INFLUENCE OF FLOW RULE AND INERTIA ON VOID GROWTH IN A RATE SENSITIVE MATERIAL

Résumé
La déformation d'une cavité ellipsoïdale de révolution dans une matrice infinie soumise à une sollicitation dynamique est étudiée. On montre l'effet stabilisant sur la croissance de l'endommagement de la vitesse de traction et des effets d'inertie dans le domaine dynamique ([MATH]).

Abstract
The growth and deformation of a spheroidal void in an infinite viscous matrix is addressed. In the case of a linearly viscous (newtonian) matrix ([MATH]), an exact solution is obtained. On the basis of this solution the case of a power law viscoplastic matrix ([MATH]) is dealt with by a variational approach. Finally, the Galerkine method is used to take into account inertia effects. This work shows the anisotropy of damage and the stabilizing effect of the remote strain rate [MATH] for a material exhibiting the linear flow rule [MATH] as well as the stabilizing effect of the inertia forces.