476 
theory of Rice and Ginell, it is assumed that level values of a function 
G = ea ie: are propagated outward with a velocityc¢+u. Asymptoti- 
cally, this assumption is equivalent to the basic assumption underlying 
the treatment of the spherical wave. However, detailed calculations showed 
the assumption to be increasingly in error at decreasing distances from the 
charge, and somewhat more satisfactory results were obtained by taking 
ome ee ree olaccusabies 10, inateadior 1/2) 
In view of the fact that the shock wave from an infinite cylin- 
der of explosive is satisfactorily treated in a direct manner by the 
methods of the similarity restraint theory, an extended discussion of the 
theory of Rice and Ginell will not be given here, reference being made to 
their reports for the details of their treatment. 
We consider two cases in the application of the similarity restraint 
propagation theory to the shock wave from infinitely long cylinders of ex- 
plosives .23/ The assumption of adiabatic isometric conversion of the explo- 
sive charge to its decomposition products results in a one-dimensional 
theory in which the shock-wave parameters are functions of time and radial 
coordinate. The consideration of the shock wave produced by a stationary 
detonation wave traveling in the axial direction of the cylinder with a 
finite velocity leads to a two-dimensional theory in which the shock-wave 
properties are functions of time and radial coordinate only, since the 
axial and radial coordinates are connected by a relation Zz = Z(K) a 
The basic assumptions of the theory as applied to the cylindrical wave are 
identical with those of the previous section, the treatment differing in 
detail due to the change in symmetry. 
33/ See Reference 10, 
86 
