Geodesic
A frictionless contact algorithm for deformable bodies
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 2, pp. 235-254

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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 : 10.1051/m2an/2010041
Classification : 74B20, 74M15
Keywords: contact, frictionless, self-contact, elasticity, finite deformations 
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     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://geodesic.mathdoc.fr/articles/10.1051/m2an/2010041/}
}
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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

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