Anisotropic elastic moduli of granular assemblies from micromechanical approach

Journal of Engineering Mechanics

Volumn 123, Issue 12, 1997, Pages 1289-1293

  Emeriault, Fabrice ^a   Chang, Ching S ^b  

^a UNIVERSITÉ DE LYON   (France)

^b University of Massachusetts   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC MODULUS; GRANULAR MEDIUM; MICROMECHANICS; SOIL MECHANICS;

EID: 0031438096     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1997)123:12(1289)     Document Type: Article

References (23)

1. Agarwal, T. K., and Ishibashi, I. (1992). "Anisotropic elastic constants of granular assembly from wave velocity measurements." Advances in micromechanics of granular materials, H. H. Shen, et al., eds., Elsevier, Amsterdam, The Netherlands, 51-60.
2. Brown, S. F., and Pappin, J. W. (1981). "Analysis of pavement with granular bases, layered pavement system." Transp. Res. Record 810, Transp. Res. Board, Nat. Res. Council, Washington, D.C., 17-23.
3. Cambou, B., Dubujet, P., Emeriault, F., and Sidoroff, F. (1995). "Homogenization for granular materials." Eur. J. Mech. A/Solids, Gauthier-Villars, 14(2), 255-276.
4. Chang, C. S., Chang, Y., and Kabir, M. G. (1992). "Micromechanics modeling for stress-strain behavior of granular soils: II Evaluation." J. Geotech. Engrg., ASCE, 118(12), 1975-1993.
5. Chang, C. S., and Liao, C. L. (1994). "Estimates of elastic modulus for media of randomly packed granules, Part 2." Appl. Mech. Rev., 47(1), 197-206.
6. Chang, C. S., Sundaram, S. S., and Misra, A. (1989). "Initial moduli of particulated mass with frictional contacts." Int. J. Numer. Anal. Meth. Geomech., 13(6), 629-644.
7. Chung, R. M., Yokel, F. Y., and Drnevich, V. P. (1984). "Evaluation of dynamic properties of sands by resonant column testing." Geotech. Testing J., 7(2), 60-69.
8. Duffy, J., and Mindlin, R. D. (1957). "Stress-strain relations and vibrations of granular media." J. Appl. Mech., 24(4), 585-593.
9. Emeriault, F., and Chang, C. S. (1997). "Interparticle forces and displacements in granular materials." Computer and Geotechnics, 20(3/4).
10. Hardin, B. O. (1978). "The nature of stress-strain behavior of soils." Proc., Earthquake Engrg. and Soil Dynamics Conf., ASCE, New York, N.Y., Vol. I, 3-90.
11. Hardin, B. O., and Black, W. L. (1966). "Sand stiffness under various triaxial stresses." J. Soil Mech. and Found. Engrg., ASCE, 92(1), 27-42.
12. Hardin, B. O., and Drnevich, V. P. (1972). "Shear modulus and damping in soils: measurements and parameter effects." J. Soil Mech. and Found. Engrg., ASCE, 92(2), 603-624.
13. Hardin, B. O., and Richart, F. E. (1963). "Elastic wave velocities in granular soils." J. Soil Mech. and Found. Engrg., ASCE, 89(1), 33-65.
14. Hicks, R. G., and Monismith, C. L. (1971). "Factors influencing the resilient response of granular materials." Hwy. Res. Record 345, Hwy. Res. Board, Nat. Res. Council, Washington, D.C.
15. Iwasaki, T., and Tatsuoka, F. (1977). "Effects of grain size and grading on dynamic shear moduli of soils." Soils and Found., 17(1), 19-35.
16. Jenkins, J. T. (1991). "Anisotropic elasticity for random arrays of identical spheres." Modern theory of anisotropic elasticity and applications, J. Wu, ed., Society of Industrial and Appl. Mathematics, Philadelphia, Pa.
17. Kopperman, S. E., Stokoe, K. H., and Knox, D. P. (1982). "Effect of state of stress on velocity of low amplitude compression waves propagating along principal stress directions in dry sand." Geotech. Engrg. Rep. GR82-22, University of Texas, Austin.
18. Lade, P. V., and Nelson, R. B. (1987). "Modelling the elastic behavior of granular materials." Int. J. Numer. Anal. Meth. Geomech., 11(5), 521-542.
19. Ng, T. T., and Petrakis, E. (1996). "Small-strain response of random arrays of spheres using discrete element method." J. Engrg. Mech., ASCE, 122(3), 239-244.
20. Rothenburg, L., and Bathurst, R. J. (1989). "Analytical study of induced anisotropy in idealized granular materials." Géotechnique, London, England, 39(4), 601-614.
21. Santha, B. L. (1994). "Resilient modulus of subgrade soils: Comparison of two constitutive equations." Transp. Res. Record 1462, Transp. Res. Board, Nat. Res. Council, Washington, D.C., 79-90.
22. Walton, K. (1987). "The effective elastic moduli of a random packing of spheres." J. Mech. Phys. Solids, 35(2), 213-226.
23. Yanagisawa, E. (1983). "Influence of void ratio and stress condition on the dynamic shear modulus of granular media." Advances in the Mechanics and the Flow of Granular Materials, Vol. 2, Elsevier Science Publishing, New York, N.Y., 947-960.