×

Re-visiting the contact patch test. (English) Zbl 0969.74062

Summary: The paper uses the contact patch test to assess both linear and quadratic elements in relation to straight and curved contact surfaces. A new contact formulation is proposed which uses a combination of linear and quadratic shape functions. The potential advantages of the new formulation are demonstrated.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74M15 Contact in solid mechanics
Full Text: DOI

References:

[1] Papadopoulos, International Journal for Numerical Methods in Engineering 38 pp 2603– (1995) · Zbl 0834.73067 · doi:10.1002/nme.1620381507
[2] Papadopoulos, Mathematical and Computer Modelling 28 pp 373– (1998) · Zbl 1002.74590 · doi:10.1016/S0895-7177(98)00128-9
[3] Hallquist, Computer Methods in Applied Mechanics and Engineering 51 pp 107– (1985) · Zbl 0567.73120 · doi:10.1016/0045-7825(85)90030-1
[4] Non-Linear Finite Element Analysis of Solids and Structures, vol. 2. Advanced Topics. Wiley: Chichesteer, 1997.
[5] On a patch test for contact problems in two dimensions. In Computational Methods in Nonlinear Mechanics, (eds). Springer: Berlin, 1991; 690-702.
[6] An interface interpolation scheme for quadratic convergence in the finite element analysis of contact problems. In Computational Methods in Nonlinear Mechanics, (eds). Springer: Berlin, 1991; 703-715.
[7] Smooth surface discretisation for large deformation frictionless contac. Report UCB/SEMM-99-04, University of California, February 1999.
[8] Heegaard, Computer Methods in Applied Mechanics and Engineering 131 pp 263– (1996) · Zbl 0890.73055 · doi:10.1016/0045-7825(95)00977-9
[9] Continuum mechanics modelling and augmented Lagrangian formulation of large deformation contact problems. Technical Report 1656, EPFL, Lausanne, 1997.
[10] Wriggers, Communications in Numerical Methods in Engineering 13 pp 429– (1997) · Zbl 0878.73063 · doi:10.1002/(SICI)1099-0887(199706)13:6<429::AID-CNM70>3.0.CO;2-X
[11] Zavarise, International Journal for Numerical Methods in Engineering 35 pp 767– (1992) · Zbl 0775.73305 · doi:10.1002/nme.1620350409
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.