Solvability of Dynamic Contact Problems for Elastic von Kármán Plates

DOI10.1137/080712179zbMath1188.35120OpenAlexW2052142136MaRDI QIDQ5190227

Igor Bock, Jiří Jarušek

Publication date: 15 March 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2b20e07ef386e8d7330036d75270cbc5491c798e

zbMATH Keywords

penalization of contact conditionlimit processunilateral dynamic contactfree and clamped plate

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence of solutions of dynamical problems in solid mechanics (74H20) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (10)

Vibrations of a beam between stops: collision events and energy balance properties ⋮ On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate ⋮ Dynamic contact of a thermoelastic Mindlin–Timoshenko beam with a rigid obstacle ⋮ Justification and solvability of dynamical contact problems for generalized Marguerre–von Kármán shallow shells ⋮ Dynamic contact problem for a bridge modeled by a viscoelastic full von Kármán system ⋮ Dynamic contact problem for a von Kármán–Donnell shell ⋮ Numerical approximation of von Kármán viscoelastic plates ⋮ Unilateral dynamic contact problem for viscoelastic Reissner-Mindlin plates ⋮ Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons ⋮ Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity

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