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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
(Elsevier Ltd, 2019)
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. On each side of the polygonal ...
Postbuckling Analysis of Functionally Graded Beams
(Institute of Physics Publishing, 2019-02-26)
This paper studies the geometrically non-linear bending behavior of functionally graded beams subjected to buckling loads using the finite element method. The computational model is based on an improved first-order shear ...
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates
(2023)
We present a discontinuous Petrov–Galerkin method with optimal test functions for the Reissner–Mindlin plate bending model. Our method is based on a variational formulation that utilizes a Helmholtz decomposition of the ...
Formulation of solid-shell finite elements with large displacements considering different transverse shear strains approximations
(Elsevier Science, 2017-08)
This work presents a general formulation and implementation in solid-shell elements of the refined zigzag theory and the trigonometric shear deformation theory in an unified way. The model thus conceived is aimed for use ...
Analysis of elastic functionally graded materials under large displacements via high-order tetrahedral elements
(ELSEVIER SCIENCE BVAMSTERDAM, 2013-08-02)
The purpose of this study is to present a position based tetrahedral finite element method of any order to accurately predict the mechanical behavior of solids constituted by functionally graded elastic materials and ...
Vibração livre e flambagem de placas de Mindlin via elementos finitos strain gradient
(Universidade Tecnológica Federal do ParanáCuritibaBrasilPrograma de Pós-Graduação em Engenharia CivilUTFPR, 2021-05-28)
The finite element method (FEM) is an approximate method for the solution of continuum problems. Among the finite element formulation techniques, there is strain gradient notation. Created in the eighties, strain gradient ...
Development of a non-linear triangular prism solid-shell element using ANS and EAS techniques
(Elsevier Science, 2013-08)
This paper extends a previous triangular prism solid element adequate to model shells under large strains to become a solid-shell element, i.e., that discretizations may include just one element across the thickness. A ...
A finite element method for stiffened plates
(EDP Sciences, 2012-12)
The aim of this paper is to analyze a low order finite element method for a stiffened plate. The plate is modeled by Reissner-Mindlin equations and the stiffener by Timoshenko beams equations. The resulting problem is shown ...