Re-visiting the contact patch test

International Journal for Numerical Methods in Engineering

Volumn 48, Issue 3, 2000, Pages 435-449

  Crisfield, M A ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Contact patch test; Linear elements; Quadratic elements; Shape functions

Indexed keywords

CONTACT PATCH TEST; QUADRATIC SHAPE FUNCTIONS;

FUNCTIONS; INTERPOLATION;

COMPUTATIONAL GEOMETRY;

EID: 0033682998     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(20000530)48:3<435::AID-NME891>3.0.CO;2-V     Document Type: Article

References (11)

1. 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.
2. Papadopoulos P, Solberg JM. Lagrange multiplier method for the finite element solution of frictionless contact problems. Mathematical and Computer Modelling 1998; 28:373-384.
3. Hallquist JO, Goudreau GL, Benson D. Sliding interfaces with contact-impact in large-scale Lagrangian computations. Computer Methods in Applied Mechanics and Engineering 1985; 51:107-137.
4. Crisfield MA. Non-Linear Finite Element Analysis of Solids and Structures, vol. 2. Advanced Topics. Wiley: Chichesteer, 1997.
5. Taylor RL, Papodopoulos P. On a patch test for contact problems in two dimensions. In Computational Methods in Nonlinear Mechanics, Wriggers P, Wagner W (eds). Springer: Berlin, 1991; 690-702.
6. Eterovic E, Bathe KJ. An interface interpolation scheme for quadratic convergence in the finite element analysis of contact problems. In Computational Methods in Nonlinear Mechanics, Wriggers P, Wagner W (eds). Springer: Berlin, 1991; 703-715.
7. Taylor RL, Wriggers P. Smooth surface discretisation for large deformation frictionless contac. Report UCB/SEMM-99-04, University of California, February 1999.
8. Heegaard JH, Curnier A. Geometric properties of 2D and £D unilateral large slip contact operator. Computer Methods in Applied Mechanics and Engineering 1996; 131(3-4):263-286.
9. Pietrzak G. Continuum mechanics modelling and augmented Lagrangian formulation of large deformation contact problems. Technical Report 1656, EPFL, Lausanne, 1997.
10. Wriggers P, Zavarise G. On contact between three-dimensional beams undergoing large deflections. Communications in Numerical Methods in Engineering 1997; 13:429-438.
11. 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.