A technique to develop mesh-distortion immune finite elements

被引：53

作者：

Rajendran, S. ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2010年 / 199卷 / 17-20期

关键词：

Finite element; Mesh distortion; Element distortion; 8-Node quadrilateral; Quadratic quadrilateral; Geometric distortion; AREA COORDINATE METHOD; ISOPARAMETRIC ELEMENTS; PLANE; ACCURACY; APPROXIMATION; COMPLETENESS; FAMILY;

D O I：

10.1016/j.cma.2009.11.017

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Three sufficient conditions are proposed for an iso-parametric finite element formulation to be immune to mesh-distortion effects, even for extremely distorted element geometries for which the Jacobian geometric mapping goes negative! Illustrative element formulations are presented to test the sufficiency of the proposed conditions. Numerical results confirm that the illustrative elements are indeed capable of giving mesh-distortion immune solution for extreme mesh distortions. This has been possible partly because the stiffness integral is free of the Jacobian term in the new formulation. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：1044 / 1063

页数：20