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Modélisation de la rupture par forces cohésives : formulations et exemples d'applications

Abstract : In the context of industrial applications, the linear fracture mechanics theory is not sufficient to account for various aspects of the crack propagation and it becomes necessary to use more sophisticated models like cohesive force models. The goal of the present thesis is to develop such a model in order to account for all the process of the crack propagation, from the nucleation in a sound structure to the final failure of that structure. Specifically, we use Dugdale model which contains both the concept of critical stress and of internal length. The presence of a critical stress allows us to account for the nuckleation of a crack even if the body is initially sound, in contrast with Griffith theory which require the existence of preexisting cracks. The presence of an internal length allows us to account for pertinent scale effects, once again in contrast with Griffith theory in which the predicted scale effects are only correct for large specimen, not for small specimen. This approach is used to describe the full process of cracking in several cases, either by purely analytical methods when the geometry is simple enough, or by the finite element method with the code Cast3M in the case of complex geometry.
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Fidèle Massamba. Modélisation de la rupture par forces cohésives : formulations et exemples d'applications. Mécanique des matériaux [physics.class-ph]. Université Pierre et Marie Curie - Paris VI, 2016. Français. ⟨NNT : 2016PA066616⟩. ⟨tel-01658919⟩

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