Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system

DOI10.1007/S00033-010-0066-3zbMath1273.74352OpenAlexW2055725961MaRDI QIDQ638710

Jiří Jarušek, Igor Bock

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-010-0066-3

zbMATH Keywords

existence of solutionsshort memoryunilateral domain contactfull von Kármán systemnonlinear plate vibrationspenalization of contact conditionunilateral dynamic boundary contact

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

General decay to the full von Kármán system with memory ⋮ On the justification of Koiter's equations for viscoelastic shells ⋮ Dynamic contact problem for a von Kármán–Donnell shell ⋮ Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates.

Cites Work

• Unilateral dynamic contact of von Kármán plates with singular memory.
• Global existence for the full von Kármán system
• Solvability of Dynamic Contact Problems for Elastic von Kármán Plates
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