A modified node-to-segment algorithm passing the contact patch test

International Journal for Numerical Methods in Engineering

Volumn 79, Issue 4, 2009, Pages 379-416

  Zavarise, Giorgio ^a   de Lorenzis, Laura ^a  

^a UNIVERSITY OF SALENTO   (Italy)

Author keywords

Contact mechanics; Contact patch test; Node to segment; Penalty method

Indexed keywords

BASIC FORMULATION; CONSTANT CONTACT; CONTACT CONSTRAINT; CONTACT GEOMETRY; CONTACT MECHANICS; CONTACT PATCH; CONTACT PATCH TEST; CONTACTING SURFACES; FRICTIONLESS CONTACTS; INCREMENTAL IMPROVEMENTS; LAGRANGE MULTIPLIER METHOD; LINEAR ELEMENT; MESH REFINEMENT; NODE-TO-SEGMENT; ONE-PASS; PENALTY METHOD; PENALTY METHODS;

ALGORITHMS; ERRORS; LAGRANGE MULTIPLIERS; MECHANICS; TWO DIMENSIONAL;

TESTING;

EID: 68549136551     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2559     Document Type: Article

References (24)

1. Hughes TRJ, Taylor RL, Sackman J, Curnier A, Kanoknukulchai W. A finite element method for a class of contact-impact problems. Computer Methods in Applied Mechanics and Engineering 1976; 8(3):249-276.
2. Hughes TRJ, Taylor RL, Kanoknukulchai W. A finite element method for large displacement contact and impact problems. In Formulations and Computational Algorithms in FE Analysis, Bathe KJ (ed.). MIT Press: Boston, 1977; 468-495.
3. Hallquist JO. Nike2D: an implicit, finite deformation, finite element code for analyzing the static and dynamic response of two-dimensional solids. Technical Report UCRL-52678, Lawrence Livermore National Laboratory, University of California, Livermore, 1979.
4. Bathe KJ, Chaudhary AB. A solution method for planar and axisymmetric contact problems. International Journal for Numerical Methods in Engineering 1985; 21:65-88.
5. Hallquist JO, Goudreau GL, Benson DJ. Sliding interfaces with contact-impact in large-scale Lagrange computations. Computer Methods in Applied Mechanics and Engineering 1985; 51:107-137.
6. Wriggers P, Simo JC. A note on tangent stiffness for fully nonlinear contact problems. Communications in Applied Numerical Methods 1985; 1:199-203.
7. Wriggers P, Van TV, Stein E. Finite element formulation of large deformation impact-contact problems with friction. Computers and Structures 1990; 37:319-333.
8. Papadopoulos P, Jones RE, Solberg JM. A novel finite element formulation for frictionless contact problems. International Journal for Numerical Methods in Engineering 1995; 38:2603-2617.
9. Stupkiewicz S. Extension of the node-to-segment contact element for surface-expansion-dependent contact laws. International Journal for Numerical Methods in Engineering 2001; 50:739-759.
10. Areias PMA, César de Sá JMA, Conceição CA. Algorithms for the analysis of 3D finite strain contact problems. International Journal for Numerical Methods in Engineering 2004; 61:1107-1151.
11. Wriggers P, Zavarise G. Computational contact mechanics. In Encyclopedia of Computational Mechanics, Volume 2: Solids and Structures, Stein E, De Borst R, Huges TJR (eds). Wiley: Chichester, 2004; 195-226.
12. Crisfield MA. Revisiting the contact patch test. International Journal for Numerical Methods in Engineering 2000; 44:1334-1355.
13. Taylor RL, Papodopoulos P. On a patch test for contact problems in two dimensions. In Computational Methods in Nonlinear Mechanics, Wriggers P, Wanger W (eds). Springer: Berlin, 1991; 690-702.
14. El-Abbasi N, Bathe KJ. Stability and patch test performance of contact discretizations and a new solution algorithm. Computers and Structures 2001; 79:1473-1486.
15. Zavarise G, Wriggers P. A segment-to-segment contact strategy. Mathematical and Computational Modelling 1998; 28(4-8):497-515.
16. Park KC, Felippa CA, Rebel G. A simple algorithm for localized construction of non-matching structural interfaces. International Journal for Numerical Methods in Engineering 2002; 53:2117-2142.
17. Tan D. Mesh matching and contact patch test. Computational Mechanics 2003; 31:135-152.
18. Chen X, Hisada T. Development of a finite element contact analysis algorithm to pass the patch test. Japan Society of Mechanical Engineers International Journal, Series A 2006; 49(4):483-491.
19. Kim JH, Lim JH, Lee JH, Im S. A new computational approach to contact mechanics using variable-node finite elements. International Journal for Numerical Methods in Engineering 2008; 73:1966-1988.
20. Luenberger DG. Linear and Nonlinear Programming (2nd edn). Addison-Wesley: Reading, MA, U.S.A., 1989.
21. Zavarise G, Wriggers P, Stein E, Schrefler BA. Real contact mechanisms and finite element formulation-a coupled thermomechanical approach. International Journal for Numerical Methods in Engineering 1992; 35:767-785.
22. Zavarise G, Boso D, Schrefler BA. A contact formulation for electrical and mechanical resistance. In Proceedings of CMIS, III Contact Mechanics International Symposium, Martins JAC, Monteiro Marques MDP (eds). Praja de Consolacao: Portugal, 2001; 211-218.
23. Wriggers P. Computational Contact Mechanics. Springer: Heidelberg, 2006.
24. Bathe KJ. The inf-sup condition and its evaluation for mixed finite element methods. Computers and Structures 2001; 79:243-252.