DYNAMICAL SCALING OF ANHARMONIC LATTICES AT THE ONSET OF FRACTURE

Abstract

We investigate the dynamical renormalization properties of an anharmonic lattice. At the onset of fracture, we map this lattice into a transformed lattice with disorder. By studying the properties of the transformed lattice, we get analytical results for the dynamical scaling of the lattice. From these, we obtain the transformed memory of the lattice and we discuss how these results may be used to interpret simulations and experiments.