A class of dynamic unilateral contact problems with sub-differential friction law and heat exchange

par Dr Oanh Chau (Université de la Réunion)

lundi 3 juil. 2023, 10:00 → 10:26 Europe/Paris

321 03 01 (INSA-Lyon321 03 01)

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.