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Thick/Thin Plates. Reissner-Mindlin Theory
2013Kirchhoff plate elements studied in the previous chapter are restricted to thin plate situations only (thickness/average side ≤ 0.10). Also the C 1 continuity requirement for Kirchhoff elements poses severe difficulties for deriving a conforming deflection field.
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Wilson's element for the Reissner-Mindlin plate
Computer Methods in Applied Mechanics and Engineering, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Zhimin, Zhang, Shangyou
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Discontinuous Galerkin Elements for Reissner-Mindlin Plates
2008We present an overview of some families of locking-free elements for Reissner-Mindlin plates recently introduced and analyzed in [2] and [1]. They are all based on the ideas of discontinuous Galerkin approach, and they vary in the amount of interelement continuity required.
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Stabilized finite element approximations for the Reissner–Mindlin plate
Advances in Computational Mathematics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
Computer Methods in Applied Mechanics and Engineering, 2023Adam, Michael Neunteufel, Jack S Hale
exaly
Finite Elements for the Reissner–Mindlin Plate
2008Key words: mixed method, finite element, elasticity, plate1 Introduction 12 A variational approach to dimensional reduction 33 The Reissner–Mindlin model 64 Properties of the solution 75 Regularity results 86 Finite element discretizations 107 Abstract error analysis 118 Applications of the abstract error estimates 149 Some rectangular ...
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A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
SIAM Journal on Numerical Analysis, 1989Douglas N Arnold, Richard S Falk
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A locking-free weak Galerkin finite element method for Reissner–Mindlin plate on polygonal meshes
Computers and Mathematics With Applications, 2020Xiu Ye, Shangyou Zhang, Zhimin Zhang
exaly