Journal article
Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems
Journal of computational and applied mathematics, Vol.79(2), pp.215-234
1997
DOI: 10.1016/S0377-0427(97)00159-3
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.
Details
- Title: Subtitle
- Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems
- Creators
- Xiao-liang Cheng - Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong KongWeimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, United StatesHong-ci Huang - Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.79(2), pp.215-234
- DOI
- 10.1016/S0377-0427(97)00159-3
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 1997
- Academic Unit
- Mathematics
- Record Identifier
- 9983985887402771
Metrics
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