Some computational aspects for solving deep penetration problems in geomechanics

Computational Mechanics

Volumn 44, Issue 4, 2009, Pages 549-561

  Sheng, Daichao ^a   Nazem, Majidreza ^a   Carter, John P ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

ALE method; Frictional contact; Mesh distortion; Mesh motion; Penetration problems

Indexed keywords

FRICTION; GEOMECHANICS; MESH GENERATION;

ALE METHODS; FRICTIONAL CONTACT; MESH DISTORTION; MESH MOTION; PENETRATION PROBLEMS;

PROBLEM SOLVING;

EID: 67650254263     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0391-6     Document Type: Article

References (34)

1. AJ Abbo SW Sloan 1996 An automatic load stepping algorithm with error control Int J Numer Methods Eng 39 1737 1759 (Pubitemid 126647999)
2. DJ Benson 1989 An efficient, accurate and simple ALE method for nonlinear finite element programs Comp Methods Appl Mech Eng 72 305 350
3. T Belytschko JM Kennedy 1978 Computer models for subassembly simulation Nucl Eng Des 49 17 38
4. KA Fischer P Wriggers 2006 Motar based frictional contact formulation for higher order interpolation using the moving friction cone Comp Methods Appl Mech Eng 195 37-40 5020 5036 (Pubitemid 43842594)
5. KA Fischer D Sheng AJ Abbo 2007 Modeling of pile installation using contact mechanics and quadratic elements Comp Geotech 34 6 449 461 (Pubitemid 350154410)
6. MS Gadala J Wang 1998 ALE formulation and its application in solid mechanics Comp Methods Appl Mech Eng 167 33 55
7. S Ghosh N Kikuchi 1991 An arbitrary Lagrangian-Eulerian finite element method for large deformation analysis of elastic-viscoplastic solids Comp Methods Appl Mech Eng 86 127 188 (Pubitemid 21652771)
8. Y Hu MF Randolph 1998 A practical numerical approach for large deformation problems in soils Int J Numer Anal Methods Geomech 22 327 350 (Pubitemid 28424188)
9. W Huang D Sheng SW Sloan HS Yu 2004 Finite element analysis of cone penetration in cohesionless soil Comp Geotech 31 517 528 (Pubitemid 40077477)
10. TJR Hughes WK Liu TK Zimmermann 1981 Lagrangian-Eulerian finite element formulation for incompressible viscous flow Comp Methods Appl Mech Eng 58 19 36
11. Laursen TA (2002) Computational contact and impact mechanics. Springer, Berlin
12. WK Liu T Belytschko H Chang 1986 An arbitrary Lagrangian-Eulerian finite element method for path-dependant materials Comp Methods Appl Mech Eng 58 227 245 (Pubitemid 17465544)
13. DS Liyanapathirana AJ Deeks MF Randolph 2000 Numerical modelling of large deformations associated with driving of open-ended piles Int J Numer Anal Meth Geomech 24 1079 1101
14. Lopez RJ (2001) Advanced engineering mathematics. Addison Wesley, New York
15. Nazem M (2006) Numerical algorithms for large deformation problems in geomechanics. Ph.D. thesis, School of Engineering, The University of Newcastle, Australia
16. M Nazem D Sheng JP Carter 2006 Stress integration and meshing refinement for large deformation in geomechanics Int J Numer Methods Eng 65 1002 1027 (Pubitemid 43224529)
17. D Peric C Hochard M Dutko DRJ Owen 1996 Transfer operators for solving meshes in small strain elasto-plasticity Comp Methods Appl Mech Eng 137 331 344 (Pubitemid 126394820)
18. D Peric M Vaz Jr DRJ Owen 1999 On adaptive strategies for large deformations of elasto-plastic solids at finite strains: computational issues and industrial applications Comp Methods Appl Mech Eng 176 279 312
19. Potts DM, Zdravkovic L (2001) Finite element analysis in geotechnical engineering, vol 1, theory. Thomas Telford, London
20. Sheng D, Axelsson K, Magnusson O (1997) Stress and strain fields around a penetrating cone. In: Pietruszczak S, Pande GN (eds) Numerical models in geomechanics. Balkema, Rotterdam, pp 653-660
21. D Sheng KD Eigenbrod P Wriggers 2005 Finite element analysis of pile installation using large-slip frictional contact Comp Geotech 32 1 17 26 (Pubitemid 40177500)
22. D Sheng SW Sloan HS Yu 2000 Aspects of finite element implementation of critical state models Comput Mech 26 185 196 (Pubitemid 30958845)
23. D Sheng SW Sloan 2001 Load stepping methods for critical state models Int J Numer Methods Eng 50 67 93
24. D Sheng P Wriggers SW Sloan 2006 Improved numerical algorithms for friction contact in pile penetration analysis Comp Geotech 33 341 354 (Pubitemid 44698397)
25. Sheng D (2007) Frictional contact for pile installation. In: Wriggers P, Nackenhorst U (eds) IUTAM symposium on computational methods in contact mechanics. Springer, Heidelberg, pp 239-256
26. JC Simo G Meschke 1993 A new class of algorithms for classical plasticity extended to finite strains Appl Geomater Computat Mech 11 253 278
27. SW Sloan MF Randolph 1984 Numerical prediction of collapse loads using finite element methods Int J Numer Anal Methods Geomechan 6 47 76
28. E Susila RD Hryciw 2003 Large displacement FEM modelling of the cone penetration test (CPT) in normally consolidated sand Int J Numer Anal Methods Geomech 27 585 602 (Pubitemid 36803795)
29. Van den Berg P (1994) Analysis of soil penetration. Ph.D. thesis, Technische Universiteit Delft
30. CX Wang JP Carter 2002 Deep penetration of strip and circular footings into layered clays Int J Geomech 2 2 205 232
31. Wriggers P (2002) Computational contact mechanics. Wiley, Chichester
32. T Yamada F Kikuchi 1993 An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity Comp Methods Appl Mech Eng 102 149 177 (Pubitemid 23608932)
33. Yu HS (2004) Cavity expansion methods in geomechanics. Kluwer, Dordrecht
34. H Zhou MF Randolph 2007 Computational techniques and shear band development for cylindrical and spherical penetrometers in strain-softening clay Int J Geomech ASCE 7 4 287 295 (Pubitemid 47098046)