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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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A New Triangular Hybrid Displacement Function Element for Static and Free Vibration Analyses of Mindlin-Reissner Plate [PDF]
Latin American Journal of Solids and Structures, 2017 A new 3-node triangular hybrid displacement function Mindlin-Reissner plate element is developed. Firstly, the modified variational functional of complementary energy for Mindlin-Reissner plate, which is eventually expressed by a so-called displacement ...
Jun-Bin Huang +3 more
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A new locking-free polygonal plate element for thin and thick plates based on Reissner-Mindlin plate theory and assumed shear strain fields [PDF]
Computers & Structures, 2018 A new $n-$ noded polygonal plate element is proposed for the analysis of plate structures comprising of thin and thick members. The formulation is based on the discrete Kirchhoff Mindlin theory.
Bordas, Stephane PA +2 more
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The TDNNS method for Reissner-Mindlin plates. [PDF]
Numer Math (Heidelb), 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 AS, Schöberl J.
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Asymptotic analysis of plates in static and dynamic strain gradient elasticity
Comptes Rendus. Mécanique, 2022 We study the steady-state and transient responses of a second-order elastic plate by implementing an asymptotic analysis of the three-dimensional equations with respect to two geometric characteristics seen as parameters: the thickness of the plate and ...
Licht, Christian, Weller, Thibaut
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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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Frontiers in Materials, 2022 We study the propagation of bending waves along the free edge of a semi-infinite piezoelectric plate within the framework of two-variable refined plate theory (TVPT, a high-order plate theory), Reissner-Mindlin refined plate theory (RMPT, a first-order ...
Guoquan Nie +5 more
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A bending-gradient model for thick plates, I : theory [PDF]
, 2011 International audienceThis is the first part of a two-part paper dedicated to a new plate theory for out-of-plane loaded thick plates where the static unknowns are those of the Kirchhoff-Love theory (3 in-plane stresses and 3 bending moments), to which six
Lebée, Arthur, Sab, Karam
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Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads
Communications, 2012 Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
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On corner singularities in Reissner‐Mindlin's theory of elastic plates [PDF]
PAMM, 2015 AbstractIn the framework of linear elasticity, singularities occur in domains with non‐smooth boundaries. Particularly in Fracture Mechanics, the local stress field near stress concentrations is of interest. In this work, singularities at re‐entrant corners or sharp notches in Reissner‐Mindlin plates are studied.
Julian Felger, Wilfried Becker
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