A triangular plate bending element, based on the generalized conforming element theory, has been formulated. The variations of the rotation and shear strain along each side are determined based on Timoshenko's beam theory. The rotation and shear strain ®elds within the element are then obtained usin
Refined quadrilateral element based on Mindlin/Reissner plate theory
✍ Scribed by Chen Wanji; Y. K. Cheung
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 202 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
A new quadrilateral thin/thick plate element RDKQM based on the Mindlin/Reissner plate theory is proposed. The exact displacement function of the Timoshenko's beam is used to derive the element displacements of the re"ned element RDKQM. The convergence for the very thin plate can be ensured theoretically. Numerical examples presented show that the proposed model indeed possesses higher accuracy in the analysis of thin/thick plates. It can pass the patch test required for the Kirchho! thin plate elements, and most important of all, it is free from locking phenomenon for extremely thin plates.
📜 SIMILAR VOLUMES
In this paper a uni®ed ®nite element model that contains the Euler±Bernoulli, Timoshenko and simpli®ed Reddy third-order beam theories as special cases is presented. The element has only four degrees of freedom, namely de¯ection and rotation at each of its two nodes. Depending on the choice of the e