Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity

• Authors: Jerzy Czepiel
• Languages of publication: PL

Abstracts

PL

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.

Keywords

PL

linearly elastic body, Winkler law, unilateral contact, adhesion, variational-hemivariational inequality, proximal bundle method

• Publisher: [unknown2]
• Journal: Schedae Informaticae
• Year: 2011
• Volume: 20

Dates

published

2011

online

21 - 05 - 2015

Contributors

author

Jerzy Czepiel