Record number :
1547927
Title of article :
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems
Author/Authors :
Cheng، نويسنده , , Xiao-liang and Han، نويسنده , , Weimin and Huang، نويسنده , , Hongci Huang، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1997
Pages :
20
From page :
215
To page :
234
Abstract :
In this paper some finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems are discussed. To avoid locking phenomenon, the reduced integration technique is used and a bubble function space is added to increase the solution accuracy. The method for Timoshenko beam is aligned with the Petrov-Galerkin formulation derived in Loula et al. (1987) and can be naturally extended to solve the circular arch and the Reissner-Mindlin plate problems. Optimal order error estimates are proved, uniform with respect to the small parameters. Numerical examples for the circular arch problem shows that the proposed method compares favorably with the conventional reduced integration method.
Keywords :
Bubble function space , Locking phenomenon , Circular arch problem , Finite element method , Reissner-Mindlin plate problem , Reduced integration technique , Timoshenko beam problem
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
1997
Link To Document :
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