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Existence, uniqueness, and regularity results for the two-body contact problem

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Abstract

The problem of contact between two elastic bodies is studied under the assumption of nonzero initial gap in the potential contact region. The related variational inequality is stated and existence, uniqueness, and local regularity results are proved for its solution.

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Communicated by D. Kinderlehrer

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Boieri, P., Gastaldi, F. & Kinderlehrer, D. Existence, uniqueness, and regularity results for the two-body contact problem. Appl Math Optim 15, 251–277 (1987). https://doi.org/10.1007/BF01442654

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