Microporomechanics

Microporomechanics

Volumn , Issue , 2006, Pages 1-328

  Dormieux, Luc ^a   Kondo, Djimédo ^b   Ulm, Franz Josef ^c  

^a UNIVERSITÉ PARIS EST   (France)

^b LABORATOIRE DE MÉCANIQUE DE LILLE   (France)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84889351762     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0470032006     Document Type: Book

References (52)

1. P.W. Atkins. Physical chemistry. Oxford University Press, Oxford, 1992.
2. J.-L. Auriault. Comportement des milieux poreux saturés. In F. Darve, editor, Manuel de rhéologie des géomatériaux. Presses de l'Ecole Nationale des Ponts et Chaussées, Paris, 1987.
3. J.-L. Auriault and Y. Lewandowska. Diffusion/adsorption/advection macrotransport in soils. Eur. J. Mech. A/Solids, 15:681-704, 1996.
4. J.-L. Auriault and E. Sanchez-Palencia. Etude du comportement macroscopique d'un milieu poreux saturé déformable. J.Méc., 16:575-603, 1977.
5. J.F. Barthélémy and L. Dormieux. Détermination du critère de rupture macroscopique d'un milieu poreux par homogénéisation non linéaire. C. R. Méc., 331:77-84, 2003.
6. J. Bear and Y. Bachmat. Introduction to the modelling of transport phenomena in porous media. Kluwer Academic Dordrecht, 1990.
7. N. Bilger, M. Bornert, F. Auslender, A. Zaoui, and R. Masson. Surface d'écoulement macroscopique des milieux poreux: modification du critère de Gurson par une approche micromécanique. In XV. Congrès Français de Mécanique, Nancy, France, 2001.
8. M.A. Biot. General theory of three-dimensional consolidation. J. Appl. Phys., 12:155-164, 1941.
9. B. Budiansky and R. O'Connell. Elastic moduli of a cracked solid. Int. J. Solids Struct., 12:81-97, 1976.
10. H.D. Bui. Etude de l'évolution de la frontière du domaine élastique avec l'écrouissage et relations de comportement élasto-plastique des métaux cubiques. PhD thesis, Université Paris VI, 1969.
11. A. Cheng. Material coefficients of anisotropic poroelasticity. Int. J. Rock Mech. Min. Sci., 34:199-205, 1997.
12. O. Coussy. Poromechanics. JohnWiley & Sons, Ltd. Chichester, 2004.
13. P. de Buhan, X. Chateau, and L. Dormieux. The constitutive equations of finite strain poroelasticity in the light of a micro-macro approach. Eur. J. Mech. A/Solids, 17:909-921, 1998.
14. P. de Buhan and L. Dormieux. On the validity of the effective stress concept for assessing the strength of saturated porous materials: a homogenization approach. J. Mech. Phys. Solids, 44:1649-1667, 1996.
15. P. de Buhan and L. Dormieux. A micromechanics-based approach to the failure of saturated porous media. Trans. Porous Media, 34:47-62, 1999.
16. V. Deudé, L. Dormieux, D. Kondo, and S. Maghous. Micromechanical approach to nonlinear poroelasticity: application to cracked rocks. J. Eng. Mech., 128:848-855, 2002.
17. V. Deudé, L. Dormieux, D. Kondo, and V. Pensée. Nonlinear elastic properties of a mesocracked medium. C. R. Acad. Sci. Paris, série IIb, 330:587-592, 2002.
18. L. Dormieux and D. Kondo. Diffusive transport in disordered media. Application to the determination of the tortuosity and the permeability of cracked materials. In L. Dormieux and F.-J. Ulm, editors, Applied micromechanics of porous materials. Springer, Berlin, 2005.
19. L. Dormieux and D. Kondo. Poroelasticity and damage theory for saturated cracked media. In L. Dormieux and F.-J. Ulm, editors, Applied micromechanics of porous materials. Springer, Berlin, 2005.
20. L. Dormieux and E. Lemarchand. An homogenization approach of advection and diffusion in cracked porous material. J. Eng. Mech., 127(12):1267-1274, 2001.
21. A. Dragon and D. Halm. Damage Mechanics - Some modelling challenges. Polish Academy of Sciences, IPPT PAN,Warsaw, 2004.
22. F.A.L. Dullien. Porous media, fluid transport and pore structure. Academic Press, London, 1992.
23. H. Ene and E. Sanchez-Palencia. Equations et phénomènes de surface pour l'écoulement dans un modèle de milieu poreux. J. Méc., 14:73-108, 1975.
