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Computational Mechanics
Erschienen in: Computational Mechanics 4/2019

23.08.2018 | Original Paper

Generalized modal element method: part II—application to eight-node asymmetric and symmetric solid-shell elements in linear analysis

verfasst von: P. Q. He, Q. Sun, K. Liang

Erschienen in: Computational Mechanics | Ausgabe 4/2019

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Abstract

In this paper, two eight-node asymmetric solid-shell elements are firstly presented to illustrate the use of traditional finite element technique in GMEM for constructing new finite element formulations. In these two elements, the analytical method is utilized to derive the displacement functions of the basic in-plane modes, which makes the resulted elements free of mesh distortions for these modes. For out-of-plane modes, the Mindlin plate elements CQUAD4 and QTS4 are integrated to calculate the corresponding modal displacement vectors and modal force vectors of solid-shell elements. As a result, the displacement functions of the plate-bending element range up to three orders of magnitude. On the other hand, since the asymmetric elements cannot be applied to frequency analysis, two symmetric solid-shell elements are proposed by using a modal transformation method, in which the in-plane modes are derived from the previous proposed symmetric solid element S-MEM8S and the out-of-plane modes are constructed by plate elements CQUAD4 and QTS4, respectively. Various benchmarks including linear static and frequency analysis are presented to demonstrate the accuracy and efficiency of the presented elements.
Vorheriger Artikel Generalized modal element method: part-I—theory and its application to eight-node asymmetric and symmetric solid elements in linear analysis

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Metadaten
Titel
Generalized modal element method: part II—application to eight-node asymmetric and symmetric solid-shell elements in linear analysis
verfasst von
P. Q. He
Q. Sun
K. Liang
Publikationsdatum
23.08.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2019
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1622-5

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