MATHICSE Technical Report : A priori error for unilateral contact problems with Lagrange multipliers and IsoGeometric Analyis

In this paper, we consider unilateral contact problem without friction between a rigid body_and deformable one in the framework of isogeometric analysis. We present the theoretical_analysis of the mixed problem using an active-set strategy and for a primal space of NURBS_of degree $p$ and $p-2$ for a dual space of B-Spline. A inf--sup stability is proved to ensure_a good property of the method. An optimal a priori error estimate is demonstrated without_assumption on the unknown contact set. Several numerical examples in two- and threedimensional_and in small and large deformations demonstrate the accuracy of the proposed_method.


Year:
Apr 05 2017
Publisher:
Écublens, MATHICSE
Note:
MATHICSE Technical Report Nr. 09.2017
Laboratories:




 Record created 2019-09-20, last modified 2019-10-22

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