Structure Analysis with 2D Quadrilateral Meshes Generated by a Label-Driven Subdivision

For a structural analysis using the finite element method, a hexahedral element is preferable to a tetrahedral element from the viewpoint of accuracy. However, it is very difficult to subdivide a mesh consisting of hexahedral elements if the shape of the mesh is complicated. Hence, in this paper, as a preliminary research, we use a label-driven subdivision method for a two-dimensional mesh, and show that meshes subdivided nonuniformly can guarantee as much accuracy as meshes with uniform subdivision.

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Structure Analysis with 3D Hexahedral Meshes Generated by a Label-Driven Subdivision

International Journal of Automation Technology ◽

10.20965/ijat.2018.p0113 ◽

2018 ◽

Vol 12 (1) ◽

pp. 113-122

Author(s):

Bo Liu ◽

◽

Kenjiro T. Miura ◽

Shin Usuki

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Structure Analysis ◽

Three Dimensions ◽

Two Dimensional ◽

The Finite Element Method ◽

Hexahedral Element ◽

Hexahedral Meshes ◽

Subdivision Algorithm ◽

Element Method

For structure analysis with the finite element method (FEM), the hexahedral element is preferable to the tetrahedral one from the viewpoint of accuracy. Previously, we had introduced a label-driven subdivision method for a two-dimensional mesh and showed that the meshes generated by our method were useful for structural analyses. In this study, we extend our two-dimensional algorithm to three-dimensions and verify that the meshes generated by the proposed mesh-subdivision algorithm are useful for structural analyses.

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A basic study of the accuracy estimation of structural analysis by the zooming method. (3rd report. Two dimensional elastostatic stress analysis by the finite element method).

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.54.1371 ◽

1988 ◽

Vol 54 (503) ◽

pp. 1371-1375

Author(s):

Masaaki YOKOYAMA ◽

Shigeru SASAKI

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Structural Analysis ◽

Stress Analysis ◽

Two Dimensional ◽

The Finite Element Method ◽

Basic Study ◽

Accuracy Estimation ◽

Element Method

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A simplified numerical and analytical study for assessing the seismic response of a gravity concrete lock

Revista IBRACON de Estruturas e Materiais ◽

10.1590/s1983-41952021000100004 ◽

2021 ◽

Vol 14 (1) ◽

Author(s):

Neander Berto Mendes ◽

Lineu José Pedroso ◽

Paulo Marcelo Vieira Ribeiro

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Analytical Study ◽

Two Dimensional ◽

The Finite Element Method ◽

Fluid Structure ◽

Analytical Formulation ◽

Acoustic Cavity ◽

Water Chamber ◽

Structure Problem

ABSTRACT: This work presents the dynamic response of a lock subjected to the horizontal S0E component of the El Centro earthquake for empty and completely filled water chamber cases, by coupled fluid-structure analysis. Initially, the lock was studied by approximation, considering it similar to the case of a double piston coupled to a two-dimensional acoustic cavity (tank), representing a simplified analytical model of the fluid-structure problem. This analytical formulation can be compared with numerical results, in order to qualify the responses of the ultimate problem to be investigated. In all the analyses performed, modeling and numerical simulations were done using the finite element method (FEM), supported by the commercial software ANSYS.

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Two-dimensional implementation of the finite element method with singularity correction for diffusion limited current at an unshielded disc electrode

Journal of Electroanalytical Chemistry ◽

10.1016/0022-0728(95)04008-c ◽

1995 ◽

Vol 394 (1-2) ◽

pp. 17-28 ◽

Cited By ~ 27

Author(s):

Josep Galceran ◽

David J. Gavaghan ◽

John S. Rollett

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensional ◽

The Finite Element Method ◽

Disc Electrode ◽

Diffusion Limited ◽

Limited Current ◽

Element Method

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Implementation of p and h-p Versions of the Finite Element Method

ASME 1992 International Computers in Engineering Conference: Volume 2 — Finite Element Techniques; Computers in Education; Robotics and Controls ◽

10.1115/cie1992-0114 ◽

1992 ◽

Author(s):

Ye-Chen Lai ◽

Timothy C. S. Liang ◽

Zhenxue Jia

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elastic Analysis ◽

Two Dimensional ◽

The Finite Element Method ◽

Shape Functions ◽

Linear Elastic ◽

Finite Element Software ◽

Analysis Process ◽

Adaptive Analysis

Abstract Based on hierarchic shape functions and an effective convergence procedure, the p-version and h-p adaptive analysis capabilities were incorporated into a finite element software system, called COSMOS/M. The range of the polynomial orders can be varied from 1 to 10 for two dimensional linear elastic analysis. In the h-p adaptive analysis process, a refined mesh are first achieved via adaptive h-refinement. The p-refinement is then added on to the h-version designed mesh by uniformly increasing the degree of the polynomials. Some numerical results computed by COSMOS/M are presented to illustrate the performance of these p and h-p analysis capabilities.

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