Modelling of fall-cone tests with strain-rate effects

© 2017 The Authors. Published by Elsevier Ltd.Material Point Method (MPM) is a numerical method, which is well suited for large displacement simulations. Large displacements problems are relatively common in geotechnics, including post-failure behaviour of landslides as well as a wide range of problems involving penetration into the soil body. One of those problems is the fall-cone test, commonly used to establish the undrained shear strength and the sensitivity of saturated fine grained soils. This paper shows a Generalized Interpolation Material Point Method (GIMP) simulation replicating published free-fall cone experiment performed on a kaolin clay. In the fall-cone tests, the penetration characteristics of the cone, such as velocity and total penetration depth depend on the soil properties. Those properties are affected greatly by the strain-rate which must be accounted for in a numerical simulation. Hence, the simulations shown uses a Mohr-Coulomb / Tresca material extended with strain-rate effects. The presentednumerical simulations are compared with the published fall-cone experiment in whichdisplacement and force were measured. The comparison indicates that Generalized Interpolation Material Point Method and Mohr-Coulomb / Tresca model extended with strain-rate effects areableto replicate the fall-cone penetration test very well.

[1]  James Guilkey,et al.  An evaluation of explicit time integration schemes for use with the generalized interpolation material point method , 2008, J. Comput. Phys..

[2]  I. E. Ina,et al.  Effect of strain rate on mobilised strength and thickness of curved shear bands , 2006 .

[3]  Alexander Rohe,et al.  Numerical investigation of pile installation effects in sand using material point method , 2016 .

[4]  A. Sadeghirad,et al.  A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations , 2011 .

[5]  M. Randolph,et al.  Strength of fine-grained soils at the solid-fluid transition , 2012 .

[6]  M. Randolph,et al.  Effect of strain rate on mobilised strength and thickness of curved shear bands , 2006 .

[7]  D. Sulsky Erratum: Application of a particle-in-cell method to solid mechanics , 1995 .

[8]  Majidreza Nazem,et al.  Dynamic analysis of a smooth penetrometer free-falling into uniform clay , 2012 .

[9]  Wojciech Tomasz Sołowski,et al.  Evaluation of material point method for use in geotechnics , 2015 .

[10]  Guy T. Houlsby,et al.  Theory and practice of the fall cone test , 2001 .

[11]  Serge Leroueil,et al.  Applicability of power law for describing the rheology of soils of different origins and characteristics. , 2009 .

[12]  J. Brackbill,et al.  The material-point method for granular materials , 2000 .

[13]  James E. Guilkey,et al.  Axisymmetric form of the generalized interpolation material point method , 2015 .

[14]  Mark Randolph,et al.  Numerical analysis of penetrometers free-falling into soil with shear strength increasing linearly with depth , 2016 .

[15]  C. M. Martin Numerical and experimental studies of shallow cone penetration in clay , 2008 .

[16]  Rebecca M. Brannon,et al.  Second‐order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces , 2013 .

[17]  S. Bardenhagen,et al.  The Generalized Interpolation Material Point Method , 2004 .

[18]  Pieter A. Vermeer,et al.  Two-phase Material Point Method applied to the study of cone penetration , 2016 .