A dynamic contact problem involving a Timoshenko beam model

DOI10.1016/j.apnum.2012.09.010zbMath1395.74069OpenAlexW2016064202MaRDI QIDQ1932647

José R. Fernández, Maria Inês M. Copetti

Publication date: 21 January 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.09.010

zbMATH Keywords

existenceerror estimatesfinite element methoduniquenessviscoelasticitylinear convergenceFaedo-Galerkin methodnormal compliance

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (6)

Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model ⋮ On the theoretical and numerical stability of the thermoviscoelastic Bresse system ⋮ A contact problem for a thermoelastic Timoshenko beam ⋮ On the stabilization of the Bresse beam with Kelvin-Voigt damping ⋮ A dynamic thermoviscoelastic contact problem with the second sound effect ⋮ Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls

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