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.
Mots-clés : 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 },
pages = {235--254},
publisher = {EDP-Sciences},
volume = {45},
number = {2},
year = {2011},
doi = {10.1051/m2an/2010041},
mrnumber = {2804638},
zbl = {1267.74016},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an/2010041/}
}
TY - JOUR AU - Pantz, Olivier TI - A frictionless contact algorithm for deformable bodies JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2011 SP - 235 EP - 254 VL - 45 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an/2010041/ DO - 10.1051/m2an/2010041 LA - en ID - M2AN_2011__45_2_235_0 ER -
%0 Journal Article %A Pantz, Olivier %T A frictionless contact algorithm for deformable bodies %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2011 %P 235-254 %V 45 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an/2010041/ %R 10.1051/m2an/2010041 %G en %F M2AN_2011__45_2_235_0
Pantz, Olivier. A frictionless contact algorithm for deformable bodies. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 2, pp. 235-254. doi : 10.1051/m2an/2010041. http://archive.numdam.org/articles/10.1051/m2an/2010041/
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