For a brief period during the latter part of World War II, N. F. Mott, then professor of physics at the University of Bristol, later knighted and a Nobel laureate, undertook the theoretical description of the statistical fragmentation of bodies subjected to intense impulsive loads. Some of his most innovative ideas on the micromechanical and molecular aspects of fracture are included in his subsequent publications. But it is Mott's original publications where the seminal theoretical concepts from which numerous later modeling efforts and engineering formulae emerged. Mott's presentation is terse, leaving much for the reader to fill in, and considerable reflection, with pencil in hand, is required to begin to appreciate the richness and insight offered in these works. The present book surveys the theoretical analysis put forth by Mott with particular focus on his efforts to characterize the size and distribution of fragments resulting from a dynamic fragmentation event. It also pursues additional new theoretical analysis with the intent to delve further into the physical ideas and unfinished analysis implicit in Mott's original study. This book addresses all scientists and engineers concerned with the dynamic fracture and fragmentation of solid bodies subject to intense transient loads imparted by explosive detonation and high-velocity impact, from both the historical and modern perspective.
Table of Contents
Geometric Fragmentation Statistics.- Physics-Based Statistical Methods.- Further Features of the Mott Statistical Theory.- Reconciling Mott-Statistical and Energy-Based Fragmentation.- Application to the Biaxial Fragmentation of Shells.- Scaling Relations for Fragmenting Shells.- Experimental Fragmentation.- Transcription and Facsimiles of Reports of N.F. Mott.- A Theory of Fragmentation.- Fragmentation of H.E. Shells: a Theoretical Formula for the Distribution of Weights of Fragments.- A Theory of the Fragmentation of Shells and Bombs.- Fragmentation of Shell Casings and the Theory of Rupture in Metals.- A Theory of Fragmentation: Application to Wire Wound Bombs such as the American 20 lb, F..- Fragmentation of Service Projectiles.