Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates

0521962 - MÚ 2021 RIV CZ eng J - Článek v odborném periodiku
Jarušek, Jiří
Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates.
Applications of Mathematics. Roč. 65, č. 1 (2020), s. 43-65. ISSN 0862-7940. E-ISSN 1572-9109
Institucionální podpora: RVO:67985840
Klíčová slova: dynamic contact problem * limited interpenetration * viscoelastic plate * existence of solution
Obor OECD: Pure mathematics
Impakt faktor: 0.881, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.21136/AM.2020.0216-19

Solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von Kármán plates, Reissner-Mindlin plates, and full von Kármán systems are treated. The viscoelasticity can have the classical ('short memory') form or the form of a certain singular memory. For all models some convergence of the solutions to the solutions of the Signorini contact is proved provided the thickness of the interpenetration tends to zero.
Trvalý link: http://hdl.handle.net/11104/0306504