Application of Gradient Theory and Quantized Fracture Mechanics in Snow Avalanches

Abstract

Avalanche initiation in snow slabs of high enough length-to thickness ratio by failure of the interface between the show slab and the underlying bedrock is considered. In this direction Quantized Fracture Mechanics (QFM), an extension of the theory of Linear Elastic Fracture Mechanics (LEFM), as well as gradient theory are employed. Mode-II fracture is assumed in both cases. The two models, although having a completely different origin, lead to similar expressions for the height of the fallen snow, which is critical for slab avalanche triggering.