Properly prepared and calibrated Type 250A ordnance gelatin is a realistic human soft tissue simulant. It accurately depicts the terminal performance of the projectile shot into it and the wounding effects produced in human soft tissues. It accurately reproduces the forces exerted on the bullet when it penetrates soft tissues.
Uh...wrong.
Pressure, which is force per unit area (or F/A), produced by an object striking a water-based medium like 10% ordnance gelatin or human soft tissues, is determined only by the impact velocity and density of the medium being struck according to the Bernoulli equation, P = ½ρ
TV². The Bernoulli equation is derived from the Navier–Stokes equation, considering flow along a streamline, assuming that the volume force potential is independent of the time, for an inviscid, incompressible fluid where
V is the velocity,
P is the pressure, and
ρ is the fluid density. Given that water, 10% ordnance gelatin, and human soft tissues are composed primarily of water (which is considered to be an inviscid, incompressible fluid), the Bernoulli equation can be used to establish a dynamic equivalence amongst all three materials. If equal pressures occur in any two mediums and human soft tissues, then it can be said that 10% ordnance gelatin and water correctly and accurately reproduces the forces exerted upon the bullet when it penetrates soft tissues.
Water has a density of 999.964 kg/m³
*ITS-90 Density of Water Formulation for Volumetric Standards Calibration, J. Res. Natl. Inst. Stnd. Tech. 97, 335 (1992)
10% ordnance gelatin has a density of 1,029.00 kg/m³
*The Material Properties of Gelatin Gels, J. Winter, March 1975
Human soft tissues have a body-average density of 1,043.00 kg/m³
*Empirical relationships between acoustic parameters in human soft tissues, Applied Research Laboratory, Pennsylvania State University, Mast, D (2000)
So, for example:
If we take a hypothetical 9mm FMJ moving at 1,250 fps (381 mps) through human soft tissues, 10% gelatin, and water, we obtain the following pressure values that drive the expansion of our hypothetical JHP-
For human soft tissues: Pressure = ½ρ
TV² = ½ x 1,043 kg/m³ x (381 m/s)² = 75,701,461.5 N/m²
For 10% ordnance gelatin: Pressure = ½ρ
TV² = ½ x 1,029 kg/m³ x (381 m/s)² = 74,685,334.5 N/m²
For water: Pressure = ½ρ
TV² = ½ x 999.964 kg/m³ x (381 m/s)² = 72,577,887.102 N/m²
All of the values are very close to one another and within reasonable acceptable statistical error limits (±2.50%) for such experiments indicating that the pressure (force/area) occuring in human soft tissues at projectile impact will be accurately represented by either test medium (10% ordnance gelatin or water).