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Shaped Charge Swedish Fortification Penetration Formula
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Shaped Charge Swedish Fortification Penetration Formula
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Sources:
SHAPED CHARGE CALCULATION MODELS FOR EXPLOSIVE ORDNANCE DISPOSAL OPERATIONS (1 MB PDF)
This variant of the Hydrodynamic Model was created by the Swedish FOI (Defence Research Agency) and used in the Swedish Design Manual for Protective Construction (FKR2011) by the Swedish Fortification Agency.
It is:
Where:
T = Depth of Penetration (millimeters)
D = Warhead Calibre (millimeters)
k1 = Jet Length Co-Efficient
k2 = Target Material Co-Efficient
ρJ = Density of Jet Material (kg/m3)
ρT = Density of Target Material (kg/m3)
The "k" coefficents according to the Swedish, were:
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k1 Coefficient for Jet Length |
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Type of Munition |
k1 |
Charge Diameter Ratio |
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Sub-Munitions (<70mm) |
8 |
4 diameters |
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Hand-held AT Weapons (<110mm) |
8 / 12 / 16 |
4, 6 and 8 diameters |
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Light ATGM (<130mm) |
12 / 16 |
6 and 8 diameters |
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Heavy ATGMs (<180mm) |
12 / 16 |
6 and 8 diameters |
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Ballistic Missiles (<350mm) |
12 / 16 |
6 and 8 diameters |
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k2 Coefficient for Target Materials |
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Target Material |
k2 |
Target Density (kg/m3) |
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Sand, Gravel |
1.0 |
1600 |
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Ordinary concrete (C40) |
0.8 |
2400 |
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High-strength concrete (C140) |
0.5 |
2500 |
Swedish Formula CalculatorWarhead Diameter (mm) Jet Length Coefficient Target Material Coefficient Jet Material Density Target Material Density Penetration (mm) Penetration (Charge Diameters) |
The US M72 Law from the Vietnam War has a roughly 60mm (maximum weapon diameter of 66mm) copper-lined (8950 kg/m3) warhead and can penetrate 305mm of Steel, 600mm of Reinforced Concrete and 1800mm of Earth.
The following values check out:
The US M77 DPICM Bomblet has a roughly 34mm (maximum weapon diameter of 38mm) copper-lined (8950 kg/m3) warhead and can penetrate 101.6mm (4 in) of RHA.
The following values check out:
