arrow
返回

Finite Block Method in elasticity

delete2014-09-01
delete66
PRE
AI
P
P.H. Wen *
P
Peng Cao
T
Theodosios Korakianitis
DOI:10.1016/j.enganabound.2014.05.006delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
A new point collocation algorithm named Finite Block Method (FBM), which is based on the one-dimensional differential matrix is developed for 2D and 3D elasticity problems in this paper. The main idea is to construct the first order one-dimensional differential matrix for one block by using Lagrange series with uniformly distributed nodes. The higher order derivative matrix for one-dimensional problem is obtained. By introducing the mapping technique, a block of quadratic type is transformed from Cartesian coordinate(xyz) to normalised coordinate (xi eta zeta) with 8 seeds or 20 seeds for two or three dimensions. The differential matrices in physical domain are determined from that in the normalised transformed system. Several 2D and 3D examples are given and comparisons have been made with either analytical solutions or the boundary element method to demonstrate the accuracy and convergence of this method. (C) 2014 Elsevier Ltd. All rights reserved.
Keyword:
Finite Block Method
1D mapping differential matrix
Lagrange series expansion
Elasticity
Functionally graded media
Anisotropy
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Engineering Analysis with Boundary Elements 封面图
Engineering Analysis with Boundary Elements
IF:
4.1
论文数:
5.8K
被引数:
9.4K

机构

C
Central South University
学者数:
10.0W
论文数: 7.2W
被引数: 10.9W
Q
Queen Mary University London
学者数:
2.0W
论文数: 1.5W
被引数: 327
U
university of london
学者数:
21.5W
论文数: 19.7W
被引数: 305
学者 查看更多机构
引用论文

引用论文

err分享
err收藏
Simple zoom-lens digital camera calibration method based on EXIF
err2004-04-16
err0
PREAI
errXiaobing Sun; Jizhou Sun; Jiawan Zhang; Mingchu Li
err分享
err收藏
没有更多内容