Development of high-order infinite element method for bending analysis of Mindlin-Reissner plates
type: Item
instance of: scholarly article
title: Development of high-order infinite element method for bending analysis of Mindlin-Reissner plates
zbMATH Open document ID: 1459.74110
DOI: 10.1155/2020/9142193
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: Summary: An approach is presented for solving plate bending problems using a high-order infinite element method (IEM) based on Mindlin-Reissner plate theory. In the proposed approach, the computational domain is partitioned into multiple layers of geometrically similar virtual elements which use only the data of the boundary nodes. Based on the similarity, a reduction process is developed to eliminate virtual elements and overcome the problem that the conventional reduction process cannot be directly applied. Several examples of plate bending problems with complicated geometries are reported to illustrate the applicability of the proposed approach and the results are compared with those obtained using ABAQUS software. Finally, the bending behavior of a rectangular plate with a central crack is analyzed to demonstrate that the stress intensity factor (SIF) obtained using the high-order PIEM converges faster and closer than low-order PIEM to the analytical solution.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 7260986
describes a project that uses: ABAQUS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9142193
OpenAlex ID: W3090736508
cites work: An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates
cites work: Analysis of laminated composite plates using higher-order shear deformation plate theory and node-based smoothed discrete shear gap method
cites work: Element‐free Galerkin methods
cites work: A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach
cites work: Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach
cites work: Singularities in the Solution of Laplace's Equation in Two Dimensions
cites work: On the Finite Element Method for Unbounded Regions
cites work: Q4158078
cites work: Q3897972
cites work: A coupled IEM/FEM approach for solving elastic problems with multiple cracks.
cites work: 3D IEM formulation with an IEM/FEM coupling scheme for solving elastostatic problems.
cites work: Coupled PIEM/FEM Algorithm Based onMindlin-Reissner Plate Theory for Bending Analysis ofPlates with Through-Thickness Hole
cites work: A smoothed finite element method for plate analysis
cites work: Q4847282
cites work: Q5722857
description: scientific article; zbMATH DE number 7260986