Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 9, Number 5, May 2000 , pages 433-448 DOI: https://doi.org/10.12989/sem.2000.9.5.433 |
|
|
|
Serendipity and bubble plus hierarchic finite elements for thin to thick plates |
||
Della Croce L, Scapolla T
|
||
| Abstract | ||
|
In this paper we deal with the numerical solution of the Reissner-Mindlin plate problem with the use of high order finite elements. In previous papers we have solved the problem using approximation spaces of Serendipity type, in order to minimize the number of internal degrees of freedom. Since further numerical experiences have evidenced that the addition of bubble functions improved the quality of the results we have modified the previous family of hierarchic finite elements, adding internal degrees of freedom, to make a systematic analysis of their performance. Of course, more degrees of freedom are introduced. Nonetheless the numerical results indicate that the reduction of the error outnumbers the increase of degrees of freedom and therefore bubble plus elements are preferable. | ||
| Key Words | ||
| Reissner-Mindlin plate, conforming hierarchic finite elements, bubble functions | ||
| Address | ||
| Della Croce L, Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy | ||