Accession Number : AD0276841

Title :   ON THE PROPAGATION OF STRESS WAVES IN A RATE SENSITIVE PLASTIC MEDIUM

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : PERZYNA,P.

Report Date : JUN 1962

Pagination or Media Count : 1

Abstract : The propagation of stress waves in rate sensitive plastic materials is treated. Four types of waves are considered, namely, spherical waves, cylindrical radial waves, cylindrical shear waves and plane waves in a half-space. It is shown that these four wave problems can be reduced to the same mathematical formulation. On the front of the propagation wave which constitutes the shock wave, the solution is given by an iteration method. In the anelastic regions the method of finite differences along the characteristic lines is used whereas in the elastic regions the problem is reduced to the generalized Picard problem for which the Riemann function is determined in a closed form, except for cylindrical radial waves. (Author)

Descriptors :   *PLASTIC PROPERTIES, *STRESSES, COMPLEX VARIABLES, DIFFERENTIAL EQUATIONS, IMPACT SHOCK, PROPAGATION, SHOCK WAVES, WAVE PROPAGATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE