Results 11 to 20 of about 3,671 (216)
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. In this formulation, the bending moments are treated as separate unknowns.
Pechstein AS, Schöberl J.
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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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On stability of hyperbolic thermoelastic Reissner–Mindlin–Timoshenko plates [PDF]
Mathematical Methods in the Applied Sciences, 2014 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 absence of any additional mechanical dissipations, the system is often not even strongly stable unless restricted to the rotationally symmetric case, and so on. We present a well‐posedness
Pokojovy, Michael
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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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Mixed‐interpolated elements for Reissner–Mindlin plates [PDF]
International Journal for Numerical Methods in Engineering, 1989 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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A volume-averaged nodal projection method for the Reissner-Mindlin plate model [PDF]
, 2018 We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and transverse displacement) and is devoid of shear-locking. The proposed approach
Bordas, Stéphane P. A. +5 more
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Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system [PDF]
, 2010 We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div) conforming finite elements and equilibrated fluxes.
Creusé, Emmanuel +2 more
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Model adaptivity for finite element analysis of thin or thick plates based on equilibrated boundary stress resultants [PDF]
, 2009 Purpose – The purpose of this paper is to address error-controlled adaptive finite element (FE) method for thin and thick plates. A procedure is presented for determining the most suitable plate model (among available hierarchical plate models) for each ...
Bohinc, Uroš +2 more
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High frequency modes meshfree analysis of Reissner–Mindlin plates
Journal of Science: Advanced Materials and Devices, 2016 Finite element method (FEM) is well used for modeling plate structures. Meshfree methods, on the other hand, applied to the analysis of plate structures lag a little behind, but their great advantages and potential benefits of no meshing prompt continued
Tinh Quoc Bui +4 more
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Vietnam Journal of Mechanics, 2007 A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function.
Nguyen Xuan Hung, Ngo Thanh Phong
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