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2011 | 20 |
Article title

Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity

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PL
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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.
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20
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published
2011
online
21 - 05 - 2015
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YADDA identifier
bwmeta1.element.ojs-issn-2083-8476-year-2011-volume-20-article-2226
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