No abstract

Numerical solutions have been obtained for the nonlinear heat conduction equations arising in the theory of thermal explosions. Explosion times are calculated for externally heated spheres, cylinders, and slabs of several explosive materials, and the results are shown to agree with experiment.

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Alamos, r~ew Mexico Tbe basic processes in the shock initiation of inhomogeneous explosives have been investigated theoretica~ using the model of a cylinder of nitrometbane containing a void or an aluminum pellet. 'lhe interaction of a shock with the density discontinuities, the resulting fo:nmtion of a hot spot, and the buildup to propagating detonation were computed using two-dimensional numerical hydrodyni!Wiics of the "PIC" type w1 th chemical reaction and accurate equations of state. The hot spots formed at aluminum pellets exhibit failure or propagation of detonation in apprcccimately the s&oo manner as the one-d.i.loonsional, hydrodynamic hot spots studied previously. 'file failure of hot spots fo~d at voids could be studied only in those cases in which the :failure mechanism did not depend on details of the structure of the reaction zone, as this structure could not be l'ephKl.ucc..-'d in the calculation.

Three lectures were presented on recent advances in numerical modeling detonations entitled (1) Jet Initiation and Penetration of Explosives; (2) Explosive Desensitization by Preshocking; (3) Inert Metal‐Loaded Explosives.