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Computational Mechanics
Erschienen in: Computational Mechanics 6/2016

16.08.2016 | Original Paper

Higher-order hybrid stress triangular Mindlin plate element

verfasst von: Tan Li, Xu Ma, Jing Xili, Wanji Chen

Erschienen in: Computational Mechanics | Ausgabe 6/2016

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Abstract

A 6-node triangular hybrid stress element is presented for Mindlin plate in this paper. The proposed element, denoted by \(\hbox {TH6-27}\upbeta \), can pass both the zero shear stress patch test and the non-zero constant shear stress enhanced patch test and, it can be employed to analyze very thin plate. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is used successfully to derive the displacement interpolation along each side of the element. According to the equilibrium equations, an appropriate stress approximation is rationally obtained. The assumed stress field is modified by using \(27\upbeta \) instead of \(15\upbeta \) to improve the accuracy. Numerical results show that the element is free of shear locking, and reliable for thick and thin plates. Moreover, it has no spurious zero energy modes and with geometric invariance (coordinate invariance, node sequencing independence).
Vorheriger Artikel Computational modeling of Li-ion batteries
Nächster Artikel The nonconforming linear strain tetrahedron for a large deformation elasticity problem

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Metadaten
Titel
Higher-order hybrid stress triangular Mindlin plate element
verfasst von
Tan Li
Xu Ma
Jing Xili
Wanji Chen
Publikationsdatum
16.08.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2016
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-016-1322-y

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