A Conforming Triangular Plane Element with Rotational Degrees of Freedom

A Conforming Triangular Plane Element with Rotational Degrees of Freedom

This paper presents a novel way to formulate the triangular plane element with rotational degrees of freedom (RDOF). The linear distribution of rotational displacement is assumed. The conforming displacement along the sides based on the rotational displacement assumption is derived, and the triangul...

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Main Authors: Xiang-Rong Fu, Ming-Wu Yuan, Chen Pu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/274709
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spelling doaj-90a24bc968a04a23ad1ff6bb310923c92020-11-24T20:57:01ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/274709274709A Conforming Triangular Plane Element with Rotational Degrees of FreedomXiang-Rong Fu0Ming-Wu Yuan1Chen Pu2Department of Civil Engineering, China Agricultural University, Beijing 100083, ChinaDepartment of Mechanics and Engineering Science, Peking University, Beijing 100871, ChinaDepartment of Mechanics and Engineering Science, Peking University, Beijing 100871, ChinaThis paper presents a novel way to formulate the triangular plane element with rotational degrees of freedom (RDOF). The linear distribution of rotational displacement is assumed. The conforming displacement along the sides based on the rotational displacement assumption is derived, and the triangular plane element TR3 for isotropic material is formulated. By using the explicit integral formulae of the triangular element, the matrices used in the proposed plane element TR3 are calculated efficiently. The benchmark examples showed thier high accuracy and high efficiency.http://dx.doi.org/10.1155/2015/274709
collection DOAJ
language English
format Article
sources DOAJ
author Xiang-Rong Fu
Ming-Wu Yuan
Chen Pu
spellingShingle Xiang-Rong Fu
Ming-Wu Yuan
Chen Pu
A Conforming Triangular Plane Element with Rotational Degrees of Freedom
Mathematical Problems in Engineering
author_facet Xiang-Rong Fu
Ming-Wu Yuan
Chen Pu
author_sort Xiang-Rong Fu
title A Conforming Triangular Plane Element with Rotational Degrees of Freedom
title_short A Conforming Triangular Plane Element with Rotational Degrees of Freedom
title_full A Conforming Triangular Plane Element with Rotational Degrees of Freedom
title_fullStr A Conforming Triangular Plane Element with Rotational Degrees of Freedom
title_full_unstemmed A Conforming Triangular Plane Element with Rotational Degrees of Freedom
title_sort conforming triangular plane element with rotational degrees of freedom
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description This paper presents a novel way to formulate the triangular plane element with rotational degrees of freedom (RDOF). The linear distribution of rotational displacement is assumed. The conforming displacement along the sides based on the rotational displacement assumption is derived, and the triangular plane element TR3 for isotropic material is formulated. By using the explicit integral formulae of the triangular element, the matrices used in the proposed plane element TR3 are calculated efficiently. The benchmark examples showed thier high accuracy and high efficiency.
url http://dx.doi.org/10.1155/2015/274709
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AT mingwuyuan aconformingtriangularplaneelementwithrotationaldegreesoffreedom
AT chenpu aconformingtriangularplaneelementwithrotationaldegreesoffreedom
AT xiangrongfu conformingtriangularplaneelementwithrotationaldegreesoffreedom
AT mingwuyuan conformingtriangularplaneelementwithrotationaldegreesoffreedom
AT chenpu conformingtriangularplaneelementwithrotationaldegreesoffreedom
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