Simple and Efficient Tetrahedral Finite Elements With Rotational Degrees of Freedom for Solid Modeling-Reference-Cited by-同舟云学术

Simple and Efficient Tetrahedral Finite Elements With Rotational Degrees of Freedom for Solid Modeling

Published:2007-07-29 Issue:4 Volume:7 Page:382-393
ISSN:1530-9827
Container-title:Journal of Computing and Information Science in Engineering
language:en
Short-container-title:

Author:

Hua X.¹,To C. W. S.¹

Affiliation:

1. Department of Mechanical Engineering, University of Nebraska, N104 Walter Scott Engineering Center, Lincoln, NE 68588-0656

Abstract

A mixed variational principle and derivation of two simple and efficient tetrahedral finite elements with rotational degrees of freedom (DOF) are presented. Each element has four nodes. Every node has six DOF, which include three translational and three rotational DOF. Each element is capable of providing six rigid-body modes. The rotational DOF are based on the displacement formulation, while the translational DOF are hinged on the hybrid strain Hellinger–Reissner functional. Explicit expressions for stiffness matrices are obtained. Element performance has been evaluated with benchmark problems, indicating that they have superior accuracy compared with other lower-order tetrahedral elements.

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications,Software

Link

http://asmedigitalcollection.asme.org/computingengineering/article-pdf/7/4/382/5774818/382_1.pdf

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