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Jarušek, Jiří

Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates. (English) Zbl 07177871

Appl. Math., Praha 65, No. 1, 43-65 (2020).
Summary: Solvability of the rational contact with limited interpenetration of different kind of viscoelastic 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.

Cited in 1 Document

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
74D10 Nonlinear constitutive equations for materials with memory
74H20 Existence of solutions of dynamical problems in solid mechanics
74K20 Plates
74M15 Contact in solid mechanics

Keywords:

dynamic contact problem; limited interpenetration; viscoelastic plate; existence of solution
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\textit{J. Jarušek}, Appl. Math., Praha 65, No. 1, 43--65 (2020; Zbl 07177871)
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References:

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