Reference : The Impact of Higher Order Differentiability and Auxiliary Slave Nodes in Two-dimensi...
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The Impact of Higher Order Differentiability and Auxiliary Slave Nodes in Two-dimensional Contact Elements
Nguyen, Duc Tue mailto [Université de Liège - ULiège > > > Form. doct. sc. ingé. (aérosp. & méca - Bologne)]
Gaston, Rauchs mailto [ > > ]
Jean Philippe, Ponthot mailto []
Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011)
from 14-11-2011 to 17-11-2011
University of Liège
[en] Mechanical contact, penalty method, node-to-surface, higher order of differentiability
[en] The aim of this work is to propose new contact elements of higher order of differentiability for analysing twodimensional frictionless contact problems. Several methods were proposed in the literature to solve the problem caused by the lack of continuity resulting from the discretization. Among them are Bézier interpolation, Hermitian interpolation and splines. One of the difficulties in using Hermitian interpolation is to verify the partition of unity. Therefore, new elements that satisfy the C1 and C2 continuity at the interface are presented in this paper. These new contact elements are based on Hermitian polynomials for ensuring a higher order of continuity. The advantage is that this approach can be easily developed not only for linear elements but also for quadratic elements with higher order of differentiability. The performance of different surface representations is assessed through a comparison with a C0 surface discretization. Some numerical examples are used for assessing the accuracy and the convergence behaviour.
Department of Advanced Materials and Structures (Centre de Recherche Public Henri Tudor) and bDepartment of Aerospace and Mechanical Engineering (University of Liège)
Fonds National de la Recherche of the Grand Duchy of Luxembourg under grants number PHD-09-185 and C08-MS-09-EeMAISCHEn.

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