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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

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

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2.2.3 ImpulseThe impulse <strong>of</strong> <strong>the</strong> air blast wave has a big influence on <strong>the</strong> response <strong>of</strong> <strong>the</strong> structures. The impulseis defined here as <strong>the</strong> area under <strong>the</strong> pressure time curve with <strong>the</strong> unit <strong>of</strong> pressure*sec. The impulsec<strong>an</strong> be calculated with (Kinney [15])0.067 1 + ( Z / 0.23)I =2 34Z 1 + ( Z /1.55)4(6)Ano<strong>the</strong>r possibility is <strong>the</strong> polynomial equation <strong>of</strong> Kingery [14]. The comparison <strong>of</strong> <strong>the</strong> impulseresulting from both equations shows that <strong>the</strong> equation <strong>of</strong> Kinney simplifies <strong>the</strong> curve <strong>of</strong> <strong>the</strong> impulsebetween a scaled dist<strong>an</strong>ce <strong>of</strong> 0.5 <strong>an</strong>d 1.5 m/kg 1/3 .800600impulse [Pa sec]400200KinneyKingery00 0.5 1 1.5 2 2.5 3scaled dist<strong>an</strong>ce [m/kg 1/3 ]Figure 4: Different equations for <strong>the</strong> impulse (Kinney [15] <strong>an</strong>d Kingery [14])2.2.4 Negative PhaseDetonations produce <strong>an</strong> overpressure peak, <strong>an</strong>d afterwards <strong>the</strong> pressure decreases <strong>an</strong>d drops below<strong>the</strong> reference pressure (generally <strong>the</strong> atmospheric pressure). The influence <strong>of</strong> <strong>the</strong> so-called negativephase depends on <strong>the</strong> scaled dist<strong>an</strong>ce. For scaled dist<strong>an</strong>ces Z larger th<strong>an</strong> 20 <strong>an</strong>d especially for Zlarger th<strong>an</strong> 50 <strong>the</strong> influence <strong>of</strong> <strong>the</strong> negative phase c<strong>an</strong> not always be neglected. The size <strong>of</strong> <strong>the</strong>positive impulse <strong>an</strong>d <strong>of</strong> <strong>the</strong> negative impulse is <strong>the</strong>n nearly <strong>the</strong> same. If <strong>the</strong> structure c<strong>an</strong> react11

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