A comparative study between two smoothing strategies for the simulation of contact with large sliding

Abstract : The numerical simulation of contact problems is still a delicate matter especially when large transformations are involved. In that case, relative large slidings can occur between contact surfaces and the discretization error induced by usual finite elements may not be satisfactory. In particular, usual elements lead to a facetization of the contact surface, meaning an unavoidable discontinuity of the normal vector to this surface. Uncertainty over the precision of the results, irregularity of the displacement of the contact nodes and even numerical oscillations of contact reaction force may result of such discontinuity. Among the existing methods for tackling such issue, one may consider mortar elements [11,21,26], smoothing of the contact surfaces with additional geometrical entity (B-splines or NURBS) [8,16,15,22,38] and, the use of isogeometric analysis [13,36,19]. In the present paper, we focus on these last two methods which are combined with a finite element code using the bi-potential method for contact management [10]. A comparative study focusing on the pros and cons of each me thod regarding geometrical precision and numerical stability for contact solution is proposed. The s cope of this study is limited to 2D contact problems for which we consider several types of finite elements. Test cases are given in order to illustrate this comparative study.
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Alain Batailly, Benoit Magnain, Nicolas Chevaugeon. A comparative study between two smoothing strategies for the simulation of contact with large sliding. Computational Mechanics, Springer Verlag, 2012, 51 (5), pp.581-601. ⟨10.1007/s00466-012-0737-3⟩. ⟨hal-00711088v2⟩

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