A general theorem presented in Part I of the paper, specifying necessary and sufficient conditions for the equivalence of the mode decomposition approach and the Hellinger-Reissner mixed method, is used to examine some of the mode decomposition finite elements. The existence of equivalent mixed elements based on the Hellinger-Reissner formulation is established for the class of C0 beam elements and a C1 curved beam element. It is shown that, under the assumptions of the theorem presented in Part I, equivalent Hellinger-Reissner mixed elements do not exist for the existing mode decomposition plate elements.
|Original language||English (US)|
|Number of pages||20|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|State||Published - Nov 1986|
Bibliographical noteFunding Information:
*The support of the Air Force Office of Scientific Research under Grant F-49620-82-K-0013 acknowledged.