An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal's theorem

Summary Among numerous finite element techniques, few models can perfectly (without any numerical problems) break through MacNeal's theorem: any 4‐node, 8‐DOF membrane element will either lock in in‐plane bending or fail to pass a C0 patch test when the element's shape is an isosceles trap...

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Veröffentlicht in:	International journal for numerical methods in engineering 2015-08, Vol.103 (7), p.469-500
Hauptverfasser:	Cen, Song, Zhou, Pei-Lei, Li, Chen-Feng, Wu, Cheng-Jin
Format:	Artikel
Sprache:	eng
Schlagworte:	4-node plane membrane element analytical trial function Breaking finite element MacNeal's theorem Mathematical analysis Mathematical models Membranes Patch tests Planes Quadrilaterals the second form of quadrilateral area coordinates (QACM-II) Theorems unsymmetric formulation
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