Incorporation of contact for high-order finite elements in covariant form

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 13-14, 2009, Pages 1213-1223

  Konyukhov, Alexander ^a   Schweizerhof, Karl ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Anisotropic refinement; Consistent linearization; Contact layer FE; Covariant description; High order FE; Smooth contact

Indexed keywords

ANISOTROPY; FUNCTION EVALUATION; LINEARIZATION; PROBABILITY DENSITY FUNCTION; THERMOELECTRICITY;

ANISOTROPIC REFINEMENT; CONSISTENT LINEARIZATION; CONTACT LAYER FE; COVARIANT DESCRIPTION; HIGH-ORDER FE; SMOOTH CONTACT;

FINITE ELEMENT METHOD;

EID: 60249093454     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.04.023     Document Type: Article

References (30)

1. Benson D.J., and Hallquist J.O. A single surface contact algorithm for the post-buckling analysis of shell structures. Comput. Methods Appl. Mech. Engrg. 78 (1990) 141-163
2. Fischer K.A., and Wriggers P. Mortar based frictional contact formulation for higher order interpolations using the moving friction cone. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5020-5036
3. Jones R.E., and Papadopoulos P. A yield-limited Lagrange multiplier formulation for frictional contact. Int. J. Numer. Methods Engrg. 48 (2000) 1127-1149
4. Harnau M., Konyukhov A., and Schweizerhof K. Algorithmic aspects in large deformation contact analysis using "Solid-Shell" elements. Comput. Struct. 83 (2005) 1804-1823
5. Heege A., and Alart P. A frictional contact element for strongly curved contact problems. Int. J. Numer. Methods Engrg. 39 (1996) 165-184
6. Hughes T.J.R., Cottrell J.A., and Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Engrg. 194 (2005) 4135-4195
7. Hüeber S., and Wohlmuth B.I. Large deformation frictional contact mechanics: continuum formulation and Augmented Lagrangian treatment. Comput. Methods Appl. Mech. Engrg. 194 (2005) 3147-3166
8. Johnson K.L. Contact Mechanics (2001), Cambridge University Press
9. Konyukhov A., and Schweizerhof K. Contact formulation via a velocity description allowing efficiency improvements in frictionless contact analysis. Comput. Mech. 33 (2004) 165-173
10. Konyukhov A., and Schweizerhof K. Covariant description for frictional contact problems. Comput. Mech. 35 (2005) 190-213
11. Konyukhov A., and Schweizerhof K. A special focus on 2D formulations for contact problems using a covariant description. Int. J. Numer. Methods Engrg. 66 (2006) 1432-1465
12. Konyukhov A., and Schweizerhof K. Covariant description of contact interfaces considering anisotropy for adhesion and friction. Part 1. Comput. Methods Appl. Mech. Engrg. 196 1-3 (2006) 103-117
13. Konyukhov A., and Schweizerhof K. Covariant description of contact interfaces considering anisotropy for adhesion and friction. Part 2. Comput. Methods Appl. Mech. Engrg. 196 1-3 (2006) 289-303
14. A. Konyukhov, K. Schweizerhof, Symmetrization of various friction models based on an Augmented Lagrangian approach. In: U. Nackenhorst, P. Wriggers (Eds.), IUTAM Symposium on "Computational Contact Mechanics", IUTAM Bookseries, Springer, 2007, pp. 97-111.
15. Konyukhov A., and Schweizerhof K. On the solvability of closest point projection procedures in contact analysis: analysis and solution strategy for surfaces of arbitrary geometry. Comput. Methods Appl. Mech. Engrg. 197 (2008) 3045-3056
16. 1-continuous formulation for 3D finite deformation frictional contact. Comput. Mech. 29 (2002) 27-42
17. Laursen T.A. Computational Contact and Impact Mechanics. Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis (2002), Springer
18. Laursen T.A., and Simo J.C. A continuum-based finite element formulation for the implicit solution of multibody large deformation frictional contact problems. Int. J. Numer. Methods Engrg. 35 (1993) 3451-3485
19. Padmanabhan V., and Laursen T.A. A framework for development of surface smoothing procedures in large deformation frictional contact analysis. Finite Elem. Anal. Des. 37 (2001) 173-198
20. Paczelt I., Szabo B.A., and Szabo T. Solution of contact problem using the hp-version of the finite element methods. Comput. Math. Appl. 38 (1999) 49-69
21. Pietrzak G., and Curnier A. Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangian treatment. Comput. Methods Appl. Mech. Engrg. 177 (1999) 351-381
22. Puso M.A., and Laursen T.A. A 3D contact smoothing method using Gregory patches. Int. J. Numer. Methods Engrg. 54 (2002) 1161-1194
23. Rank E., Düster A., Nübel V., Preusch K., and Bruhns O.T. High order finite elements for shells. Comput. Methods Appl. Mech. Engrg. 194 (2005) 2494-2512
24. Schweizerhof K., and Hallquist J.O. Efficiency refinements of contact strategies and algorithms in explicit finite element programming. In: Owen, Onate, and Hinton (Eds). Computational Plasticity (1992), Pineridge Press 457-482
25. Solin P., Segeth K., and Dolezel I. Higher-order Finite Element Methods (2004), Chapman & Hall/CRC
26. Solberg J.M., and Papadopoulos P. An analysis of dual formulations for the finite element solution of two-body contact problems. Comput. Methods Appl. Mech. Engrg. 194 (2005) 2734-2780
27. n continuous modeling of smooth contact surfaces using NURBS and application to 2D problems. Int. J. Numer. Methods Engrg. 57 (2003) 2177-2203
28. Wriggers P., and Simo J.C. A note on tangent stiffness for fully nonlinear contact problems. Commun. Appl. Numer. Methods 1 (1985) 199-203
29. Wriggers P., and Scherf O. Different a posteriori error estimators and indicators for contact problems. Math. Comput. Modell. 28 (1998) 437-447
30. Wriggers P. Computational Contact Mechanics (2002), John Wiley & Sons