Cavity Expansion in Soil of Finite Radial Extent

Abstract:

The problem of drained cavity expansion in a soil of finite radial extent is investigated. Spherical cavities expanded from zero radius subjected to a constant stress condition at the finite boundary are considered. The new analytical solution procedure presented enables more advanced constitutive models to be implemented than possible than when using other solution procedures. Cavity expansion results generated for a Sydney quartz sand highlight substantial differences between cavity limit pressures for boundaries of finite and infinite radial extent.

• Periodical: Applied Mechanics and Materials (Volume 553)
• Pages: 464-469
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.553.464
• Online since: May 2014
• Authors: Mohammad Pournaghiazar*, Adrian R. Russell, Nasser Khalili
• Keywords: Analytical Solution, Cavity Expansion, Finite Boundary

References

[1] Bishop, R.F., Hill, R. and Mott, N.F., The theory of indentation and hardness tests. Proc. Phys. Soc., London 1945; 57(3): 147-159.

DOI: 10.1088/0959-5309/57/3/301

[2] Chadwick, P., The quasi-static expansion of a spherical cavity in metals and ideal soils. Quart. J. Mech. App. Math. 1959; 12: 57-71.

DOI: 10.1093/qjmam/12.1.52

[3] Durban, D. and Baruch, M., On the problem of a spherical cavity in an infinite elasto-plastic medium. J. App. Mech. ASME 1976; 43(4): 633-638.

DOI: 10.1115/1.3423946

[4] Carter, J.P., Booker, J.R. and Yeung, S.K., Cavity expansion in cohesive frictional soils. Geotechnique 1986; 36(3): 349-358.

DOI: 10.1680/geot.1986.36.3.349

[5] Yu, H.S. and Houlsby, G.T., Finite cavity expansion in dilatent soils: loading analysis. Geotechnique 1991; 41(2): 173-183.

DOI: 10.1680/geot.1991.41.2.173

[6] Cao, L. F, Teh, C. I and Chang, M.F., Analysis of undrained cavity expansion in elasto-plastic soils with non-linear elasticity. Int. J. Num. Anal. Meth. Geomech. 2002; 26: 25-52.

DOI: 10.1002/nag.189

[7] Carter, J. P, Yeung and SK., Analysis of cylindrical cavity expansion in a strain weakening material. Comp. Geotech. 1985; 1: 161-180.

DOI: 10.1016/0266-352x(85)90021-7

[8] Salgado, R. and Randolph, M.F., Analysis of cavity expansion in sand. Int. J. Geomech. 2001; 1(2): 175-192.

DOI: 10.1061/(asce)1532-3641(2001)1:2(175)

[9] Collins, I.F. and Stimpson, J.R., Similarity solutions for drained and undrained cavity expansions in soils. Geotechnique 1994; 44(1): 21-34.

DOI: 10.1680/geot.1994.44.1.21

[10] Russell, AR and Khalili, N., On the problem of cavity expansion in unsaturated soils. Comp. Mech. 2006; 37(4): 311-330.

[11] Russell, A.R. and Khalili, N., Drained cavity expansion in sands exhibiting particle crushing. Int. J. Num. Anal. Meth. Geomech. 2002; 26: 323–340.

DOI: 10.1002/nag.203

[12] Yu, H.S., Finite elastoplastic deformation of an internally pressurized hollow sphere. Acta Mechanica Solida Sinica 1993; 6(1): 81-97.

[13] Salgado, R., Analysis of penetration resistance in sands. PhD thesis, University of California, Berkeley, Calif., USA (1993).

[14] Pournaghiazar, M., Russell, A.R. and Khalili, N. Drained cavity expansions in soils of finite radial extent subjected to two boundary conditions. Int. J. Num. Anal. Meth. Geomech. 2013; 37(4): 331-352.

DOI: 10.1002/nag.1099

[15] Russell A.R. and Khalili, N., A bounding surface plasticity model for sands exhibiting particle crushing. Can. Geot. J. 2004; 41(6): 1179-1192.

DOI: 10.1139/t04-065

[16] Been K., Jefferies, M.G., A state parameter for sands. Geotechnique 1985; 35(2): 99-112.