On the equivalence of mode decomposition and mixed finite elements based on the hellinger-reissner principle. Part II: Applications

H. Stolarski, T. Belytschko

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Abstract

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 languageEnglish (US)
Pages (from-to)265-284
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Volume58
Issue number3
DOIs
StatePublished - Nov 1986

Bibliographical note

Funding Information:
*The support of the Air Force Office of Scientific Research under Grant F-49620-82-K-0013 acknowledged.

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