École Nationale Supérieure de
Techniques Avancées

Résumé

This work targets the analysis of the mechanical fields in the vicinity of some kind of singularities using the asymptotic approach in the scope of large deformations. The category of the singularities studied, can be puted in the set of bi-material composite presenting a notch. We worked here on the case of the antiplane shear transformation alone using the Neo-Hookean model, followed by a complex transformation study coupling an anti-plane transformation with another in-plane transformation in the case of the Mooney-Rivlin model, where we determined the asymptotic form of the displacement field and the Cauchy stress tensor components. Also, we intended to make an asymptotic study on antiplane transformation without going deeper in details in the case of the Kelvin Voigt model in large deformation, where we prooved that the singularity orders are independent of the time variable.