A Noether s theorem in granular materials

Mirko D. Vukobrat

The aim of this work is to extend the study of the conservation laws to granular matter and thereby show how they follow Noether's theorems. Using Euclidean's group of infinitesimal transformations, a certain class of conservation laws for this type of material was obtained, and then one of these laws was used as an illustrated example in the case of fracture expansion with constant velocity.