.png){kind=icon}
返回
Additional overlapping finite elements - The pyramid and prism elements
.png){kind=icon}
PRE
AI
DOI：10.1016/j.compstruc.2022.106813.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Our objective in this paper is to present two new overlapping finite elements: a pyramid element and a prism element. These elements are useful when meshing general three-dimensional geometries in pro-viding the possibility to transition between other overlapping and traditional elements. Both new over-lapping elements are compatible with overlapping brick and tetrahedral elements, and when used as coupling elements also with the traditional finite elements. We theoretically formulate the two new overlapping finite elements, show that only the rigid body modes correspond to zero eigenvalues (hence the elements contain no spurious zero energy mode), show that the patch test is passed, and test the ele-ments for their convergence behavior and condition numbers. We also show that the elements are quite insensitive to element distortions and revisit the imposition of displacement boundary conditions. Finally, we give some illustrative applications using the AMORE scheme in which also the new overlap-ping elements are employed.(c) 2022 Elsevier Ltd. All rights reserved.
Keyword:
Finite elements
Overlapping elements
Pyramid
Prism
Stability and accuracy
AMORE scheme
期刊
C
IF:
4.8
论文数:
6.2K
被引数:
1.7W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏分享收藏分享收藏分享收藏
查看更多内容