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A C° continuous linear beam/bilinear plate flexure element

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Title A C° continuous linear beam/bilinear plate flexure element
 
Creator KANT, TARUN
KULKARNI, PRADEEP B
 
Subject bending
numerical methods
strain
analysis
mathematical techniques
plates
 
Description Design of a simple C°-continuous beam/plate flexure element based on a shear-deformable theory is attempted. Emphasis is placed on development of a low order linear/bilinear element. However, past experience shows that such elements become very “stiff” especially when thickness is reduced (conforming to Kirchhoff mode). This phenomenon is called “locking.” Attempts have been made in the last several years by a few investigators to overcome this problem.
The locking problem is resolved here through a new approach. The total strain energy is split into bending and shear energies and an antiparameter in the shear energy term is introduced to avoid locking. By numerical experimentation on beam and plate problems it is shown that the present approach gives good results in the thin limit. It is also shown that the additional/spurious zero energy modes do not arise here because reduced/selective integration is avoided.
 
Publisher Elsevier
 
Date 2009-03-18T09:10:41Z
2011-11-25T19:19:47Z
2011-12-26T13:07:16Z
2011-12-27T05:55:24Z
2009-03-18T09:10:41Z
2011-11-25T19:19:47Z
2011-12-26T13:07:16Z
2011-12-27T05:55:24Z
1986
 
Type Article
 
Identifier Computers & Structures 22(3), 413-425
0045-7949
http://dx.doi.org/10.1016/0045-7949(86)90046-5
http://hdl.handle.net/10054/967
http://dspace.library.iitb.ac.in/xmlui/handle/10054/967
 
Language en