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Paper Information

Journal:   ASIAN JOURNAL OF CIVIL ENGINEERING (BUILDING AND HOUSING)   January 2001 , Volume 2 , Number 1; Page(s) 43 To 56.
 
Paper: 

RELIABLE ANALYSIS OF SKEWED CONCRETE PLATES

 
 
Author(s):  KASPAREK E., PAHL P.J.*
 
* Department of Civil Engineering, Technical University of Berlin, Germany
 
Abstract: 

The theory of plate bending contains contradictions such as those introduced with the Kirchhoff hypothesis. These contradictions affect the convergence of the finite element analysis of plates with decreasing mesh size. For square plates, the bending moment under a point load does not converge, whereas the corner forces do converge.

A new triangular finite element with C1-continuity is developed in this paper. It is used to study the influence of the contradictions in plate theory on the finite element analysis of skewed plates. The new element reduces the storage space for finite element analysis, as compared to an analysis of equal accuracy with the standard element, by a factor 8 and the run time by a factor 16. In addition it assures convergence with decreasing mesh size within the limitations of plate theory. It is shown that the finite element analysis of the corner force and the bending moments at obtuse corners of skewed plates does not converge. The overall behavior of the plate is not affected by this divergence.

 
Keyword(s): PLATE ANALYSIS, KIRCHHOFF HYPOTHESIS, C1-CONTINUITY, CONVERGENCE, DIVERGENCE,ACCURACY,SKEWED PLATES
 
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