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Thermal Analysis of Thin Plates Using the Finite Element Method
Er G.K.; Iu V.P.; Liu X.L.
2010-08-24
Conference Name2nd International Symposium on Computational Mechanics 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science
Source PublicationAIP Conference Proceedings
Volume1233
IssuePART 1
Pages266-271
Conference DateNOV 30-DEC 03, 2009
Conference PlaceHong Kong, PEOPLES R CHINA & Macau, PEOPLES R CHINA
PublisherAMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Abstract

The isotropic thermal plate is analyzed with finite element method. The solution procedure is presented. The elementary stiffness matrix and loading vector are derived rigorously with variation principle and the principle of minimum potential energy. Numerical results are obtained based on the derived equations and tested with available exact solutions. The problems in the finite element analysis are figured out. It is found that the finite element solutions can not converge as the number of elements increases around the corners of the plate. The derived equations presented in this paper are fundamental for our further study on more complicated thermal plate analysis. 

KeywordDisplacement Finite Element Temperature Change Thermal Plate
DOIhttps://doi.org/10.1063/1.3452178
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Civil ; Engineering, Mechanical ; Mathematics, Applied ; Mechanics
WOS IDWOS:000283003800044
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Citation statistics
Document TypeConference paper
CollectionDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
AffiliationDepartment of Civil and Environmental Engineering, University of Macau, Macao SAR, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Er G.K.,Iu V.P.,Liu X.L.. Thermal Analysis of Thin Plates Using the Finite Element Method[C]:AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA,2010:266-271.
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