Stability in Unilateral Contact Problems with Dry Friction

2013 ◽  
pp. 13-30 ◽  
Author(s):  
Elaine Pratt ◽  
Alain Léger ◽  
Michel Jean
Keyword(s):  
Dry Friction ◽  
Contact Problems ◽  
Unilateral Contact ◽  
Unilateral Contact Problems

scholarly journals Nitsche’s method for unilateral contact problems

2019 ◽  
Vol 75 (3) ◽  
pp. 189-204
Author(s):  
Tom Gustafsson ◽  
Rolf Stenberg ◽  
Juha Videman
Keyword(s):  
Contact Problems ◽  
Unilateral Contact ◽  
Nitsche’S Method ◽  
Nitsche's Method ◽  
Unilateral Contact Problems

Unilateral Contact Problems

2005 ◽  
Author(s):  
Christof Eck ◽  
Jiri Jarusek ◽  
Miroslav Krbec
Keyword(s):  
Contact Problems ◽  
Unilateral Contact ◽  
Unilateral Contact Problems

scholarly journals A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis

2018 ◽  
Vol 39 (4) ◽  
pp. 1627-1651 ◽  
Author(s):  
Pablo Antolin ◽  
Annalisa Buffa ◽  
Mathieu Fabre
Keyword(s):  
Isogeometric Analysis ◽  
A Priori ◽  
Contact Problems ◽  
Unilateral Contact ◽  
Spline Space ◽  
Three Dimensions ◽  
B Spline ◽  
A Priori Error Estimate ◽  
The Stability ◽  
Unilateral Contact Problems

Abstract In this paper we consider a unilateral contact problem without friction between a rigid body and a deformable one in the framework of isogeometric analysis. We present the theoretical analysis of the mixed problem. For the displacement, we use the pushforward of a nonuniform rational B-spline space of degree $p$ and for the Lagrange multiplier, the pushforward of a B-spline space of degree $p-2$. These choices of space ensure the proof of an inf–sup condition and so on, the stability of the method. We distinguish between contact and noncontact sets to avoid the classical geometrical hypothesis of the contact set. An optimal a priori error estimate is demonstrated without assumption on the unknown contact set. Several numerical examples in two and three dimensions and in small and large deformation frameworks demonstrate the accuracy of the proposed method.

A boundary variational inequality approach to unilateral contact problems with friction for micropolar hemitropic solids

2010 ◽  
Vol 33 (18) ◽  
pp. 2145-2161 ◽  
Author(s):  
A. Gachechiladze ◽  
R. Gachechiladze ◽  
J. Gwinner ◽  
D. Natroshvili
Keyword(s):  
Variational Inequality ◽  
Contact Problems ◽  
Unilateral Contact ◽  
Unilateral Contact Problems
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