Petrov-Galerkin formulations of the Timoshenko beam problem

DOI10.1016/0045-7825(87)90167-8zbMath0645.73030OpenAlexW2037764660MaRDI QIDQ1103440

Leopoldo P. Franca, Abimael Fernando Dourado Loula, Thomas J. R. Hughes

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90167-8

zbMATH Keywords

optimal rate of convergencevector interpolationnodally exact solutionoptimal weighting functions

Mathematics Subject Classification ID

Newton-type methods (49M15) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (15)

Mixed Petrov-Galerkin methods for the Timoshenko beam problem ⋮ MIXED FINITE ELEMENT METHODS FOR ONE-DIMENSIONAL PROBLEMS: A SURVEY ⋮ Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm ⋮ Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems ⋮ Locking-free finite element method for a bending moment formulation of Timoshenko beams ⋮ Semi-discrete and fully discrete Galerkin methods for the vibrating Timoshenko beam ⋮ Unlocking with residual-free bubbles ⋮ The hybrid-penalized method for the Timoshenko's beam ⋮ Global existence and asymptotic behavior for a Timoshenko system with internal damping and logarithmic source terms ⋮ Discontinuous Petrov-Galerkin method with optimal test functions for thin-body problems in solid mechanics ⋮ Numerical exponential decay to dissipative Bresse system ⋮ Least-squares finite element approximations to the Timoshenko beam problem. ⋮ Stability for a boundary contact problem in thermoelastic Timoshenko's beam ⋮ Conservative semidiscrete difference schemes for Timoshenko systems ⋮ On fully discrete schemes for the Fermi pencil-beam equation

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