Geodesic
Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates
Applications of Mathematics, Tome 65 (2020) no. 1, pp. 43-65

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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.
DOI : 10.21136/AM.2020.0216-19
Classification : 35Q74, 74D10, 74H20, 74K20, 74M15
Keywords: dynamic contact problem; limited interpenetration; viscoelastic plate; existence of solution 
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Jarušek, Jiří. Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates. Applications of Mathematics, Tome 65 (2020) no. 1, pp. 43-65. doi: 10.21136/AM.2020.0216-19

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