The generalized lamé problem - Part II: Applications in poromechanics

Journal of Applied Mechanics, Transactions ASME

Volumn 71, Issue 2, 2004, Pages 180-189

  Abousleiman, Younane N ^a   Kanj, Mazen Y ^b  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b SAUDI ARAMCO   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

GENERALIZED PLANE-STRAIN (GPS); GEOMECHANICS; STRESS DEVIATOR EFFECTS;

ANISOTROPY; BOREHOLES; DEFORMATION; ROCKS; STRAIN; STRESS ANALYSIS;

ELASTICITY;

EID: 12344255029     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1683800     Document Type: Article

References (19)

1. Adams, F. D., 1912, "An Experimental Contribution to the Question of the Depth of the Zone of Flow in the Earth's Crust," J. Geol., 20, pp. 97-118.
2. Cooling, L. F., and Smith, D. B., 1936, "The Shearing Resistance of Soils," J. of the Institution of the Civil Engineers, 3, pp. 333-343.
3. Ewy, R. T., and Cook, N. G. W., 1990, "Deformation and Fracture Around Cylindrical Openings in Rock - I. Observations and Analysis of Deformations," Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 27(5), pp. 387-407.
4. Sherwood, J. D., and Bailey, L., 1994, "Swelling of Shale Around a Cylindrical Wellbore," Proc. R. Soc. London, Ser. A, 444, pp. 161-184.
5. van den Hoek, P. J., Smit, D.-J., Kooijman, A. P., de Bree, Ph., Kenter, C. J., and Khodaverdian, M., 1994, "Size Dependency of Hollow-Cylinder Stability," Proceedings SPE/ISRM Rock Mechanics in Petroleum Engineering Conference, SPE# 28051, Delft, The Netherlands, Aug. 29-31, pp. 191-198.
6. Papamichos, E., and van den Hoek, P. J., 1995, "Size Dependency of Castlegate and Berea Sandstone Hollow-Cylinder Strength on the Basis of Bifurcation Theory," Proc. of the 35th US Symp. on Rock Mech., Daemen and Schultz, eds., Reno, NV, June 5-7, pp. 301-306.
7. Talesnick, M. L., Haimson, B. C., and Lee, M. Y., 1997, "Development of Radial Strains in Hollow Cylinders of Rock Subjected to Radial Compression," Int. J. Rock Mech. Min. Sci., 34(8), pp. 1229-1236.
8. Lee, D.-H., Juang, C. H., Chen, J.-W., Lin, H.-M., and Shieh, W.-H., 1999, "Stress Paths and Mechanical Behavior of a Sandstone in Hollow Cylinder Tests," Int. J. Rock Mech. Min. Sci., 36, pp. 857-870.
9. Papamichos, E., Skjærstein, A., and Tronvoll, J., 2000, "A Volumetric Sand Production Experiment," 4th North Amer. Rock Mech. Symp., Seattle, WA, July 31-Aug. 3, pp. 303-310.
10. Sugiyama, T., Bremner, T. W., and Holm, T. A., 1996, "Effect of Stress on Gas Permeability in Concrete," ACI Mater. J., 93(5), Sept.-Oct., pp. 443-450.
11. Subramaniam, K. V., Popovics, J. S., and Shah, S. P., 1998, "Testing Concrete in Torsion: Instability Analysis and Experiments." J. Eng. Mech., 124(11), pp. 1258-1268.
12. Taber, L. A., Yang, M., Keller, B. B., and Clark E. B., 1991, "Poroelastic Model for the Trabecular Embryonic Heart," Proc. Winter Annual Meeting of the ASME, Bioengineering Division. Dec. 1-6. Atlanta, GA, ASME, New York, pp. 623-626.
13. Lim, T.-H., and Hong, J. H., 2000, "Poroelastic Properties of Bovine Vertebral Trabecular Bone," J. Orthop. Res., 18(4), pp. 671-677.
14. Kanj, M. Y., and Abousleiman, Y., 2003, "The Generalized Lamé Problem: Part I - Coupled Poromechanical Solutions," ASME J. Appl. Mech., 71, pp. 168-179.
15. Lamé, G., 1852, "Leçons sur la Théorie Mathématique de l'Élasticité des Corps Solides," Gautheir-Villars, Paris.
16. Kanj, M. Y., and Abousleiman, Y., 2003, "Porothermomechanics of Anisotropic Hollow Cylinders in Oedometric-Like Setups," CD-Proceedings of the 16th ASCE Engineering Mechanics Conference, Seattle, WA, July 16-18.
17. Kanj, M., Abousleiman, Y., and Ghanem, R., 2003, "Anisotropic Poromechanics Solutions for the Hollow-Cylinder," J. Eng. Mech., 129(11). pp. 1277-1287.
18. Kanj, M., and Abousleiman, Y., 2003. "Porothermoelastic Analyses of Anisotropic Hollow Cylinders," Proceedings of the 39th U.S. Rock Mechanics Symposium (Soil Rock America 2003), Cambridge, MA, June 23-25, pp. 1211-1218.
19. Abousleiman, Y., and Kanj, M., 2002, "Generalized Lamé Solutions in Poromechanics," Proceedings, Second Biot Conference in Poromechanics, Grenoble, France, Aug. 26-28, A.A. Balkema, Rotterdam, pp. 79-84.