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2000

Locking-free finite elements for the Reissner-Mindlin plate

13 years 10 months ago
Locking-free finite elements for the Reissner-Mindlin plate
Two new families of Reissner-Mindlin triangular finite elements are analyzed. One family, generalizing an element proposed by Zienkiewicz and Lefebvre, approximates (for k 1) the transverse displacement by continuous piecewise polynomials of degree k + 1, the rotation by continuous piecewise polynomials of degree k + 1 plus bubble functions of degree k + 3, and projects the shear stress into the space of discontinuous piecewise polynomials of degree k. The second family is similar to the first, but uses degree k rather than degree k + 1 continuous piecewise polynomials to approximate the rotation. We prove that for 2 s k + 1, the L2 errors in the derivatives of the transverse displacement are bounded by Chs and the L2 errors in the rotation and its derivatives are bounded by Chs min(1, ht-1) and Chs-1 min(1, ht-1), respectively, for the first family, and by Chs and Chs-1, respectively, for the second family (with C independent of the mesh size h and plate thickness t). These estimat...
Richard S. Falk, Tong Tu
Added 19 Dec 2010
Updated 19 Dec 2010
Type Journal
Year 2000
Where MOC
Authors Richard S. Falk, Tong Tu
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