New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method

The Integrated Force Method (IFM) is a novel matrix formulation developed for analyzing the civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium...

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Main Authors: Dhananjaya, H.R., Nagabhushanam, J., Pandey, P.C., Jumaat, Mohd Zamin
Format: Article
Published: Structural Engineering and Mechanics 2010
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Online Access:http://eprints.um.edu.my/6064/
http://www.scopus.com/inward/record.url?eid=2-s2.0-78649366241&partnerID=40&md5=7fa833768da903f0ebe2289af0aaebc1
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spelling my.um.eprints.60642020-02-05T04:28:21Z http://eprints.um.edu.my/6064/ New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method Dhananjaya, H.R. Nagabhushanam, J. Pandey, P.C. Jumaat, Mohd Zamin TA Engineering (General). Civil engineering (General) The Integrated Force Method (IFM) is a novel matrix formulation developed for analyzing the civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. This paper presents a new 12-node serendipity quadrilateral plate bending element MQP12 for the analysis of thin and thick plate problems using IFM. The MindlinReissner plate theory has been employed in the formulation which accounts the effect of shear deformation. The performance of this new element with respect to accuracy and convergence is studied by analyzing many standard benchmark plate bending problems. The results of the new element MQP12 are compared with those of displacement-based 12-node plate bending elements available in the literature. The results are also compared with exact solutions. The new element MQP12 is free from shear locking and performs excellent for both thin and moderately thick plate bending situations. Structural Engineering and Mechanics 2010 Article PeerReviewed Dhananjaya, H.R. and Nagabhushanam, J. and Pandey, P.C. and Jumaat, Mohd Zamin (2010) New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method. Structural Engineering and Mechanics, 36 (5). pp. 625-642. ISSN 1225-4568 http://www.scopus.com/inward/record.url?eid=2-s2.0-78649366241&partnerID=40&md5=7fa833768da903f0ebe2289af0aaebc1
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Dhananjaya, H.R.
Nagabhushanam, J.
Pandey, P.C.
Jumaat, Mohd Zamin
New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
description The Integrated Force Method (IFM) is a novel matrix formulation developed for analyzing the civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. This paper presents a new 12-node serendipity quadrilateral plate bending element MQP12 for the analysis of thin and thick plate problems using IFM. The MindlinReissner plate theory has been employed in the formulation which accounts the effect of shear deformation. The performance of this new element with respect to accuracy and convergence is studied by analyzing many standard benchmark plate bending problems. The results of the new element MQP12 are compared with those of displacement-based 12-node plate bending elements available in the literature. The results are also compared with exact solutions. The new element MQP12 is free from shear locking and performs excellent for both thin and moderately thick plate bending situations.
format Article
author Dhananjaya, H.R.
Nagabhushanam, J.
Pandey, P.C.
Jumaat, Mohd Zamin
author_facet Dhananjaya, H.R.
Nagabhushanam, J.
Pandey, P.C.
Jumaat, Mohd Zamin
author_sort Dhananjaya, H.R.
title New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
title_short New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
title_full New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
title_fullStr New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
title_full_unstemmed New twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
title_sort new twelve node serendipity quadrilateral plate bending element based on mindlin-reissner theory using integrated force method
publisher Structural Engineering and Mechanics
publishDate 2010
url http://eprints.um.edu.my/6064/
http://www.scopus.com/inward/record.url?eid=2-s2.0-78649366241&partnerID=40&md5=7fa833768da903f0ebe2289af0aaebc1
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score 13.209306