@article{c247127b-5008-4f1e-a8b5-8488f0f5f7e6,
author = {Jerzy Czepiel},
title = {Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity},
journal = {Schedae Informaticae},
volume = {2011},
number = {Volume 20},
year = {2012},
issn = {1732-3916},
pages = {115-136},keywords = {linearly elastic body; Winkler law; unilateral contact; adhesion; variational-hemivariational inequality; proximal bundle method},
abstract = {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.},
doi = {10.4467/20838476SI.11.006.0292},
url = {https://ejournals.eu/en/journal/schedae-informaticae/article/proximal-bundle-method-for-simplied-unilateral-adhesion-contact-problem-of-elasticity}
}