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Variational Approaches for Contact Models with Multi-Contact Zones

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Abstract

We consider a contact model with two contact zones, for linearly elastic materials, under the small deformation hypothesis. We pay attention to four possible variational formulations: one of them is a variational inequality of the second kind and the other three are mixed variational problems governed by variational inequalities on convex sets of Lagrange multipliers. We study the existence and the uniqueness of the solution for each of the four variational formulations. Some connections between these four weak formulations are also discussed. Our approach requires a background knowledge in the variational inequalities theory as well as in the saddle point theory.

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Authors and Affiliations

  1. Doctoral School of Sciences, University of Craiova, A.I. Cuza 13, 200585, Craiova, Romania

    Mariana Chivu Cojocaru

  2. Department of mathematics, University of Craiova, A.I. Cuza 13, 200585, Craiova, Romania

    Andaluzia Matei

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  1. Mariana Chivu Cojocaru
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  2. Andaluzia Matei
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Both authors have contributed equally in writing this article. Both authors approved the final manuscript.

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Correspondence to Andaluzia Matei.

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Chivu Cojocaru, M., Matei, A. Variational Approaches for Contact Models with Multi-Contact Zones. Mediterr. J. Math. 19, 228 (2022). https://doi.org/10.1007/s00009-022-02144-w

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  • DOI: https://doi.org/10.1007/s00009-022-02144-w

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