Morphological characterization of shocked porous material

Abstract

Morphological measures are introduced to probe the complex procedure of shock wave reaction on porous material. They characterize the geometry and topology of the pixelized map of a state variable like the temperature. Relevance of them to thermodynamical properties of material is revealed and various experimental conditions are simulated. Numerical results indicate that, the shock wave reaction results in a complicated sequence of compressions and rarefactions in porous material. The increasing rate of the total fractional white area $A$ roughly gives the velocity $D$ of a compressive-wave-series. When a velocity $D$ is mentioned, the corresponding threshold contour-level of the state variable, like the temperature, should also be stated. When the threshold contour-level increases, $D$ becomes smaller. The area $A$ increases parabolically with time $t$ during the initial period. The $A(t)$ curve goes back to be linear in the following three cases: (i) when the porosity $\delta$ approaches 1, (ii) when the initial shock becomes stronger, (iii) when the contour-level approaches the minimum value of the state variable. The area with high-temperature may continue to increase even after the early compressive-waves have arrived at the downstream free surface and some rarefactive-waves have come back into the target body. In the case of energetic material ... (see the full text)

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References in corpus (8)

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• Morphological and non-equilibrium analysis of coupled Rayleigh-Taylor-Kelvin-Helmholtz instability
• Entropy production in thermal phase separation: a kinetic-theory approach
• Complex fields in heterogeneous materials under shock: modeling, simulation and analysis
• Viscous effects on morphological and thermodynamic non-equilibrium characterizations of shock-bubble interaction
• Shock Wave Response of Porous Materials: From Plasticity to Elasticity
• Comparative Study on Several Criteria for Non-equilibrium Phase Separation
• Effects of the initial perturbations on the Rayleigh-Taylor-Kelvin-Helmholtz instability system