Static, free vibration and thermal analysis of composite plates and shells using a flat triangular shell element
type: Item
instance of: scholarly article
title: Static, free vibration and thermal analysis of composite plates and shells using a flat triangular shell element
zbMATH Open document ID: 0849.73068
DOI: 10.1007/BF00368557
author: Yanyan Li
published in: Computational Mechanics
publication date: 1996-06-10T00:00:00Z
review text: Finite element static, free vibration and thermal analysis of thin laminated plates and shells using a three-noded triangular flat shell element is presented. The flat shell element is a combination of the discrete Kirchhoff theory plate bending element and a membrane element derived from the linear strain triangular element with a total of 18 degrees of freedom (3 translations and 3 rotations per node). The results are presented for (i) static analysis of (a) simply supported square plates under doubly sinusoidal load and uniformly distributed load, (b) simply supported spherical shells under a uniformly distributed load; (ii) free vibration analysis of (a) square cantilever plates, (b) skew cantilever plates, and (c) simply supported spherical shells; (iii) thermal deformation analysis of (a) simply supported square plates, (b) simply supported-clamped square plate, and (c) simply supported spherical shells.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 873791
zbMATH Keywords: discrete Kirchhoff theory plate bending element
zbMATH Keywords: membrane element
zbMATH Keywords: linear strain triangular element
zbMATH Keywords: doubly sinusoidal load
zbMATH Keywords: uniformly distributed load
zbMATH Keywords: square cantilever plates
zbMATH Keywords: spherical shells
MaRDI profile type: Publication
cites work: A compatible triangular element including vertex rotations for plane elasticity analysis
cites work: A quadrilateral finite element including vertex rotations for plane elasticity analysis
cites work: Membrane triangles with corner drilling freedoms. I: The EFF element
cites work: A simple and effective element for analysis of general shell structures
cites work: A study of three-node triangular plate bending elements
cites work: A triangular membrane element with rotational degrees of freedom
cites work: Finite elements with increased freedom in choosing shape functions
cites work: A flat triangular shell element with improved membrane interpolation
cites work: Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes
cites work: Thermal deformation and stress analysis of composite laminated plates by finite element method
cites work: A plane hybrid element with rotational d.o.f. and adjustable stiffness
cites work: Modified formulations for nine-d.o.f. plane triangles that include vertex rotations
cites work: Further development of a three‐node triangular shell element
cites work: A triangular bending element based on an energy-orthogonal free formulation
cites work: Membrane triangles with corner drilling freedoms. II: The ANDES element
cites work: Membrane triangles with corner drilling freedoms. III: Implementation and performance evaluation
cites work: A quasi-conforming triangular laminated composite shell element based on a refined first-order theory
cites work: On drilling degrees of freedom
cites work: A novel membrane finite element with an enhanced displacement interpolation
cites work: Formulation of a membrane finite element with drilling degrees of freedom
cites work: An alternative explicit formulation for the DKT plate-bending element
cites work: Construction of new efficient three-node triangular thin plate bending elements
cites work: Piezothermoelastic composite plate analysis using first-order shear deformation theory
cites work: A faceted shell element with Loof nodes
cites work: Analysis of laminated composite plates using a higher-order shear deformation theory
cites work: Modified shape functions for the three-node plate bending element passing the patch test
cites work: Analysis of Heterogeneous Anisotropic Plates
cites work: Q3875490
cites work: Plate bending elements with discrete constraints: New triangular elements
description: scientific article; zbMATH DE number 873791