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

0521962 - MÚ 2021 RIV CZ eng J - Journal Article
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
Institutional support: RVO:67985840
Keywords : dynamic contact problem * limited interpenetration * viscoelastic plate * existence of solution
OECD category: Pure mathematics
Impact factor: 0.881, year: 2020
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0306504