Shock Wave Response of Porous Materials: From Plasticity to Elasticity

Shock wave reaction results in various characteristic regimes in porous material. The geometrical and topological properties of these regimes are highly concerned in practical applications. Via the morphological analysis to characteristic regimes with high temperature, we investigate the thermodynamics of shocked porous materials whose mechanical properties cover a wide range from hyperplasticity to elasticity. It is found that, under fixed shock strength, the total fractional area $A$ of the high-temperature regimes with $T \geq T_{th}$ and its saturation value first increase, then decrease with the increasing of the initial yield $\sigma_{Y0}$, where $T_{th}$ is a given threshold value of temperature $T$. In the shock-loading procedure, the fractional area $A(t)$ may show the same behavior if $T_{th}$ and $\sigma_{Y0}$ are chosen appropriately. Under the same $A(t)$ behavior, $T_{th}$ first increases then decreases with $\sigma_{Y0}$. At the maximum point $\sigma_{Y0M}$, the shock wave contributes the maximum plastic work. Around $\sigma_{Y0M}$, two materials with different mechanical properties may share the same $A(t)$ behavior even for the same $T_{th}$. The characteristic regimes in the material with the larger $\sigma_{Y0}$ are more dispersed.