A priori identification of shear locking and stiffening in triangular Mindlin elements

DOI10.1016/0045-7825(85)90005-2zbMath0553.73064OpenAlexW2056679125MaRDI QIDQ759540

Alexander Tessler

Publication date: 1985

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(85)90005-2

zbMATH Keywords

shear lockinga priori, explicit algebraic procedurecomparedconforming, three-node Mindlin elementdiscretizations of square plateselement Kirchhoff modeselement-level solutionsexcessive solution stiffeningnodal degree-of-freedom constraintsthin shear-deformable plates

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

Related Items (15)

A variational method for finite element stress recovery and error estimation ⋮ \(C^1\)-continuous stress recovery in finite element analysis ⋮ A \(C^ 0\)-anisoparameteric three-node shallow shell element ⋮ An improved variational method for finite element stress recovery and a posteriori error estimation ⋮ A new hybrid smoothed FEM for static and free vibration analyses of Reissner-Mindlin plates ⋮ A higher-order plate theory with ideal finite element suitability ⋮ Theories and finite elements for multilayered anisotropic, composite plates and shells. ⋮ Unnamed Item ⋮ A four-node, shear-deformable shell element developed via explicit Kirchhoff constraints ⋮ On stabilized finite element methods for the Reissner–Mindlin plate model ⋮ Predicting and avoiding shear locking in beam vibration problems using the B-spline field approximation method ⋮ An efficient quadrilateral element for plate bending analysis ⋮ Smoothing Technique Based Beta FEM (βFEM) for Static and Free Vibration Analyses of Reissner–Mindlin Plates ⋮ Non-linear finite element modal approach for the large amplitude free vibration of symmetric and unsymmetric composite plates ⋮ A new hybrid quadrilateral finite element for Mindlin plate

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fourier analysis of spurious mechanisms and locking in the finite element method
• An operational procedure for the symbolic analysis of the finite element method
• A four-noded thin-plate bending element using shear constraints - A modified version of Lyons' element
• Minimal-degree thin triangular plate and shell bending finite elements of order two and four
• Penalty-finite element methods for the analysis of Stokesian flows
• An improved treatment of transverse shear in the Mindlin-type four-node quadrilateral element
• A finite element method for plane strain deformations of incompressible solids
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Shear and membrane locking in curved \(C^ 0\) elements
• AC0 triangular plate element with one-point quadrature
• Mixed models and reduced/selective integration displacement models for nonlinear analysis of curved beams
• Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
• A study of three-node triangular plate bending elements
• An explicit formulation for an efficient triangular plate-bending element
• An efficient, conforming axisymmetric shell element including transverse shear and rotary inertia
• A simple and efficient finite element for plate bending
• A simple and efficient element for axisymmetric shells
• A simple quadrilateral shell element
• A study of quadrilateral plate bending elements with ‘reduced’ integration
• The “heterosis” finite element for plate bending
• A rapidly converging triangular plate element.
• Reduced integration technique in general analysis of plates and shells

This page was built for publication: A priori identification of shear locking and stiffening in triangular Mindlin elements