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On the Use of Strain Interpolation in a Mixed Formulation for Reissner-Mindlin Plate Theory

1988
When the standard form of the Hellinger-Reissner principle is applied to Reissner-Mindlin plate theory, a locking phenomenon in the corresponding finite element formulation is observed in the thin plate limit. Although this locking results from the finite element representation of the transverse shear strains, its nature is different to that found in ...
Peter M. Pinsky, Selim Fayad, Raja Jasti
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A comparison of the plate theories in the sense of Kirchhoff-Love and Reissner-Mindlin

Mathematical Methods in the Applied Sciences, 1999
Summary: We compare two plate theories (Kirchhoff-Love theory and Reissner-Mindlin theory) for different settings of the physical system. We establish existence, uniqueness and regularity of solutions to the boundary and initial-boundary value problems. Moreover, we give asymptotic expansions of the solutions in the limit of a vanishing plate thickness,
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SOLVING THE VIBRATION OF THICK SYMMETRIC LAMINATES BY REISSNER/MINDLIN PLATE THEORY AND THEp-RITZ METHOD

Journal of Sound and Vibration, 1996
Abstract A global p -Ritz method is employed for vibration analysis of thick rectangular laminates with various combinations of boundary conditions. In the method a set of boundary beam characteristic orthogonal polynomials is used as admissible functions in the Ritz minimization procedures.
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Some results for approximate strain and rotation tensor formulations in geometrically non-linear Reissner–Mindlin plate theory

International Journal of Non-Linear Mechanics, 2008
Abstract Finite element deflection and stress results are presented for four flat plate configurations and are computed using kinematically approximate (rotation tensor, strain tensor or both) non-linear Reissner–Mindlin plate models. The finite element model is based on a mixed variational principle and has both displacement and force field ...
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STUDY ABOUT FINITE ELEMENT PLATES BASED ON THE REISSNER-MINDLIN THEORY

Proceedings of the 25th International Congress of Mechanical Engineering, 2019
Jefferson da Silva Carvalho   +1 more
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Shear locking free polygonal elements for the analysis of functionally graded plates using ( n + 1) integration scheme and Reissner-Mindlin theory

Mechanics Based Design of Structures and Machines, 2023
S. Vengatsan   +3 more
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A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations

Computer Methods in Applied Mechanics and Engineering, 2023
Adam, Michael Neunteufel, Jack S Hale
exaly  

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