical and Analytical Methods in Geomechanics 2008; in print. DOI: 10.1002/nag.801.
2. Salencon J. Handbook of Continuum Mechanics. Springer: Berlin, Heidelberg, NewYork, 2001.
3. Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 1973; 21(5):571-574.
4. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mechanics of Materials 1987; 6(2):147-157.
5. Dormieux L, Lemarchand E, Sanahuja J. Comportement macroscopique des matériaux poreux á microstructure en feuillets [Macroscopic behavior of porous materials with lamellar microstructure]. Comptes Rendus Mécanique 2006; 334(5):304-310 (in French).
6. Kröner E. Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls [Computation of the elastic constants of a polycrystal based on the constants of the single crystal]. Zeitschrift f̈ur Physik A Hadrons and Nuclei 1958; 151(4):504-518 (in German).
7. Hershey AV. The elasticity of an isotropic aggregate of anisotropic cubic crystals. Journal of Applied Mechanics (ASME) 1954; 21:226-240.
8. Chateau X, Dormieux L, Xu Y. Évaluation de l'influence des changements de géométrie sur les déformations de séchage d'un milieu poreux fissuré [Influence of geometry changes on drying-induced strains in a cracked solid]. Comptes Rendus Mécanique 2003; 331(10):679-686 (in French).
9. Dormieux L, Sanahuja J, Maghous S. Influence of capillary effects on strength of non-saturated porous media. Comptes Rendus Mécanique 2006; 334(1):19-24.
10. Levin VM. Thermal expansion coefficient of heterogeneous materials. Mekhanika Tverdogo Tela 1967; 2(1):83-94.
11. Laws N. On the thermostatics of composite materials. Journal of the Mechanics and Physics of Solids 1973; 21(1):7-17.
12. Budiansky B, O'Connell JR. Elastic moduli of a cracked solid. International Journal for Solids and Structures 1976; 12(2):81-97.
13. Dormieux L, Kondo D, Ulm F-J. Microporomechanics. Wiley: New York, 2006.
14. Dormieux L, Kondo D, Ulm F-J. A micromechanical analysis of damage propagation in fluid-saturated cracked media. Comptes Rendus Mécanique 2006; 334(7):440-446.
15. Deudé V, Dormieux L, Kondo D, Maghous S. Micromechanical approach to nonlinear poroelasticity: application to cracked rock. Journal of Engineering Mechanics (ASCE) 2002; 128(8):848-855.
16. Pichler B, Hellmich Ch, Mang HA. A combined fracture-micromechanics model for tensile strain-softening in brittle materials, based on propagation of interacting microcracks. International Journal for Numerical and Analytical Methods in Geomechanics 2007; 31(2):111-132.
17. van Genuchten MTh. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 1980; 44(5):892-898.
18. Drugan WR, Willis JR. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Journal of the Mechanics and Physics of Solids 1996; 44(4):497-524.
19. Pichler B, Cariou S, Dormieux L. Damage evolution in an underground gallery induced by drying. International Journal for Multiscale Computational Engineering 2009; in print.