Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity

• Autorzy: Czepiel J.
• Języki publikacji: EN

Abstrakty

EN

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 rst 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.

Słowa kluczowe

EN

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

• Wydawca: Wydawnictwo Uniwersytetu Jagiellońskiego
• Czasopismo: Schedae Informaticae
• Rocznik: 2011
• Tom: Vol. 20
• Strony: 115--136
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Czepiel J.

• Institute of Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland,

Bibliografia

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