Three-dimensional RITSS large displacement finite element method for penetration of foundations into soil

Abstract The Remeshing and Interpolation Technique with Small Strain (RITSS) approach has been developed to deal with 3-D geotechnical problems in this paper. Unstructured 20-node hexahedral element is found to work well for predicting collapse loads accurately for 3-D undrained geotechnical problems involving material incompressibility. Remeshing is automatically accomplished by ANSYS program. With remeshing and interpolation, small fluctuations appear in the load–deformation results. In order to minimize these fluctuations, different increment sizes and remeshing frequencies are explored. Meanwhile, various 3-D interpolation methods are compared, and the unique element division method is found to work best. The results of two numerical applications are presented for a 3-D strip footing penetrating deeply into uniform clay and a square foundation into normally consolidated clay. The computed bearing capacity responses are compared with other numerical or conventional results. The results show that the present method is accurate and efficient for 3-D large displacement foundation penetration problems.

[1]  D. Benson An efficient, accurate, simple ALE method for nonlinear finite element programs , 1989 .

[2]  David R. Owen,et al.  On adaptive strategies for large deformations of elasto-plastic solids at finite strains : computational issues and industrial applications , 1999 .

[3]  David R. Owen,et al.  Transfer operators for evolving meshes in small strain elasto-placticity , 1996 .

[4]  Ted Belytschko,et al.  An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials , 1986 .

[5]  Guy T. Houlsby,et al.  Calculation of Stresses on Shallow Penetrometers and Footings , 1984 .

[6]  Mohamed S. Gadala,et al.  ALE formulation and its application in solid mechanics , 1998 .

[7]  N. Kikuchi,et al.  An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids , 1991 .

[8]  Jun Liu,et al.  Deep Penetration of Spudcan Foundation into Double Layered Soils , 2005 .

[9]  John P. Carter,et al.  Deep Penetration of Strip and Circular Footings into Layered Clays , 2001 .

[10]  Rodrigo Salgado,et al.  Two- and three-dimensional bearing capacity of foundations in clay , 2004 .

[11]  Susan Gourvenec,et al.  Effect of strength non-homogeneity on the shape of failure envelopes for combined loading of strip and circular foundations on clay , 2003 .

[12]  D. Sheng,et al.  Stress integration and mesh refinement for large deformation in geomechanics , 2006 .

[13]  M. Randolph,et al.  A practical numerical approach for large deformation problems in soil , 1998 .

[14]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[15]  Somnath Ghosh,et al.  Arbitrary Lagrangian-Eulerian finite element analysis of large deformation in contacting bodies , 1992 .

[16]  J. Brinch Hansen AKADEMIET FOR DE TEKNISKE VIDENSKABER , 2008 .

[17]  M. Randolph,et al.  NUMERICAL PREDICTION OF COLLAPSE LOADS USING FINITE ELEMENT METHODS , 1982 .

[18]  Alec Westley Skempton,et al.  The bearing capacity of clays , 1951 .

[19]  H. G. Hopkins,et al.  Axially symmetric plastic deformations in soils , 1961, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[20]  Mohamed S. Gadala,et al.  On the mesh motion for ALE modeling of metal forming processes , 2002 .

[21]  M F Randolph,et al.  A numerical study of cone penetration in clay , 2004 .

[22]  L. Prandtl,et al.  Hauptaufsätze: Über die Eindringungsfestigkeit (Härte) plastischer Baustoffe und die Festigkeit von Schneiden , 1921 .

[23]  Yue Hu,et al.  Bearing response of skirted foundation on nonhomogeneous soil , 1999 .

[24]  Mark Randolph,et al.  Limiting cavity depth for spudcan foundations penetrating clay , 2005 .

[25]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[26]  M. Randolph,et al.  DEEP PENETRATION OF SHALLOW FOUNDATIONS ON NON-HOMOGENEOUS SOIL , 1998 .

[27]  Mark Randolph,et al.  H-ADAPTIVE FE ANALYSIS OF ELASTO-PLASTIC NON-HOMOGENEOUS SOIL WITH LARGE DEFORMATION , 1998 .

[28]  G. G. Meyerhof The Ultimate Bearing Capacity of Foudations , 1951 .

[29]  Ted Belytschko,et al.  Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua , 1988 .

[30]  Paulo A.F. Martins,et al.  Finite element remeshing in metal forming using hexahedral elements , 2003 .

[31]  Somnath Ghosh,et al.  Finite element simulation of some extrusion processes using the arbitrary Lagrangian-Eulerian description , 1990 .

[32]  L. Herrmann Finite Element Analysis of Contact Problems , 1978 .

[33]  John P. Carter,et al.  Uplift capacity of rapidly loaded strip anchors in uniform strength clay , 2004 .