A frictionless contact algorithm for deformable bodies
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 45 (2011) no. 2, p. 235-254

This article is devoted to the presentation of a new contact algorithm for bodies undergoing finite deformations. We only address the kinematic aspect of the contact problem, that is the numerical treatment of the non-intersection constraint. In consequence, mechanical aspects like friction, adhesion or wear are not investigated and we restrict our analysis to the simplest frictionless case. On the other hand, our method allows us to treat contacts and self-contacts, thin or non-thin structures in a single setting.

DOI : https://doi.org/10.1051/m2an/2010041
Classification:  74B20,  74M15
Keywords: contact, frictionless, self-contact, elasticity, finite deformations
@article{M2AN_2011__45_2_235_0,
     author = {Pantz, Olivier},
     title = {A frictionless contact algorithm for deformable bodies},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {2},
     year = {2011},
     pages = {235-254},
     doi = {10.1051/m2an/2010041},
     zbl = {1267.74016},
     mrnumber = {2804638},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2011__45_2_235_0}
}
Pantz, Olivier. A frictionless contact algorithm for deformable bodies. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 45 (2011) no. 2, pp. 235-254. doi : 10.1051/m2an/2010041. http://www.numdam.org/item/M2AN_2011__45_2_235_0/

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