Modeling of pile installation using contact mechanics and quadratic elements

Computers and Geotechnics

Volumn 34, Issue 6, 2007, Pages 449-461

  Fischer, Kathrin A ^a   Sheng, Daichao ^a   Abbo, Andrew J ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Cam clay; Contact mechanics; Finite elements; Large deformations; Mortar elements; Pile installation

Indexed keywords

COMPUTATIONAL GEOMETRY; DEFORMATION; INSTALLATION; MATHEMATICAL MODELS; SOILS; STRESSES;

CONTACT MECHANICS; MORTAR-TYPE DISCRETISATION; PILE INSTALLATION;

PILES;

CAM-CLAY MODEL; DEFORMATION; FAILURE ANALYSIS; FINITE ELEMENT METHOD; GEOMETRY; GEOTECHNICAL ENGINEERING; INSTALLATION; NUMERICAL MODEL; PILE; STRESS CHANGE;

EID: 36348960668     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2007.01.003     Document Type: Article

References (22)

1. Bernardi C., and Patera A. Domain decomposition by the mortar element method. Asymptotic and numerical methods for partial differential equations with critical parameters (1993), Kluwer Academic Publishers, Netherlands p. 269-86
2. Curnier A. A theory of friction. Int J Solids Struct 20 (1984) 637-647
3. Fischer KA. Mortar type methods applied to nonlinear contact mechanics. Ph.D. thesis. Institut für Baumechanik und numerische Mechanik. Germany: Universität Hannover; 2005.
4. Fischer KA, Sheng D. Different aspects on large deformation contact formulations applied to pile-soil FE-analysis. In: Schweiger H, editor. Numerical methods in geotechnical engineering; Taylor & Francis Group, London. Sixth European conference on numerical methods in geotechnical engineering (NUMGE6), Graz, Austria, 2006. p. 613-18.
5. Fischer K.A., and Wriggers P. Frictionless 2D contact formulations for finite deformations based on the mortar method. Comput Mech 36 (2005) 226-244
6. Fischer K.A., and Wriggers P. Mortar based frictional contact formulation for higher order interpolations using the moving friction cone. Comput Methods Appl Mech Engng 37-40 195 (2006) 5020-5036
7. Hallquist J. Nike II: an implicit, finite deformation, finite element code for the analysing the static and dynamic response of two-dimensional solids. Report UCRL 52678. UC-Lawrence Livermore National Laboratory; 1979.
8. Hill R. The mathematical theory of plasticity (1950), Clarendon Press, Oxford
9. Kikuchi N., and Oden J.T. Contact problems in elasticity (1988), SIAM, Philadelphia
10. Laursen T.A. Computational contact and impactmechanics (2002), Springer Verlag, Berlin, Heidelberg
11. Lubliner J. Plasticity theory (1990), Macillan, London
12. Luenberger D.G. Linear and nonlinear programming (1984), Addison-Wesley, Reading
13. Prager W. Einführung in die Kontinuumsmechanik (1961), Birkäuser, Basel, Stuttgart
14. Puso M.A., and Laursen T.A. Mesh tying on curved interfaces in 3D. Eng Comput 20 3 (2003) 305-319
15. Sheng D., Eigenbrod P., and Wriggers P. Finite element analysis of pile installation using large slip frictional contact. Comput Geotech 32 (2005) 17-26
16. Sheng D., Wriggers P., and Sloan S.W. Numerical algorithms for frictional contact in pile penetration analysis. Comput Geotech 33 6-7 (2006) 341-354
17. Simo J.C., and Meschke G. A new class of algorithms for classical plasticity extended to finite strains: Application to geomaterials. Comput Mech 11 4 (1993) 253-278
18. Wriggers P. Finite element algorithm for contact problems. Arch Comp Meth Engng 2 4 (1995) 1-49
19. Wriggers P. Computational contact mechanics. first ed. (2002), John Wiley & Sons Ltd. p. 306-09
20. Wriggers P. Computational contact mechanics. 2nd ed. (2006), Springer-Verlag, Heidelberg
21. Wriggers P., and Krstulovic-Opara L. The moving friction cone approach for three-dimensional contact simulations. Int J Comput Methods 1 (2004) 105-119
22. Wriggers P., and Simo J.C. A note on tangent stiffness for fully nonlinear contact problems. Comput Appl Num Meth 1 (1985) 199-203