An Experimental Study on the Influences of Particle Size on Small-Strain Shear Modulus of Granular Soils

Document Type : پژوهشی


Razi University of Kermanshah


Under small strains, the shear-wave velocity (Vs) and its resultant maximum shear modulus (Gmax) are important parameters in geotechnical engineering soil dynamics analyses. In this regard, the evaluation of the influences of soil particle size on the dynamic behavior of soils during wave propagation has been an important issue in geotechnical engineering. According to the relevant literature, the influences of grain size on shear wave velocity of soil were completely different in various research studies. This research aims to experimentally examine the effects of a wider range of particle sizes, on maximum shear modulus in dry sandy soils, using a bender element apparatus embedded in a triaxial cell. The results indicated that maximum shear modulus of sand was considerably affected by changes in grain size so that in a particular range of grain size, shear modulus increased as the diameter of soil grains rose, while, in the other range, maximum shear modulus diminished with increasing grain diameter.


1. Kramer, S. L., "Geotechnical Earthquake Engineering", Prentice Hall, Upper Saddle River, New York, (1996).
2. Atkinson, J. H., & Sallfors, G., "Experimental Determination of Soil Properties", Proc. 10th ECSMFE, Folrance, Vol. 3, pp. 915-956, (1991).
3. Hardin, B. O., & Richart, F. E., "Elastic Wave Velocities in Granular Soils", J. Soil Mech. Found. Engng Div., Vol. 89, No.SM1, pp. 39–56, (1963).
4. Iwasaki, T., & Tatsuoka, F., "Effect of Grain Size and Grading on Dynamic Shear Moduli of Sand", Soil and foundations, Vol. 17, No. 3, (1977).
5. Delia, B., & Lanzo., G., "Laboratory and Field Determinations of Small-Strain Shear Modulus of Natural Soil Deposits", Eleventh World Conference on Earthquake Engineering, (1996).
6. Lin, S-Y., Lin, S. P., Luo, H. S., & Juang, C. H.," Shear Modulus and Damping Ratio Characteristics of Gravelly Deposits", Canadian Geotechnical Journal, Vol. 37, No. 3, pp. 638–651, (2000).
7. Menq. F. Y., & Stokoe. K. H., "Linear Dynamic Properties of Sandy and Gravelly Soils from Large-Scale Resonant Tests". Di Benedetto et al., editor, Deformation Characteristics of Geomaterials, pp. 63–71, (2003).
8. Sharifipour, M. & Dano, C., "Effect of Grains Roughness on Waves Velocities in Granular Packings", First Euro Mediterranean in Advances on Geomaterials and Structures – Hammamet 3-5 May Tunisia, (2006).
9. Sahaphol, T., & Miura, S., "Shear Moduli of Volcanic Soils", Soil Dynamics and Earthquake Engineering, Vol. 25, pp. 157–165, (2004).
10. Hardin, B. O., & Kalinski, M. E., "Estimating the Shear Modulus of Gravelly Soils", Journal of Geotechnical and. Geoenvironmental Engineering, Vol. 131, pp. 867-875, (2005).
11. Kwon, T. H., & Cho, G. C., "Smart Geophysical Characterization of Particulate Materials in a Laboratory", Smart Structures and Systems, Vol. 1, No. 2, pp. 217-233, (2005).
12. Bartake, P. P., & Singh, D. N., "Studies on the Determination of Shear Wave Velocity in Sands", Geomechanics and Geoengineering, Vol. 2, No. 1, pp. 41–49, (2007).
13. Patel, A., Bartake, P. P., & Singh, D. N., "An Empirical Relationship for Determining Shear Wave Velocity in Granular Materials Accounting for Grain Morphology" Geotechnical Testing Journal, Vol. 32, No. 1, pp. 1–10, (2008).
14. WicaksonoI, R. I., Tsutsum, Y., Takeshi, S., Koseki, J., & Reiko, K., "Laboratory Wave Measurements on Toyoura Sand and Hime Gravel", Bulletin of ERS, No. 41, (2008).
15. Wichtmann, T., & Triantafyllidis, T., "Influence of the Grain-Size Distribution Curve of Quartz Sand on the Small Strain Shear Modulus Gmax", Journal of Geotechnical and Geoenvironmental Engineering, Vol. 135, No. 10, pp. 1404-1418, (2009).
16. Yang, J., & GU, X., "Shear Stiffness of Granular Material at Small Strains: does it depend on grain size? ", Geotechnique, Vol. 63, No. 2, pp. 165–179, (2013).
17. Gu, X., Yang, J., & Huang, M., "Laboratory Measurements of Small Strain Properties of Dry Sands by Bender Element", Soils and Foundations, Vol. 53, No.5, pp. 735–745, (2013).
18. Kang, X., Bate, B., & Ge, L., "Characterization of Shear Wave Velocity and Its Anisotropy in Uniform Granular Materials", Geo-Congress 2014 Technical Papers, GSP 234 © ASCE, pp. 2029-2041, (2014).
19. Liu, X, & Yang, J., "Shear Wave Velocity and Shear Modulus of Silty Sand", Japanese Geotechnical Society Special Publication, pp. 907-910, (2014).
20. Choo, H., & Burns, S. E., "Effect of Overconsolidation Ratio on Dynamic Properties of Binary Mixtures of Silica Particles", Soil Dynamic sand earthquake engineering Vol. 60, pp. 44-50, (2014).
21. Senetakis, K., & Madhusudhan, B. N., "Dynamics of Ppotential Fill–Backfill Material at Very Small Strains" Soils and Foundations, Vol. 55, No. 5, pp. 1196–1210, (2015).
22. Pradhan, A., & Yu, X., "Bender Element Testing and Discrete Element Modeling of Shear Wave in Granular Media", IFCEE 2015, San Antonio, Texas, the University of Texas, pp. 1993-2002, (2015).
23. Payan, M., Khoshghalb, A., Senetakis, K., & Khalili, N., "Effect of Particle Shape and Validity of Gmax Models for Sand: A critical review and a new expression", Computers and Geotechnics, Vol. 72, pp. 28–41, (2016).
24. Ladd, R., "Preparing Test Specimens Using Undercompaction", Geotechnical Testing Journal, Vol. 1, No. 1, pp. 16-23, (1978).