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