Development of the Large Increment Method in Analysis for Thin and Moderately Thick Plates

Many displacement-based quadrilateral plate elements based on Mindlin-Reissner plate theory have been proposed to analyze the thin and moderately thick plate problems. However, numerical inaccuracies of some elements appear since the presence of shear locking and spurious zero energy modes for thin...

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Published inShanghai jiao tong da xue xue bao Vol. 19; no. 3; pp. 265 - 273
Main Author 贾红学 龙丹冰 刘西拉
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai Jiaotong University Press 01.06.2014
Subjects
Architecture
Bending
Computer Science
Convergence
Displacement
Electrical Engineering
Engineering
Life Sciences
Locking
Materials Science
Mathematical models
Mindlin plates
Shear
Thin plates
large increment method (LIM)
shear locking
O 246, TU 311.4
Mindlin-Reissner plate theory
spurious zero energy modes
displacement-based quadrilateral plate element
Online AccessGet full text
ISSN1007-1172
1995-8188
DOI10.1007/s12204-014-1498-2

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Summary:Many displacement-based quadrilateral plate elements based on Mindlin-Reissner plate theory have been proposed to analyze the thin and moderately thick plate problems. However, numerical inaccuracies of some elements appear since the presence of shear locking and spurious zero energy modes for thin plate problems. To overcome these shortcomings, we employ the large increment method （LIM） for the analyses of the plate bending problems, and propose a force-based 8-node quadrilateral plate （8NQP） element which is based on Mindlin- Reissner plate theory and has no extra spurious zero energy mode. Several benchmark plate bending problems are presented to illustrate the accuracy and convergence of the plate element by comparing with the analytical solutions and displacement-based plate elements. The results show that the 8-node plate element produces fast convergence and accurate stress distributions in both the moderately thick and thin plate bending problems. The plate element is insensitive to mesh distortion and it can avoid the shear locking for thin plate analysis.
Bibliography:31-1943/U
Many displacement-based quadrilateral plate elements based on Mindlin-Reissner plate theory have been proposed to analyze the thin and moderately thick plate problems. However, numerical inaccuracies of some elements appear since the presence of shear locking and spurious zero energy modes for thin plate problems. To overcome these shortcomings, we employ the large increment method （LIM） for the analyses of the plate bending problems, and propose a force-based 8-node quadrilateral plate （8NQP） element which is based on Mindlin- Reissner plate theory and has no extra spurious zero energy mode. Several benchmark plate bending problems are presented to illustrate the accuracy and convergence of the plate element by comparing with the analytical solutions and displacement-based plate elements. The results show that the 8-node plate element produces fast convergence and accurate stress distributions in both the moderately thick and thin plate bending problems. The plate element is insensitive to mesh distortion and it can avoid the shear locking for thin plate analysis.
displacement-based quadrilateral plate element, Mindlin-Reissner plate theory, shear locking, spurious zero energy modes, large increment method （LIM）
JIA Hong-xue, LONG Dan-bing, LIU Xi-la （1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200240, China; 2. Department of Architectural Engineering, Southwest Jiaotong University, Chengdu 610031, China 3. Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China）
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ISSN:1007-1172
1995-8188
DOI:10.1007/s12204-014-1498-2