Results 21 to 30 of about 3,977 (202)
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
core +4 more sources
The Reissner–Mindlin plate theory via Γ-convergence
Comptes Rendus. Mathématique, 2006 We obtain the energy functional of Reissner–Mindlin plates as the Γ-limit of a family of three-dimensional energy functionals within the framework of second-order linear elasticity. The choice of the family of functionals, as well as of the candidate limiting functional, is guided by a formal scaling argument.
Paroni, Roberto +2 more
openaire +3 more sources
On composite shell models with a piecewise linear warping function [PDF]
, 2003 A multilayered shell model accounting for a piecewise linear (i.e. zig-zag) distribution of displacements through the laminate thickness is discussed.
Brank, Boštjan
core +1 more source
An asymptotic Reissner–Mindlin plate model
Comptes Rendus. Mécanique, 2018 A mathematical study via variational convergence of a periodic distribution of classical linearly elastic thin plates softly abutted together shows that it is not necessary to use a different continuum model nor to make constitutive symmetry hypothesis as starting points to deduce the Reissner–Mindlin plate model.
Licht, Christian, Weller, Thibaut
openaire +1 more source
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
core +4 more sources
Shear-corrected Reissner-Mindlin plate model [PDF]
Composite Structures, 2019 Abstract A new shear-corrected Reissner-Mindlin model is presented. The method reduces the modeling error of the classical model without affecting the form of the classical plate equations. Therefore, implementation on an existing software for the Reissner-Mindlin plate model is simple.
openaire +3 more sources
Hierarchic finite elements for thin plates and shells
Computer Assisted Methods in Engineering and Science, 2023 We consider the numerical approximation of thin plate and shell structures. The plate model is described following the Reissner-Mindlin assumptions while the shell is described using the Naghdi formulation.
Claudia Chinosi +2 more
doaj
An overview of selected plate and shell FE models with graphic presentation of governing relations
Computer Assisted Methods in Engineering and Science, 2022 A survey of three forms (strong, weak and variational) of mathematical models is presented using expressive diagrams initiated in [3,10]. The primary and intermediate variables, governing field equations, constraint equations and variables specified by ...
Maria Radwańska
doaj
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
doaj +1 more source
An improved theory of laminated Reissner–Mindlin plates
International Journal of Solids and Structures, 2014 AbstractTheories of laminated plates have been proposed that, although they lead to different plate equations, are based as ours on the assumptions that the three-dimensional deformation of each layer is of Reissner–Mindlin type and that displacement and traction vectors are continuous across layer interfaces.
FORMICA, GIOVANNI +2 more
openaire +1 more source