Calculation of the explosion of a trotyl bar of infinite length

Abstract

The dynamics of the explosion of spherical, cylindrical, or flat charges of explosive has been thoroughly studied [1–6]. The form of these charges is such that the energy evolved is distributed under the condition of the instantaneous character of the detonation or of its initiation at the center, along the axis, or at the plane of symmetry of the charge, uniformly over the surface of the charges, which, with an explosion in a homogeneous medium, leads to one-dimensional not fully established motions. It is of interest to investigate the process of the explosion of charges of more general form, where the above distribution of energy ceases to be uniform, and the corresponding motion of the medium ceases to be one-dimensional. An example can be the explosions of charges having the form of a cube, a parallelepiped, an ellipsoid, etc. The study of such cases makes it possible to clarify the resulting redistribution of the energy of the explosion, which can be of importance from the point of view of the search for possibilities of improving the use and the control of this energy. Such investigations have been carried out experimentally (see, for example, [7]); however, up to the present time there has been no rigorous theoretical analysis, which is connected with the great complexity of the corresponding gasdynamic problems. The article discusses the natural generalization of the problem of the explosion of an infinitely long cylindrical charge.