Abstract
The dynamic problem of the symmetric expansion of a cylindrical or spherical cavity in a granular medium is considered. The constitutive behaviour of the material is governed by a hypoplasticity relation for granular soils capable of describing both monotonic and cyclic deformation. The problem is solved numerically by a finite-difference technique. A nonreflecting boundary condition used at the outer boundary of the computational domain makes it possible to model a continuous multi-cycle loading on the cavity wall. The solution is illustrated by numerical examples. Possible geomechanical applications to the modelling of the vibratory compaction and penetration in granular soils are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H.S. Yu,Cavity Expansion Methods in Geomechanics. Dordrecht: Kluwer (2000) 404 pp.
A.S. Vesic, Expansion of cavities in infinite soil massASCE J. Soil Mech. Found. Div. 98 (1972) 265–290.
J.P. Carter, J.R. Booker and S.K. Yeung, Cavity expansion in cohesive frictional soils.Géotechnique 36 (1986) 349–358.
H.S. Yu and G.T. Houlsby, Finite cavity expansion in dilatant soils: loading analysis.Géotechnique 41 (1991) 173–183.
I. Collins, M. Pender and W. Yan, Cavity expansion in sands under drained loading conditions.Int. J. Num. Anal. Meth. Geomech. 16 (1992) 3–23.
D. Shuttle and M. Jefferies, Dimensionless and unbiased CPT interpretation in sand.Int. J. Num. Anal. Meth. Geomech. 22 (1998) 351–391.
V.A. Osinov and R. Cudmani, Theoretical investigation of the cavity expansion problem based on a hypoplasticity model.Int. J. Num. Anal. Meth. Geomech. 25 (2001) 473–495.
R.E. Brown, Vibroflotation compaction of cohesionless soils.ASCE J. Geotech. Eng. Div. 103 (1977) 1437–1451.
A. Niemunis and I. Herle, Hypoplastic model for cohesionless soils with elastic strain range.Mech. Cohesive-frictional Mater. 2(4) (1997) 279–299.
V.A. Osinov, Wave-induced liquefaction of a saturated sand layer.Cont. Mech. Thermodyn. 12 (2000) 325–339.
V.A. Osinov, A numerical model for the site response analysis and liquefaction of soil during earthquakes. In: O. Natau, E. Fecker and E. Pimentel (eds.),Geotechnical Measurements and Modelling. Lisse: Swets & Zeitlinger (2003) pp. 475–481.
V.A. Osinov and G. Gudehus. Dynamics of hypoplastic materials: theory and numerical implementation. In: K. Hutter and N. Kirchner (eds.),Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations. Berlin: Springer (2003) pp. 265–284.
J.M. Hill, Some symmetrical cavity problems for a hypoplastic granular material.Quart. J. Mech. Appl. Math. 53 (2000) 111–135.
G. Gudehus, A comprehensive constitutive equation for granular materials.Soils and Foundations 36 (1996) 1–12.
P.A. von Wolffersdorff, A hypoplastic relation for granular materials with a predefined limit state surface.Mech. Cohesive-frictional Mater. 1 (1996) 251–271.
E. Bauer and W. Wu, A hypoplastic model for granular soils under cyclic loading. In: D. Kolymbas (ed.),Modern Approaches to Plasticity. Amsterdam: Elsevier (1993) pp. 247–258.
A. Niemunis, Hypoplasticity vs. elastoplasticity, selected topics. In: D. Kolymbas (ed.),Modem Approaches to Plasticity. Amsterdam: Elsevier (1993) pp. 277–307.
W. Fellin,Rütteldruckverdichtung als plastodynamisches Problem. Rotterdam: Balkema (2000) 94 pp.
R. Cudmani and V.A. Osinov, The cavity expansion problem for the interpretation of cone penetration and pressuremeter tests.Canadian Geot. J. 38 (2001) 622–638.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Osinov, V.A. Large-strain dynamic cavity expansion in a granular material. J Eng Math 52, 185–198 (2005). https://doi.org/10.1007/BF02694037
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02694037