A primal-dual active set strategy for unilateral non-linear dynamic contact problems of thin-walled structures

Author(s):  
Stefan Hartmann ◽  
Ekkehard Ramm ◽  
Stephan Brunssen ◽  
Barbara Wohlmuth
PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10267-10268
Author(s):  
Thomas Cichosz ◽  
Manfred Bischoff ◽  
Stefan Hartmann ◽  
Ekkehard Ramm

2017 ◽  
Vol 23 (3) ◽  
pp. 489-503 ◽  
Author(s):  
Mikaël Barboteu ◽  
Serge Dumont

In this work, an active set type method is considered in order to solve a mathematical problem that describes the frictionless dynamic contact of a multi-body rigid system, the so-called nonsmooth contact dynamics (NSCD) problem. Our aim, here, is to present the local treatment of contact conditions by an active set type method dedicated to NSCD and to carry out a comparison with the various well-known methods based on the bipotential theory and the augmented Lagrangian theory. After presenting the mechanical formulation of the NSCD and the resolution of the global problem concerning the equations of motion, we focus on the local level devoted to the resolution of the contact law. Then we detail the numerical treatment of the contact conditions within the framework of the primal-dual active set strategy. Finally, numerical experiments are presented to establish the efficiency of the proposed method by considering the comparison with the other numerical methods.


1985 ◽  
Vol 21 (10) ◽  
pp. 980-983
Author(s):  
V. N. Tishchenko

2022 ◽  
Vol 202 ◽  
pp. 103696
Author(s):  
Pavan Kumar Asur Vijaya Kumar ◽  
Aamir Dean ◽  
Shahab Sahraee ◽  
Jose Reinoso ◽  
Marco Paggi

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