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Abstract: Morphological measures are introduced to probe the complex procedure of shockwave reaction on porous material. They characterize the geometry and topologyof the pixelized map of a state variable like the temperature. Relevance ofthem to thermodynamical properties of material is revealed and variousexperimental conditions are simulated. Numerical results indicate that, theshock wave reaction results in a complicated sequence of compressions andrarefactions in porous material. The increasing rate of the total fractionalwhite area $A$ roughly gives the velocity $D$ of a compressive-wave-series.When a velocity $D$ is mentioned, the corresponding threshold contour-level ofthe state variable, like the temperature, should also be stated. When thethreshold contour-level increases, $D$ becomes smaller. The area $A$ increasesparabolically with time $t$ during the initial period. The $At$ curve goesback to be linear in the following three cases: i when the porosity $\delta$approaches 1, ii when the initial shock becomes stronger, iii when thecontour-level approaches the minimum value of the state variable. The area withhigh-temperature may continue to increase even after the earlycompressive-waves have arrived at the downstream free surface and somerarefactive-waves have come back into the target body. In the case of energeticmaterial

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Author: Aiguo Xu, Guangcai Zhang, X. F. Pan, Ping Zhang, Jianshi Zhu

Source: https://arxiv.org/







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