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Engineering with Computers
Erschienen in: Engineering with Computers 4/2020

16.05.2019 | Original Article

Three stress-based triangular elements

verfasst von: Mohammad Rezaiee-Pajand, Arash Karimipour

Erschienen in: Engineering with Computers | Ausgabe 4/2020

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Abstract

To obtain proper stresses , three new triangular elements are formulated in this study. First, a complementary energy functional is used within an element for the analysis of plane problems. In this energy manifestation, the Airy stress function will be applied as a functional variable. Then, some basic analytical solutions are assigned for the stress functions. These trial functions are matched with each element number of degrees of freedom. The result is a number of equations with anonymous constants. Subsequently, according to the principle of minimum complementary energy, the unknown constants can be expressed in terms of displacements. Finally, this system can be rewritten in terms of the nodal displacement. In this way, three new triangular elements are formulated. To validate the results, extensive numerical studies are performed. The findings clearly demonstrate accuracies of structural displacements as well as stresses.
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Metadaten
Titel
Three stress-based triangular elements
verfasst von
Mohammad Rezaiee-Pajand
Arash Karimipour
Publikationsdatum
16.05.2019
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2020
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00765-6

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