24. J.D. Eshelby. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc., A 241:376-396, 1957.
25. J.D. Eshelby. Elastic inclusions and inhomogeneities. In Progress in solid mechanics, Vol. 2, pages 87-140. North-Holland, Amsterdam, 1961.
26. F. Gilbert. Description thermo-mécanique de milieux à plusieurs constituants et application aux milieux poreux saturés. Thése de Doctorat d'Etat, Université Paris VI, 1987.
27. M. Gologanu and J.-B. Leblond. Recent extensions of Gurson's model for porous ductile metals. In P. Suquet, editor, Continuum micromechanics. Springer, Berlin, 1997.
28. A.L. Gurson. Continuum theory of ductile rupture by void nucleation and growth - Part I: yield criteria and flow rules for porous ductile media. ASME J. Eng. Mater. Technol., 99:2-15, 1977.
29. Z. Hashin. The elastic moduli of heterogeneous materials. J. Appl. Mech., 29:143-150, 1962.
30. Z. Hashin and S. Shtrikman.Avariational approach to the theory of elastic behavior of polycristals. J. Mech. Phys. Solids, 10:343-352, 1962.
31. Z. Hashin and S. Shtrikman. A variational approach to the theory of the elastic behavior of multiphase materials. J. Mech. Phys. Solids, 11:127-140, 1963.
32. R. Hill. The essential structure of constitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids, 15:79-95, 1967.
33. H. Horii and S. Nemat-Nasser. Overall modulii of solids with microcracks: load-induced anisotropy. J. Mech. Phys. Solids, 31:155-171, 1983.
34. D. Krajcinowic. Damage mechanics. North-Holland, Amsterdam, 1996.
35. W. Kreher. Residual stresses and stored elastic energy of composites and polycristals. J. Mech. Phys. Solids, 38:115-128, 1990.
36. N. Laws.Onthe thermostatics of composite materials. J. Mech. Phys. Solids, 21:9-17, 1973.
37. J.B. Leblond, G. Perrin, and P. Suquet. Exact results and approximate models for porous viscoplastic solids. Int. J. Plast., 10(3):213-235, 1994.
38. V.M. Levin. Thermal expansion coefficient of heterogeneous materials. Mekh. Tverd. Tela, 2:83-94, 1967.
39. A.E.H. Love. A treatise on the mathematical theory of elasticity. Dover, New York, 1944.
40. V.A. Lubarda and D. Krajcinovic. Damage tensors and the crack density distribution. Int. J. Solids Struct., 30(20):2859-2877, 1993.
41. J. Mandel. Plasticité classique et viscoplasticité. CISM Lecture Notes No. 97. Springer, Berlin, 1972.
42. T. Mura. Micromechanics of defects in solids, 2nd edition. Martinus Nijhoff Publ., 1987.
43. S. Murakami and K. Kamiya. Constitutive and damage evolution equations in elastic-brittle materials based on irreversible thermodynamics. Int. J. Mech. Sci., 39(4), 1997.
44. S. Nemat-Nasser and M. Horii. Micromechanics: overall properties of heterogeneous materials. North Holland, 1993.
45. P. Ponte-Castaneda and J.R. Willis. The effect of spatial distribution on the effective behavior of composite materials and cracked media. J. Mech. Phys. Solids, 43(12):1919-1951, 1995.
46. J. Salençon. Handbook of continuum mechanics: general concepts - thermoelasticity. Springer-Verlag, 2001.
47. P. Suquet. Homogenization techniques for composite media, Lecture Notes in Physics n. 272, chapter Elements of homogenization for inelastic solid mechanics, pages 193-278. Springer-Verlag, 1987.
48. P. Suquet. Effective behavior of non linear composites. In P. Suquet, editor, Continuum micromechanics. Springer, 1997.
49. M. Thompson and J.R. Willis. A reformulation of the equations of anisotropic poroelasticity. J. Appl. Mech., 58:612-616, 1991.
50. S. Torquato. Random heterogeneous materials: microstructure and macroscopic properties. Springer-Verlag, 2002.
51. L.J.Walpole. Elastic behavior of composite materials: theoretical foundations. Adv. Appl. Mech., 21:169-242, 1981.
52. J.R.Willis. Bounds and self-consistent estimates for the overall properties of anisotropic composites. J. Mech. Phys. Solids, 25:185-202, 1977.