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

作者：Lanoye E; Dormieuk L; Kondo D^*

来源：Theoretical and Applied Fracture Mechanics, 2014, 74: 116-125.

DOI：10.1016/j.tafmec.2014.08.006

• Isotropic elastic damage
• Quasi brittlematerial
• Microfracture
• Exact solution
• Cylindrical bar under torsion
• Finite Elements computation

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.

• 出版日期2014-12