TY - JOUR
T1 - On the equivalence of mode decomposition and mixed finite elements based on the hellinger-reissner principle. Part II
T2 - Applications
AU - Stolarski, H.
AU - Belytschko, T.
N1 - Funding Information:
*The support of the Air Force Office of Scientific Research under Grant F-49620-82-K-0013 acknowledged.
PY - 1986/11
Y1 - 1986/11
N2 - 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.
AB - 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.
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U2 - 10.1016/0045-7825(86)90150-7
DO - 10.1016/0045-7825(86)90150-7
M3 - Article
AN - SCOPUS:0022805967
SN - 0045-7825
VL - 58
SP - 265
EP - 284
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 3
ER -