2d Frictional B-Spline Smoothed Mortar Contact Problems Part I: Matching Phase
- *Corresponding Author:
- Kallel A
Pôle Universitaire Léonard de Vinci
De Vinci Reserach Center, Paris La Défense, France
Tel : +33 1 41 16 70 00
E-mail : [email protected]
Received Date: June 14, 2017; Accepted Date: June 30, 2017; Published Date: July 04, 2017
Citation: Kallel A, Bouabdallah S (2017) 2d Frictional B-Spline Smoothed Mortar Contact Problems Part I: Matching Phase. J Appl Mech Eng 6:272. doi: 10.4172/2168-9873.1000272
Copyright: © 2017 Kallel A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Simple averaged normal vector, Hermit polynomial, Cubic B-Spline curve and other technique are used to smooth surface for frictional contact problem between deformable bodies in context of large deformation. Mortar approach is combined with augmented Lagrange formulation to treat the contact constraints. A spline interpolation is also employed for the linearization of the kinematic contact constraints. Cubic B-Spline is applied at the boundary of contact element while maintaining a classical Lagrange interpolation at the interior. The quality of the contact pressure obtained with B-Spline is better than that achieved with a hall Lagrange discretization. The performance of the proposed framework is illustrated with representative two dimensional numerical examples.