An operational procedure for the symbolic analysis of the finite element method

DOI10.1016/0045-7825(84)90031-8zbMath0512.73061OpenAlexW2065643155MaRDI QIDQ1050171

J. Blot

Publication date: 1984

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(84)90031-8

zbMATH Keywords

finite element discretizationssymbolic analysiscomponent-wise discretization effectsdecouple finite element equationsHermitian approximation of Sturm-Liouville equationlimit differential equationslinear approximation of Timoshenko beamoperational procedurethin C-O elementstransverse shear element locking phenomenon

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Theoretical approximation in context of PDEs (35A35) Numerical and other methods in solid mechanics (74S99)

Related Items (8)

A modified representation of transverse shear in \(C^ 0\) quadrilateral plate elements ⋮ Mass matrix templates: general description and 1D examples ⋮ Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates ⋮ Customizing the mass and geometric stiffness of plane beam elements by Fourier methods ⋮ A priori identification of shear locking and stiffening in triangular Mindlin elements ⋮ A Fourier analysis of spurious mechanisms and locking in the finite element method ⋮ Locking, spurious mechanisms, and pressure divergence in penalty finite element methods for Stokes flow problems ⋮ A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element

Uses Software

• MACSYMA

Cites Work

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• A simple and efficient finite element for plate bending
• A simple quadrilateral shell element
• Reduced integration technique in general analysis of plates and shells

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