A radial boundary node method for two-dimensional elastic analysis

2003 ◽  
Vol 27 (8) ◽  
pp. 853-862 ◽  
Author(s):  
Hua Xie ◽  
Toyoaki Nogami ◽  
Jianguo Wang
Keyword(s):  
Elastic Analysis ◽  
Two Dimensional ◽  
Boundary Node

scholarly journals Two Dimensional Elastic Analysis for Asphalt Mixture on Steel Plate.

1999 ◽  
pp. 303-314
Author(s):  
Shoichi AKIBA ◽  
Yuzou KURIYAGAWA ◽  
Sumio G. NOMACHI ◽  
Narioki AKIYAMA
Keyword(s):  
Steel Plate ◽  
Asphalt Mixture ◽  
Elastic Analysis ◽  
Two Dimensional

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

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.

An EFG-SBM based partitioning algorithm for two-dimensional elastic analysis of cyclically symmetrical structures

2015 ◽  
Vol 32 (2) ◽  
pp. 452-472 ◽  
Author(s):  
Xiaofeng Guo ◽  
Yiqian He ◽  
Haitian Yang
Keyword(s):  
Computational Cost ◽  
Elastic Analysis ◽  
Two Dimensional ◽  
Cyclic Symmetry ◽  
Content Type ◽  
System Equations ◽  
Partitioning Algorithm ◽  
Displacement Constraints ◽  
Element Free ◽  
Symmetric Structures

Purpose – The purpose of this paper is to exploit the cyclic symmetry to reduce the computational expense of scaled boundary method (SBM) which may cumber its further application. Design/methodology/approach – A partitioning EFG-SB (Element-free Galerkin-SB) algorithm is proposed for the two-dimensional elastic analysis of cyclically symmetric structures. Findings – By utilizing the cyclic symmetry and partitioning algorithm, the whole computational cost can be significantly reduced. Three numerical examples are given to illustrate the advantages of the proposed algorithm. Originality/value – It is proved that the matrices of eigenvalue and system equations of EFG-SBM for cyclically symmetric structures are block-circulant so long as a kind of symmetry-adapted reference coordinate system is adopted. No matter whether displacement constraints are cyclically symmetric or not, the partition is available for the eigenvalue equations. Therefore the major computational cost can be saved via the proposed partitioning algorithm. This paper provides an efficient algorithm for the two-dimensional elastic analysis of cyclically symmetric structures using EFG-SBM. A higher computing efficiency can be expected since the proposed partitioning algorithm facilitates parallel processing.

scholarly journals Application of Two Dimensional Extended Boundary Node Method to Potential Problem

2010 ◽  
Vol 5 ◽  
pp. S2108-S2108
Author(s):  
Ayumu SAITOH ◽  
Taku ITOH ◽  
Atsushi KAMITANI ◽  
Nobuyuki MATSUI ◽  
Hiroaki NAKAMURA
Keyword(s):  
Potential Problem ◽  
Two Dimensional ◽  
Boundary Node
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