A Class of Dynamic Unilateral Contact Problems with Sub-differential Friction Law

Oanh Chau (), Adrien Petrov () and Arnaud Heibig ()
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Oanh Chau: University of Reunion Island, PIMENT
Adrien Petrov: Université de Lyon
Arnaud Heibig: Université de Lyon

A chapter in Exploring Mathematical Analysis, Approximation Theory, and Optimization, 2023, pp 17-31 from Springer

Abstract: 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.

Keywords: Time depending thermo-visco-elasticity; Unilateral contact; Sub-differential friction law; Non clamped condition; Evolution variational inequality; 74M15; 74M10; 74F05; 74H20; 74H25; 34G25 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-46487-4_2

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DOI: 10.1007/978-3-031-46487-4_2

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