Vibro-impact of a plate on rigid obstacles: existence theorem, convergence of a scheme and numerical simulations

DOI10.1093/imanum/drr057zbMath1326.74123OpenAlexW2115541909MaRDI QIDQ4907969

Michel Salaün, Cédric Pozzolini, Yves Renard

Publication date: 27 February 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr057

zbMATH Keywords

variational inequalitiesfinite element methodelastic platescheme convergencedynamics with unilateral constraints

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Impact in solid mechanics (74M20) Numerical methods for variational inequalities and related problems (65K15)

Related Items (6)

Vibrations of a beam between stops: collision events and energy balance properties ⋮ The singular dynamic method for dynamic contact of thin elastic structures ⋮ Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles ⋮ Stable IMEX schemes for a Nitsche-based approximation of elastodynamic contact problems. Selective mass scaling interpretation ⋮ Nitsche-based models for the unilateral contact of plates ⋮ A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes

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