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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 10/2022

26.07.2022 | Original

An elasto-plastic finite element for the analysis of planar beams with rectangular cross section

verfasst von: Mihai Nedelcu

Erschienen in: Archive of Applied Mechanics | Ausgabe 10/2022

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Abstract

The following paper presents an original finite element formulation for the elasto-plastic analysis of planar homogeneous isotropic beams. The elastic-perfectly plastic material behaviour is considered. The approach is based on innovative shape functions able to capture the formation of elasto-plastic regions at the ends of the beam element. While the proposed shape functions can theoretically handle any cross section, in this paper the formulation is developed only for rectangular cross sections. Linear geometric behaviour is considered. The formulation is validated by comparisons with the upper bound method of plastic limit analysis in terms of ultimate loading and with simulations using shell finite element analyses in terms of load–displacement response and development of the plastic regions.
Vorheriger Artikel Optimization of tuned mass damper inerter for a high-rise building considering soil-structure interaction
Nächster Artikel Micromechanical modeling of the biaxial behavior of strain-induced crystallizable polyethylene terephthalate-clay nanocomposites

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Fußnoten
1
The application is available from the author upon request.
 
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Metadaten
Titel
An elasto-plastic finite element for the analysis of planar beams with rectangular cross section
verfasst von
Mihai Nedelcu
Publikationsdatum
26.07.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 10/2022
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-022-02218-x

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Letter to the Editor

Correction to: G. Atefi, Quer angeströmter drehender Zylinder bei kleinen Reynoldszahlen und bei Schlupf, Arch. Appl. Mech. 61, 488–502 (1991)

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