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Wanji, Chen; Cheung, Y. K.

Refined quadrilateral element based on Mindlin/Reissner plate theory. (English) Zbl 0970.74072

Int. J. Numer. Methods Eng. 47, No. 1-3, 605-627 (2000).
Summary: We propose a quadrilateral thin/thick plate element RDKQM based on Mindlin/ Reissner plate theory. The exact displacement function of Timoshenko beam is used to derive element displacements of the refined element RDKQM. The convergence for very thin plates can be ensured theoretically. Numerical examples show that the proposed model indeed possesses higher accuracy in the analysis of thin/thick plates. It can pass the patch test required for Kirchhoff thin plate elements, and, most importantly, it is free from locking phenomenon for extremely thin plates.

Cited in 24 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates

Keywords:

locking-free element; quadrilateral thin/thick plate element RDKQM; Mindlin/Reissner plate theory; displacement function; Timoshenko beam; convergence; patch test; thin plate elements
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