The material point method for unsaturated soils

The paper describes a three-phase single-point material point method formulation of coupled flow (water and air) for hydro-mechanical analysis of geotechnical problems involving unsaturated soils. ...

[1]  Pieter A. Vermeer,et al.  Solution of quasi‐static large‐strain problems by the material point method , 2010 .

[2]  D. Sulsky,et al.  Using the material‐point method to model sea ice dynamics , 2007 .

[3]  W. Shiu,et al.  A critical review of Henry’s law constants for chemicals of environmental interest , 1981 .

[4]  Howard L. Schreyer,et al.  Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems , 1996 .

[5]  Rebecca M. Brannon,et al.  Verification tests in solid mechanics , 2013, Engineering with Computers.

[6]  D. Sulsky,et al.  A particle method for history-dependent materials , 1993 .

[7]  Martin Berzins,et al.  Examination and Analysis of Implementation Choices within the Material Point Method (MPM) , 2008 .

[8]  Fracture Modeling of Crack Propagation in Wood and Wood Composites Including Crack Tip Processes and Fiber Bridging Mechanics , 2008 .

[9]  A. Fick V. On liquid diffusion , 1855 .

[10]  Pieter A. Vermeer,et al.  The modelling of anchors using the material point method , 2005 .

[11]  Kenichi Soga,et al.  Coupling of soil deformation and pore fluid flow using material point method , 2015 .

[12]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[13]  H. Rahardjo,et al.  EFFECT OF HYSTERESIS ON THE SHEAR STRENGTH OF A RESIDUAL SOIL , 1995 .

[14]  Alexander M. Puzrin,et al.  Geomechanics of Failures , 2010 .

[15]  D. Fredlund,et al.  The shear strength of unsaturated soils , 1978 .

[16]  Daniel Hillel,et al.  Soil and Water: Physical Principles and Processes , 2012 .

[17]  Sung-Kie Youn,et al.  A particle‐in‐cell solution to the silo discharging problem , 1999 .

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

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

[20]  Eduardo Alonso,et al.  Mathematical modelling of slopes , 2014 .

[21]  Lars Beuth,et al.  Formulation and application of a quasi-static material point method , 2012 .

[22]  Pieter A. Vermeer,et al.  Two‐phase dynamic analysis by material point method , 2013 .

[23]  V. Escario,et al.  The shear strength of partly saturated soils , 1986 .

[24]  Xiong Zhang,et al.  Contact algorithms for the material point method in impact and penetration simulation , 2011 .

[25]  Lars Vabbersgaard Andersen,et al.  Modelling of landslides with the material-point method , 2008 .

[26]  J. Graham,et al.  MECHANICAL BEHAVIOUR OF UNSATURATED SOILS: UNDERSTANDING THE BEHAVIOUR OF UNSATURATED SOILS REQUIRES RELIABLE CONCEPTUAL MODELS , 1995 .

[27]  S. Sloan,et al.  A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion , 1995 .

[28]  O. Zienkiewicz,et al.  Multiphase flow in deforming porous media and finite element solutions , 1992 .

[29]  Anna Giacomini,et al.  Caveats on the implementation of the generalized material point method , 2008 .

[30]  Bernhard A. Schrefler,et al.  Multiphase Flow in Deforming Porous Media: A Review , 2017 .

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

[32]  Eduardo Alonso,et al.  Progressive failure of Aznalcóllar dam using the material point method , 2011 .

[33]  Z. Więckowski The material point method in large strain engineering problems , 2004 .

[34]  David M. Potts,et al.  A critical assessment of methods of correcting for drift from the yield surface in elasto‐plastic finite element analysis , 1985 .

[35]  Issam K. J. al Kafaji Formulation of a dynamic material point method (MPM) for geomechanical problems , 2013 .

[36]  John A. Nairn,et al.  Hierarchical, adaptive, material point method for dynamic energy release rate calculations , 2002 .

[37]  N. E. Edlefsen,et al.  Thermodynamics of soil moisture , 1943 .

[38]  S. Bandara,et al.  Material point method to simulate large deformation problems in fluid-saturated granular medium , 2013 .

[39]  Kenichi Soga,et al.  Material Point Method for Coupled Hydromechanical Problems , 2014 .