Relationships between Explosive Performance Potential and Detonation Properties-Application of Dimensional Analysis and G-Inverses

Abstract

An approach based on dimensional analysis has been used to obtain relationships between the detonation properties of a high explosive and its performance potential (Xpp) as measured by strength and brisance tests. A matrix is set up wherein each physical quantity is expressed in terms of basic dimensions (M, L, T) and solved using the method of generalised inverses. A correlation analysis has been carried out between XppS calculated from property data for 29 military explosives using these expressions and strength/brisance values. The paper discusses the results obtained and their utility. New expressions relating P and other detonation properties have also been derived and tested for the degree of correlation.