On the shock dynamics of weak converging shock waves in solid materials

Structure of shock wave in tungsten and titanium metals by using navier-stokes equation

“…In figure 1, we show the schematic diagram of our theoretical model of shock wave interactions with the alloy condensed material. Here the source of the shock wave is allowed to propagate a number of plane shock waves by any of the processes discussed in the literature [14]. In this case, the initial shock wave is referred to as the primary shock, while the following waves are referred to as secondary shock waves.…”

“…The shock wave interaction technique is the most important one since it can be used to investigate a substance's entire state range, including a rapid rate of deformation, phase transitions, fragmentation, and metallurgical changes, which cannot be examined using any other technique [9][10][11][12][13]. To investigate such properties of materials with the help of the shock wave interaction technique, several authors have developed a model wherein they assume a plane shock compression produced in various ways such as hypervelocity impacts, shock tubes, explosions, and energy depositions [14]. Though these shock waves cause strain in the form of three-dimensional stress, for the sake of simplicity, authors usually emphasize a uniaxial strain formed across the surface of materials affected by the applied shocks [8].…”

Compressible flow in a Noble–Abel stiffened gas fluid

“…Originally, Whitham's model was developed for shocks in ideal gases. A few studies extended the method to water shocks [2,3,4] using the Tait equation of state, to shocks in solids using the Mie-Gruneisen equation of state [5] and to magnetohydrodynamics (MHD) [6]. The present study develops the method for a Noble-Abel Stiffened Gas [7,8,9] .…”