On the Jump Conditions for Shock Waves in Condensed Materials

TL;DR

This paper derives general Rankine-Hugoniot boundary conditions for shock waves in condensed materials, providing practical formulas for key variables and analyzing their effects on various materials.

Contribution

It introduces a unified formulation of shock jump conditions applicable to different materials and shock strengths, enhancing understanding of shock behavior in condensed matter.

Findings

Derived general RH boundary conditions for condensed materials.

Presented formulas for particle velocity, density, pressure, and temperature.

Discussed effects on materials like titanium, steel, and aluminum.

Abstract

In this article, we have proposed Rankine-Hugoniot (RH) boundary conditions at the normal shock front, which is passing through the condensed material. These RH conditions are quite general, and their convenient forms for the particle velocity, mass density, pressure, and temperature have been presented in terms of the upstream Mach number and the material parameters for the weak and the strong shocks, respectively. Finally, the effects on the mechanical quantities of the shock-compressed materials, e.g., titanium Ti6Al4V, stainless steel 304, aluminum 6061-T6, etc., have been discussed.