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 theoreti
A triangular element based on Reissner-Mindlin plate theory
โ Scribed by Panayiotis Papadopoulos; Robert L. Taylor
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 833 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0029-5981
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โฆ Synopsis
Abstract
A new triangular plate bending element based on the ReissnerโMindlin theory is developed through a mixed formulation emanating from the HuโWashizu variational principle. A main feature of the formulation is the use of a linear transverse shear interpolation scheme with discrete constraint conditions on the edges. The element is shown to avoid shear locking, converge to the Kirchhoff plate theory as the plate thickness approaches zero, and generally exhibit excellent behaviour on a series of standard problems and tests.
๐ SIMILAR VOLUMES
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 ยฎelds within the element are then obtained usin