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


Fuente: https://arxiv.org/



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