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Title: Shear jump in 'plate bending' structures and other problems
Authors: Cheng, YM 
Law, CW
Keywords: Finite element
Shear jump
Shear locking
Thick plate
Thin plate
Issue Date: 2008
Publisher: Hong Kong Institution of Engineers
Source: HKIE transactions, 2008, v. 15, no. 3, p. 1-8 How to cite?
Journal: HKIE transactions 
Abstract: Reinforced concrete structures such as pile caps, raft footings and transfer plates are thick bending plate structures which can conveniently be analysed and designed by the finite element method. Based on the experience of many engineers and the previous studies by the authors, it is found that there are various limitations to the commonly used elements and programmes for thick plate problems which require special attention. With reference to some recent surprising results from commercial programmes, the accuracy and efficiency of some popular elements for problems with highly irregular mesh are studied, and the phenomenon of the surprising 'shear jump' is investigated in this paper. It is found that even though many popular programmes can give good results to the 'standard'problems with regular finite element mesh, the accuracy of these programmes for irregular meshes needs further investigation and study. A range of mesh of varying densities, element sizes and thickness-to-plate length ratios are used to test the thick plate problems under irregular mesh, and the results indicate that 'shear jump' is mostly related to a mesh with a mixture of triangular and quadrilateral elements. It is recommended that greater care must be exercised when an irregular mesh is generated and used for analysis, and engineers should examine carefully the output results before the reinforcement design.
ISSN: 1023-697X
EISSN: 2326-3733
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