Converging shock wave in an ideal inelastic medium and the stability of cumulation
Abstract
The boundary value problem of a converging shock wave in a sphere and a cylinder is examined, along with the evolution of small disturbances generated by the motion of the wave toward the center of the sphere or the cylinder axis, respectively, in an ideal inelastic medium. The material of the medium undergoes constant densification at the wave front, the densification being independent of the wave amplitude. A solution to the problem is obtained, using a scheme proposed by Kompaneets (1956). The stability of shock wave cumulation is analyzed.
- Publication:
-
PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
- Pub Date:
- October 1975
- Bibcode:
- 1975PMTF........82S
- Keywords:
-
- Anelasticity;
- Densification;
- Dynamic Stability;
- Shock Wave Interaction;
- Wave Amplification;
- Convergence;
- Cumulative Damage;
- Cylindrical Bodies;
- Shock Fronts;
- Shock Loads;
- Spheres;
- Fluid Mechanics and Heat Transfer