Loading...
Please wait, while we are loading the content...
Locking-free Reissner-Mindlin elements without reduced integration (2006)
| Content Provider | CiteSeerX |
|---|---|
| Author | Arnold, Douglas N. Brezzi, Franco Falk, Richard S. Marini, L. Donatella |
| Abstract | In a recent paper of Arnold, Brezzi, and Marini [4], the ideas of discontinuous Galerkin methods were used to obtain and analyze two new families of locking free finite element methods for the approximation of the Reissner–Mindlin plate problem. By following their basic approach, but making different choices of finite element spaces, we develop and analyze other families of locking free finite elements that eliminate the need for the introduction of a reduction operator, which has been a central feature of many locking-free methods. For k ≥ 2, all the methods use piecewise polynomials of degree k to approximate the transverse displacement and (possibly subsets) of piecewise polynomials of degree k − 1 to approximate both the rotation and shear stress vectors. The approximation spaces for the rotation and the shear stress are always identical. The methods vary in the amount of interelement continuity required. In terms of smallest number of degrees of freedom, the simplest method approximates the transverse displacement with continuous, piecewise quadratics and both the rotation and shear stress with rotated linear Brezzi-Douglas-Marini elements. |
| File Format | |
| Journal | COMPUT. METHODS APPL. MECH. ENGRG |
| Language | English |
| Publisher Date | 2006-01-01 |
| Access Restriction | Open |
| Subject Keyword | Locking-free Reissner-mindlin Element Shear Stress Piecewise Polynomial Transverse Displacement Different Choice Free Finite Element Method Reduction Operator Discontinuous Galerkin Method Basic Approach Central Feature Reissner Mindlin Plate Problem Free Finite Element New Family Many Locking-free Method Approximation Space Finite Element Space Interelement Continuity Shear Stress Vector Recent Paper Piecewise Quadratic Rotated Linear Brezzi-douglas-marini Element |
| Content Type | Text |
| Resource Type | Article |
