Numerical modelling of dynamic consolidation on granular soils. (English) Zbl 1273.74273
Summary: The application of Pastor-Zienkiewicz constitutive model for sands to dynamic consolidation problems is presented in this paper. This model is implemented in a coupled code formulated in terms of displacements for both solid and fluid phases (\(u-w\) formulation), which is firstly compared with \(u-p_{w}\) formulation for some simple examples. Its range of validity, previously established for elastic problems and harmonic loading, is explored. Once the suitability of the \(u-w\) formulation has been ascertained for this kind of dynamic problems in soils, one- and two-dimensional (plane strain) dynamic consolidation numerical examples are provided, aiming to give some light into the physics of this ground improvement technique. A ’wave of dryness’, observed at the soil surface during the impact in field cases, is numerically reproduced and justified. Some hints on the influence of the loading zone size are also given.
MSC:
| 74L10 | Soil and rock mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
Keywords:
constitutive model for sands; soil improvement; impacts on soils; coupled formulations; Biot’s equationsReferences:
| [1] | Mechanics of Cohesive-frictional Materials 10825010 10991484 2000 5 8 |
| [2] | Chu, Three soil improvement methods and their applications to road construction, Ground Improvement 10 (3) pp 103– (2006) |
| [3] | Ménard, Theoretical and practical aspects of dynamic consolidation, Géotechnique 25 (1) pp 3– (1975) |
| [4] | Perucho, Dynamic consolidation of a saturated plastic clayey fill, Ground Improvement 10 (2) pp 55– (2006) |
| [5] | Bai, Consolidation characteristics and undrained strength of saturated soft clay under repeated impact loading, Geotechnical Testing Journal 29 (4) (2006) |
| [6] | Scott, Soil compaction by impact, Géotechnique 25 (1) pp 19– (1975) |
| [7] | Mayne, Impact stresses during dynamic compaction, Journal of Geotechnical Engineering 109 (10) pp 1342– (1983) |
| [8] | Chow, Dynamic compaction analysis, Journal of Geotechnical Engineering 118 (8) pp 1141– (1992) |
| [9] | Roesset, Impact weight falling onto the ground, Journal of Geotechnical Engineering 120 (8) pp 1394– (1994) |
| [10] | Poran, Design of dynamic compaction, Canadian Geotechnical Journal 29 pp 796– (1992) · doi:10.1139/t92-087 |
| [11] | Thilakasiri, Investigation of impact stresses induced in laboratory dynamic compaction on soft soils, International Journal for Numerical and Analytical Methods in Geomechanics 20 pp 753– (1996) |
| [12] | Gunaratne, Study of pore pressure induced in laboratory dynamic consolidation, Computers and Geotechnics 18 (2) pp 127– (1996) |
| [13] | Pan, Simulation of dynamic compaction of loose granular soils, Advances in Engineering Software 33 pp 631– (2002) |
| [14] | Gu, Ground response to dynamic compaction of dry sand, Géotechnique 52 (7) pp 481– (2002) |
| [15] | Lee, Method for estimating dynamic compaction effect on sand, Journal of Geotechnical and Geoenvironmental Engineering 139 (2) pp 139– (2004) |
| [16] | Diebels, Dynamic analysis of fully saturated porous medium accounting for geometrical and material non-linearities, International Journal for Numerical Methods in Engineering 39 pp 81– (1996) · Zbl 0842.76087 |
| [17] | Arduino, Numerical analysis of geomaterials within theory of porous media, Journal of Engineering Mechanics 127 (2) pp 167– (2001) |
| [18] | Li, Dynamics or porous media at finite strain, Computer Methods in Applied Mechanics and Engineering 193 pp 3837– (2004) |
| [19] | Chen, A time-discontinuous Galerkin method for the dynamic analysis of porous media, International Journal for Numerical and Analytical Methods in Geomechanics 30 pp 1113– (2006) |
| [20] | Valliappan, Analytical solution for two-dimensional dynamic consolidation in frequency domain, International Journal for Numerical and Analytical Methods in Geomechanics 19 pp 663– (1995) · Zbl 0833.73042 |
| [21] | Pastor, Generalized plasticity and the modelling of soil behaviour, International Journal for Numerical and Analytical Methods in Geomechanics 14 pp 151– (1990) · Zbl 0702.73052 |
| [22] | Biot, Theory of propagation of elastic waves in fluid-saturated porous solid. I, Journal of the Acoustical Society of America 28 pp 168– (1956) |
| [23] | Zienkiewicz, Computational Geomechanics with Special Reference to Earthquake Engineering (1999) · Zbl 0932.74003 |
| [24] | López-Querol, Liquefaction and cyclic mobility model for saturated granular media, International Journal for Numerical and Analytical Methods in Geomechanics 30 (5) pp 413– (2006) · Zbl 1140.74501 |
| [25] | Mira, A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems, Computer Methods in Applied Mechanics and Engineering 192 (37-38) pp 4257– (2003) · Zbl 1181.74138 |
| [26] | Gajo, Evaluation of three- and two-field finite element methods for the dynamic response of saturated soil, International Journal for Numerical Methods in Engineering 37 (7) pp 1231– (1994) · Zbl 0800.73477 |
| [27] | Fernández-Merodo, Modelling of diffuse failure mechanisms of catastrophic landslides, Computer Methods in Applied Mechanics and Engineering 193 pp 2911– (2004) |
| [28] | Zienkiewicz, Drained, undrained, consolidating and dynamic behaviour assumptions in soils, Géotechnique 30 (4) pp 385– (1980) |
| [29] | Wood, Soil Behaviour and Critical State Soil Mechanics (1990) · Zbl 0743.73023 |
| [30] | Coop, C. P. Wroth Memorial Symposium. Predictive Soil Mechanics pp 186– (1993) |
| [31] | Jovicic, Stiffness of coarse grained soils at small strains, Geotechnique 47 (3) pp 545– (1997) |
| [32] | Ishihara, Undrained deformation and liquefaction of sand under cyclic stresses, Soils and Foundations 15 (1) pp 29– (1975) · doi:10.3208/sandf1972.15.29 |
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