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Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems

✍ Scribed by Xiao-liang Cheng; Weimin Han; Hong-ci Huang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
870 KB
Volume
79
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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