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Simulation of the Effects of an Air Blast Wave - ELSA - Europa

Simulation of the Effects of an Air Blast Wave - ELSA - Europa

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4.6.5 Comparison with results <strong>of</strong> o<strong>the</strong>r authorsExperiments <strong>an</strong>d calculations with spherical explosions without reflections are relatively rare in <strong>the</strong>literature.Clutter [9] uses only one element with a different EOS for <strong>the</strong> explosive. He compares <strong>the</strong> results <strong>of</strong><strong>the</strong> impulse <strong>an</strong>d <strong>the</strong> peak pressure in a logarithmic scale. The values for <strong>the</strong> peak pressure are higherfor small scaled dist<strong>an</strong>ces <strong>an</strong>d are smaller for large scaled dist<strong>an</strong>ces. The impulses for scaleddist<strong>an</strong>ces smaller th<strong>an</strong> 0.8 m/kg 1/3 are definitely too large (up to 2.5 times <strong>of</strong> <strong>the</strong> Kingery data). Also<strong>the</strong> values for larger dist<strong>an</strong>ces are overestimated. A fluid calculation should results in smaller peakpressures <strong>an</strong>d smaller impulses.Fairlie [12] presents calculations with AUTODYN for a small amount <strong>of</strong> TNT (8 g). Thecomparison <strong>of</strong> <strong>the</strong> peak pressures shows a good correlation with <strong>the</strong> values <strong>of</strong> Kingery (3%difference). The difference for <strong>the</strong> impulse is 22%, in <strong>the</strong> same r<strong>an</strong>ge as <strong>the</strong> herein presentedcalculations.The investigation from Alia [1] uses LS-DYNA with a multi material formulation. The amount <strong>of</strong>454 g C-4 (equivalent to 609 g TNT) is modelled with <strong>the</strong> JWL-equation. The overpressure at acertain point is smaller th<strong>an</strong> <strong>the</strong> pressures resulting from Kingery (25%). The impulse is alsosmaller (40%).In <strong>the</strong> calculations presented <strong>the</strong> difference between <strong>the</strong> numerical results <strong>an</strong>d <strong>the</strong> experimentalresults <strong>of</strong> Kingery are in a r<strong>an</strong>ge <strong>of</strong> 30-40% for <strong>the</strong> peak pressures as well as for <strong>the</strong> impulses. Thesmallest elements in <strong>the</strong> CON-models have a length <strong>of</strong> 1 mm due to <strong>the</strong> small <strong>an</strong>gle <strong>of</strong> <strong>the</strong> cone.This raises <strong>the</strong> question whe<strong>the</strong>r <strong>the</strong> modelling <strong>of</strong> large structures is possible with a JWL-equation.Therefore, <strong>the</strong> next chapter presents several possibilities for <strong>the</strong> simulation <strong>of</strong> air blast waves.4.7 Influence <strong>of</strong> several parametersAs seen above, <strong>the</strong>re are differences between <strong>the</strong> experimental results <strong>an</strong>d <strong>the</strong> numericalcalculations. The computed maximum pressure is too small, <strong>the</strong> arrival time longer, <strong>an</strong>d <strong>the</strong> impulsehigher. The potential influence <strong>of</strong> <strong>the</strong> several parameters involved should be determined.4.7.1 Specific heat ratio (CON15)Kingery defines <strong>the</strong> parameter γ in <strong>the</strong> r<strong>an</strong>ge <strong>of</strong> 1.176 to 1.402. The cited literature is still not available,but as stated, γ varies with <strong>the</strong> overpressure. Without <strong>the</strong> knowledge <strong>of</strong> <strong>the</strong> dependence on <strong>the</strong>overpressure it is not possible to define a more accurate material law for <strong>the</strong> air. Never<strong>the</strong>less, <strong>the</strong>influence <strong>of</strong> a varying γ c<strong>an</strong> be tested with a calculation which chooses γ to be 1.176 (smallest50

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