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Reissner-Mindlin plate theory for elastodynamics [PDF]
Journal of Applied Mathematics, 2004 Existence and uniqueness of solution are proved for elastodynamics of Reissner-Mindlin plate model. Higher regularity is proved under the assumptions of smoother data and certain compatibility conditions. A mass scaling is introduced.
Shen Rong Wu
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The TDNNS method for Reissner-Mindlin plates [PDF]
Numerische Mathematik, 2017 A new family of locking-free finite elements for shear deformable Reissner-Mindlin plates is presented. The elements are based on the "tangential-displacement normal-normal-stress" formulation of elasticity.
Pechstein, Astrid, Schöberl, Joachim
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On boundary layer in the Mindlin plate model: Levy plates [PDF]
Thin-Walled Structures, 2008 This work is related to the bending problem of thick rectangular Levy plates. Series solution for the Mindlin (thick) plate model is obtained and represented as a sum of the Kirchhoff (thin) plate model solution, the ``shear terms'' and the ``boundary ...
Brank, Boštjan
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Developments of Mindlin-Reissner Plate Elements [PDF]
Mathematical Problems in Engineering, 2015 Since 1960s, how to develop high-performance plate bending finite elements based on different plate theories has attracted a great deal of attention from finite element researchers, and numerous models have been successfully constructed. Among these elements, the most popular models are usually formulated by two theoretical bases: the Kirchhoff plate ...
Song Cen, Yan Shang
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International Journal of Mechanical System Dynamics, 2023 This paper presents a new analytical solution for the vibration response of a beam‐stiffened Mindlin plate having a completely free boundary condition by utilizing a finite cosine integral transform.
Hui Guo, Kai Zhang
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Numerical Approximation of Mindlin-Reissner Plates [PDF]
Mathematics of Computation, 1986 We consider a finite element approximation of the so-called Mindlin-Reissner formulation for moderately thick elastic plates. We show that stability and optimal error bounds hold independently of the value of the thickness.
Brezzi, F., Fortin, M.
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First-order VEM for Reissner–Mindlin plates [PDF]
Computational Mechanics, 2021 AbstractIn this paper, a first-order virtual element method for Reissner–Mindlin plates is presented. A standard displacement-based variational formulation is employed, assuming transverse displacement and rotations as independent variables. In the framework of the first-order virtual element, a piecewise linear approximation is assumed for both ...
D’Altri, A. M. +3 more
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An evaluation on the performance of two simple triangular bending plate elements [PDF]
MATEC Web of Conferences, 2018 This paper will study and compare two different three-node triangular bending plate elements with three degree of freedom per node, i.e. MITC3 and DKMT.
Rahmawati Dian +2 more
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Energy flow finite element analysis of general Mindlin plate structures coupled at arbitrary angles
International Journal of Naval Architecture and Ocean Engineering, 2019 Energy Flow Finite Element Analysis (EFFEA) is a promising tool for predicting dynamic energetics of complicated structures at high frequencies. In this paper, the Energy Flow Finite Element (EFFE) formulation of complicated Mindlin plates was newly ...
Young-Ho Park
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Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates [PDF]
Građevinski Materijali i Konstrukcije, 2017 The free vibration analysis of stiffened plate assemblies has been performed in this paper by using the dynamic stiffness method. Rectangular Mindlin plate dynamic stiffness element has been formulated.
Damnjanović Emilija +4 more
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