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Plate Finite Element with Physical Shape Functions: Correctness of the Formulation

Auteur(s):

Médium: article de revue
Langue(s): anglais
Publié dans: Archives of Civil Engineering, , n. 3, v. 63
Page(s): 19-37
DOI: 10.1515/ace-2017-0026
Abstrait:

The formulation of a plate finite element with so called ‘physical’ shape functions is revisited. The derivation of the ‘physical’ shape functions is based on Hencky-Bolle theory of moderately thick plates. The considered finite element was assessed in the past, and the tests showed that the solution convergence was achieved in a wide range of thickness to in-plane dimensions ratios. In this paper a holistic correctness assessment is presented, which covers three criteria: the ellipticity, the consistency and the inf-sup conditions. Fulfilment of these criteria assures the existence of a unique solution, and a stable and optimal convergence to the correct solution. The algorithms of the numerical tests for each test case are presented and the tests are performed for the considered formulation. In result it is concluded that the finite element formulation passes every test and therefore is a good choice for modeling plate structural elements regardless of their thickness.

Structurae ne peut pas vous offrir cette publication en texte intégral pour l'instant. Le texte intégral est accessible chez l'éditeur. DOI: 10.1515/ace-2017-0026.
  • Informations
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  • Reference-ID
    10476774
  • Publié(e) le:
    25.11.2020
  • Modifié(e) le:
    25.11.2020
 
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