%0 Journal Article
%T Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
%A Czepiel, Jerzy
%J Schedae Informaticae
%V 2011
%R 10.4467/20838476SI.11.006.0292
%N Volume 20
%P 115-136
%K linearly elastic body, Winkler law, unilateral contact, adhesion, variational-hemivariational inequality, proximal bundle method
%@ 1732-3916
%D 2012
%U https://ejournals.eu/en/journal/schedae-informaticae/article/proximal-bundle-method-for-simplied-unilateral-adhesion-contact-problem-of-elasticity
%X 
	We consider a mathematical model which describes the adhesive contact between a linearly elastic body and an obstacle. The process is static and frictionless. The normal contact is governed by two laws. The first one is a Signorini law, representing the fact that there is no penetration between a body and an obstacle. The second one is a Winkler type law signifying that if there is no contact, the bonding force is proportional to the displacement below a given bonding threshold and equal to zero above the bonding threshold. The model leads to a variational-hemivariational inequality. We present the numerical results for solving a simple two-dimensional model problem with the Proximal Bundle Method (PBM). We analyze the method sensitivity and convergence speed with respect to its parameters.