The Influence of Equivalent Contact Area Computation in Extended Node to Surface Contact Elements

Abstract:

This article aims at extending the node to surface formulation for contact problems withan area regularization as proposed by [1]. For that purpose, two methods are proposed to computethe equivalent contact area attributed to each slave node. The first method, which is based on a geo-metrical approach through force equivalence, is an original extension of the one proposed in [1] fortwo-dimensional contact problems, i.e. plane stress and plane strain state, to the axisymmetric mod-elling context. The second method relies on an energy consistent way obtained through the virtualwork principle and the same expression for the equivalent contact area as the one originally cited in[2] is then recovered. First, the node to surface strategy with area regularization is introduced and theaforementioned methods for the equivalent contact area are presented in detail and compared. After-wards a consistent linearization technique is applied to achieve a quadratic convergence rate in theNewton Raphson iterative procedure used to solve the non-linear equilibrium equations of the under-lying finite element model. Finally, two axisymmetric numerical examples are provided in order tocompare the aforementioned equivalent contact area evaluations and to demonstrate the performanceand the robustness of the consistent approach especially in the neighbourhood the revolution axis.

• Periodical: Key Engineering Materials (Volume 618)
• Pages: 1-22
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.618.1
• Online since: July 2014
• Authors: Gaetan Wautelet*, Jean Philippe Ponthot
• Keywords: Area Regularization, Axisymmetric, Contact Mechanics, Finite Element Method (FEM), Friction-Less, Node to Surface, Penalty Method

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