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2d Frictional B-Spline Smoothed Mortar Contact Problems Part I: Matching Phase | OMICS International | Abstract
ISSN: 2168-9873

# Journal of Applied Mechanical EngineeringOpen Access

## 2d Frictional B-Spline Smoothed Mortar Contact Problems Part I: Matching Phase

Kallel A1* and Bouabdallah S2

1Pôle Universitaire Léonard de Vinci, De Vinci Reserach Center, Paris La Défense, France

2Laboratoire Roberval UMR 7337, Université Technologique de Compiègne, 60205 Compiègne, France

*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.

### Abstract

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.

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