scholarly journals Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model

2012 ◽  
Vol 29 (1) ◽  
pp. 40-63 ◽  
Author(s):  
Lourenço Beirão da Veiga ◽  
David Mora ◽  
Rodolfo Rodríguez
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Mixed Finite Element ◽  
Bending Moment ◽  
Mixed Finite Element Method ◽  
Mindlin Plate ◽  
Plate Model ◽  
Element Method

ON THE CONVERGENCE OF A TRIANGULAR MIXED FINITE ELEMENT METHOD FOR REISSNER–MINDLIN PLATES

1996 ◽  
Vol 06 (03) ◽  
pp. 339-352 ◽  
Author(s):  
RICARDO G. DURÁN ◽  
ELSA LIBERMAN
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Experiments ◽  
Mixed Finite Element ◽  
Plate Thickness ◽  
Mixed Finite Element Method ◽  
Mindlin Plate ◽  
Optimal Order ◽  
The Difference ◽  
Element Method

We analyze the convergence of a mixed finite element method introduced by Zienkiewicz, Taylor, Papadopoulos and Oñate for the Reissner–Mindlin plate model. In order to do this, we compare it with a method which is known to be convergent with optimal order uniformly in the plate thickness. We show that the difference between the solutions of both methods is of higher order than the error. In particular the method does not present locking and is optimal order convergent. We also present several numerical experiments which confirm the similar behavior of both methods.

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