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Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity

Publication date: 23.01.2012

Schedae Informaticae, 2011, Volume 20, pp. 115-136

https://doi.org/10.4467/20838476SI.11.006.0292

Authors

Jerzy Czepiel
Institute of Computer Science, Jagiellonian University, Poland
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Titles

Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity

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.

References

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Information

Information: Schedae Informaticae, 2011, Volume 20, pp. 115-136

Article type: Original scientific article

Authors

Institute of Computer Science, Jagiellonian University, Poland

Published at: 23.01.2012

Article status: Open

Licence: None

Percentage share of authors:

Jerzy Czepiel (Author) - 100%

Article corrections:

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Publication languages:

English

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