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Static semicoercive normal compliance contact problem with limited interpenetration

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Abstract

For the static contact problem with limited interpenetration with obstacle, the existence of solutions is proved. The frictionless case is studied at first, and then the problem with Coulomb friction is investigated as well. The body has nowhere a Dirichlet boundary value condition prescribed. In both cases, if the prescribed depth of the interpenetration tends to 0, the solutions tend to a solution of the appropriate unilateral contact problem.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Jiří Jarušek

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  1. Jiří Jarušek
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Correspondence to Jiří Jarušek.

Additional information

I dedicate this paper to my friend and frequent coauthor Christof Eck who died recently merely 43 years old. He is badly missed by his relatives, friends, colleagues and students.

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Jarušek, J. Static semicoercive normal compliance contact problem with limited interpenetration. Z. Angew. Math. Phys. 66, 2161–2172 (2015). https://doi.org/10.1007/s00033-015-0539-5

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  • DOI: https://doi.org/10.1007/s00033-015-0539-5

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