The TDNNS method for Reissner-Mindlin plates. [PDF]
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.
europepmc +7 more sources
Reissner-Mindlin plate theory for elastodynamics [PDF]
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]
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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On Stability of Hyperbolic Thermoelastic Reissner-Mindlin-Timoshenko Plates [PDF]
In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absense of any additional mechanical dissipations, the system is often not even strongly
Pokojovy, Michael
core +3 more sources
First-order VEM for Reissner–Mindlin plates [PDF]
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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Asymptotic analysis of plates in static and dynamic strain gradient elasticity
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]
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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Mixed‐interpolated elements for Reissner–Mindlin plates [PDF]
AbstractWe present in this paper a procedure to establish Reissner–Mindlin plate bending elements. The procedure is based on the idea to combine known results on the approximation of Stokes problems with known results on the approximation of elliptic problems.
Brezzi, Franco +2 more
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Free vibration analysis of functionally graded porous plate using 3-D degenerated shell element
The free vibration analysis of porous functionally graded (FG) plates using 8-noded three-dimensional degenerated shell element has been presented in this paper.
Narayan Sharma +3 more
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A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
In this paper, a finite element simulation of nonlinear elasto-plastic deformations of Reissner-Mindlin bending plates is described. The previously proposed four-node Q4( element with transverse energy of shearing for thick bending plates is extended to ...
Meftah Kamel, Sedira Lakhdar
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