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Development of a new unreacted equation of state for LX-17 with a genetic algorithm and a semiparametric model
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Development of a new unreacted equation of state for LX-17 with a genetic algorithm and a semiparametric model

Reid Rikio Ginoza
Argo Scholar Commons
Master of Science (MS), University of West Florida
2021

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Abstract

Modeling the detonation of high explosives requires accurate simulations of shock propagation within the material of interest. The shock behavior is largely captured with the Hugoniot curve of an equation of state model, which describes the thermodynamic behavior of the unreacted material. While there are parametric forms for these models, such as linear and quadratic fits, that can be fit to shock data, in this work, a semiparametric Hugoniot curve was developed with cubic b-splines to allow more flexibility in fitting the shock data. In order to optimize the fit, a genetic algorithm that respects convexity constraints performed a global search. In two test cases, the spline Hugoniot model was fit to artificial experimental data and resulted in good agreement with the known truth. Finally, we examined the existing Hugoniot, pop plot, and overdriven data for LX-17, an insensitive TATB-based explosive, and fit a new equation of state to this expanded data set with our semiparametric form. While previously published parameterizations of models did not satisfy all constraints, this new model was fit to all the collected data and respected all the constraints.
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