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A micromechanical-based damage analysis of a cylindrical bar under torsion: theoretical results, Finite Elements verification and application

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2014
auteur(s) Lanoye Emma; Dormieux Luc; Kondo Djimédo
journal (abréviation) Theoretical and Applied Fracture Mechanics (Theor Appl Fract Mec)
volume (numéro) 74
  
pages 116 – 125
résumé We first present exact closed-form solutions to the problem of a cylindrical bar subjected to a torsion loading. The bar is made of a material whose behavior is modeled by means of a class of micromechanically based isotropic elastic damage models. It is shown that under an increasing torsion, the bar exhibits a global softening regime related to its progressive deterioration. The paper also provides explicit expressions of the mechanical fields as well as of the damage distribution in the bar. A careful attention is given to the response during an unloading step. Finally, after implementing the damage models in a Finite Element software, we simulate the bar response under the same torsion loading. Interestingly a full agreement is noted between the theoretical predictions and the numerical results, also in the softening regime. Finally, the proposed models are applied to a gray cast iron; the predictions compare well to experimental data.
mots clés Isotropic elastic damage; Quasi brittle material; Microfracture; Exact solution; Cylindrical bar under torsion; Finite elements computation; Numerical validation
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