Numerical modelling of dynamic consolidation on granular soils

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−pw 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. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  Fook Hou Lee,et al.  Ground response to dynamic compaction of dry sand , 2002 .

[2]  Chongbin Zhao,et al.  Analytical solution for two‐dimensional dynamic consolidation in frequency domain , 1995 .

[3]  Renato Vitaliani,et al.  Evaluation of three‐ and two‐field finite element methods for the dynamic response of saturated soil , 1994 .

[4]  Matthew Richard Coop,et al.  Stiffness of coarse-grained soils at small strains , 1997 .

[5]  P. Arduino,et al.  NUMERICAL ANALYSIS OF GEOMATERIALS WITHIN THEORY OF POROUS MEDIA , 2001 .

[6]  Manjriker Gunaratne,et al.  Study of pore pressures induced in laboratory dynamic consolidation , 1996 .

[7]  R. A. Scott,et al.  Soil compaction by impact , 1975 .

[8]  B. Bai Consolidation Characteristics and Undrained Strength of Saturated Soft Clay under Repeated Impact Loading , 2006 .

[9]  Richard A. Regueiro,et al.  Dynamics of porous media at finite strain , 2004 .

[10]  Fook Hou Lee,et al.  Method for Estimating Dynamic Compaction Effect on Sand , 2004 .

[11]  Susana López-Querol,et al.  Liquefaction and cyclic mobility model for saturated granular media , 2006 .

[12]  M. Biot Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[13]  A. R. Selby,et al.  Simulation of dynamic compaction of loose granular soils , 2002 .

[14]  M. I. Herreros,et al.  Modelling of diffuse failure mechanisms of catastrophic landslides , 2004 .

[15]  Tongchun Li,et al.  A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems , 2003 .

[16]  L. Ménard,et al.  Theoretical and practical aspect of dynamic consolidation , 1975 .

[17]  Holger Steeb,et al.  A time‐discontinuous Galerkin method for the dynamical analysis of porous media , 2006 .

[18]  F. Tatsuoka,et al.  Undrained Deformation and Liquefaction of Sand under Cyclic Stresses , 1975 .

[19]  O. C. Zienkiewicz,et al.  Generalized plasticity and the modelling of soil behaviour , 1990 .

[20]  Eduardo Kausel,et al.  Impact of Weight Falling onto the Ground , 1994 .

[21]  Chaim J. Poran,et al.  Design of dynamic compaction , 1992 .

[22]  C. Olalla,et al.  Dynamic consolidation of a saturated plastic clayey fill , 2006 .

[23]  O. C. Zienkiewicz,et al.  DRAINED, UNDRAINED, CONSOLIDATING AND DYNAMIC BEHAVIOUR ASSUMPTIONS IN SOILS , 1980 .

[24]  Manjriker Gunaratne,et al.  INVESTIGATION OF IMPACT STRESSES INDUCED IN LABORATORY DYNAMIC COMPACTION OF SOFT SOILS , 1996 .

[25]  Wolfgang Ehlers,et al.  Dynamic Analysis of a Fully Saturated Porous Medium Accounting for Geometrical and Material Non-Linearities , 1996 .

[26]  Jian Chu,et al.  Three soil improvement methods and their applications to road construction , 2006 .

[27]  Y. K. Chow,et al.  Dynamic Compaction Analysis , 1992 .

[28]  Paul W. Mayne,et al.  Impact Stresses During Dynamic Compaction , 1983 .