Abstract
We study a class of dynamic unilateral contact problems with sub-differential friction law, and thermal effects, for time depending long memory visco-elastic materials, with or without the clamped condition. We describe the mechanical problem, derive its variational formulation, and after specifying the assumptions on the data and operators, we prove an existence and uniqueness of weak solution on displacement and temperature fields.
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Chau, O., Petrov, A., Heibig, A. (2023). A Class of Dynamic Unilateral Contact Problems with Sub-differential Friction Law. In: Daras, N.J., Rassias, M.T., Zographopoulos, N.B. (eds) Exploring Mathematical Analysis, Approximation Theory, and Optimization. Springer Optimization and Its Applications, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-031-46487-4_2
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DOI: https://doi.org/10.1007/978-3-031-46487-4_2
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