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Article Dans Une Revue Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Année : 2018

Higher-order beam model with eigenstrains: theory and illustrations

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Grégoire Corre
  • Fonction : Auteur
  • PersonId : 1027022
Arthur Lebée
Karam Sab
Mohammed Khalil Ferradi
  • Fonction : Auteur
Xavier Cespedes
  • Fonction : Auteur

Résumé

A higher-order beam model based on the asymptotic expansion method was suggested by Ferradi et al.. Introducing new degrees of freedom specific to the applied loads into the kinematics of the beam, this model yields fast and accurate results. The present paper focuses on the extension of this model to the case of arbitrary eigenstrains expressed in a separate form between the longitudinal coordinate and the in-section coordinates. The asymptotic expansion procedure is recalled and the derivation of a higher-order beam model performed. The beam model is interpolated with NURBS. The case of a bridge deck heated on a localized area is studied. A second case study of a prestressed cantilever beam is then investigated. The results of the higher-order beam model are compared to a 3D solution in each example. The performances of the beam model appears to be accurate and very time-efficient.
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Dates et versions

hal-01709881 , version 1 (15-02-2018)

Identifiants

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Grégoire Corre, Arthur Lebée, Karam Sab, Mohammed Khalil Ferradi, Xavier Cespedes. Higher-order beam model with eigenstrains: theory and illustrations. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2018, ⟨10.1002/zamm.201700180⟩. ⟨hal-01709881⟩
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