Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
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RIS BIB ENDNOTEProximal 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.11.006.0292Authors
Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
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.
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Information: Schedae Informaticae, 2011, Volume 20, pp. 115 - 136
Article type: Original article
Titles:
Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity
Institute of Computer Science, Jagiellonian University, Poland
Published at: 23.01.2012
Article status: Open
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