57 mm APFSDS (2,000 m)
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Long-Rod Penetrator Perforation Limit on Oblique Targets Tungsten and DU Rods Steel Rods Validity Range Lw / D > 4 Tungst 500 > BHNT > 150 DU 500 > BHNT > 150 Steel 550 > BHNT > 120 750 > Penetrator Tungsten DU Steel Fit P Total penetrator length L 390 390 ### mm Diameter D 12.7 13 13 mm Frustum length 13 13 13 mm m Frustum diameter upper base d 3.63 3.6 4 mm Tu Density Tungsten ### ### 7,850 a Brinell Hardness Number BHNP 500 Working length ### ### 382.93 mm Penetrator mass (without threa ### ### 0.381 kg Deplet 30.2 ### 30.2 a L / D 30.7 ### 30.7 Target S Density ### ### 7,850 a Brinell Hardness Number BHNT 300 300 300 c Impact velocity ### ### ### km/s k NATO-Obliquity q 0 0 0 ° n Results Plate thickness t 250 279 124 mm Perforation (LOS) P ### ### 124.5 mm Terms ### ### 1.022 - obliquity ### ### 1.000 - square root density ratio ### ### 1.000 - Term 5 ### ### 0.288 - P/Lw ### ### 0.325 - id for impact velocities greater than ### ### 1.326 km/s actual impact velocity ### ### 1.355 km/s vT > sqrt((c0+c1*BHNT)*BHNT/rP/1.5) vT > sqrt((c0+c1*BHNT)*BHNT/rP/1.2) vT > sqrt(c*BHNT^k*BHNP^n/1.3) b0 b1 Lf kg/m 3 c0 Lw c1 mP Lw / D c0 Cylindric penetrator: Lw = L (Lf=0 and d=0) c1 rT kg/m 3 vT Lw/D ratio T2 T3 T4 T5 2 1 0 exp cos tanh 1 T P n k T P m w w v BHNP BHNT c D L b b a L P r r r q 2 1 0 1 0 exp cos tanh 1 T P T P m w w v BHNT BHNT c c D L b b a L P r r r q
Transcript of 57 mm APFSDS (2,000 m)
Odermatt Equation V1.3Long-Rod PenetratorPerforation Limit on Oblique TargetsTungsten and DU Rods
Steel Rods
Validity RangeLw / D > 4
TungstenvT > sqrt((c0+c1*BHNT)*BHNT/rP/1.5)500 > BHNT > 150DUvT > sqrt((c0+c1*BHNT)*BHNT/rP/1.2)500 > BHNT > 150SteelvT > sqrt(c*BHNT^k*BHNP^n/1.3)550 > BHNT > 120750 > BHNP > 200
PenetratorTungstenDUSteelFit ParameterTotal penetrator lengthL390390390mmb00.283DiameterD12.712.712.7mmb10.0656Frustum lengthLf131313mmm-0.224Frustum diameter upper based3.633.633.63mmTungstenDensity Tungsten17,50018,6007,850kg/m3a0.994Brinell Hardness NumberBHNP500c0134.5Working lengthLw382.93382.93382.93mmc1-0.148Penetrator mass (without thread)mP0.8490.9020.381kgDepleted UraniumLw / D30.230.230.2a0.825L / D30.730.730.7c090.0Cylindric penetrator: Lw = L (Lf=0 and d=0)c1-0.0849TargetSteelDensityrT7,8507,8507,850kg/m3a1.104Brinell Hardness NumberBHNT300300300c9874Impact velocityvT1.3551.3431.355km/sk0.3598NATO-Obliquityq000n-0.2342
ResultsPlate thicknesst250279124mmPerforation (LOS)P250.4279.1124.5mm
TermsLw/D ratioT21.0221.0221.022-InputobliquityT31.0001.0001.000-square root density ratioT41.4931.5391.000-Term 5T50.4310.5620.288-OutputP/Lw0.6540.7290.325-
Equation valid for impact velocities greater than1.0150.9311.326km/sactual impact velocity1.3551.3431.355km/s
Perforation Equation V3 - Tungsten, DU and Steel Long Rods vs. Oblique RHAW. Odermatt / June 2009
