TY - JOUR
TI - Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
AU - Czepiel, Jerzy
TI - Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
AB - 
	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.
VL - 2011
IS - Volume 20
PY - 2012
SN - 1732-3916
C1 - 2083-8476
SP - 115
EP - 136
DO - 10.4467/20838476SI.11.006.0292
UR - https://ejournals.eu/en/journal/schedae-informaticae/article/proximal-bundle-method-for-simplied-unilateral-adhesion-contact-problem-of-elasticity
KW - linearly elastic body
KW - Winkler law
KW - unilateral contact
KW - adhesion
KW - variational-hemivariational inequality
KW - proximal bundle method