User:Snkhaderi/sandbox

Cunniff analysis
The performance of a ballistic armor is characterized by the velocity V50[]. This is the velocity at which a projectile has the 50% probability of perforating a given target. Using dimensionless analysis, Cuniff arrived at a relation connecting the V50 and the system parameters for textile-based body armors. Under the assumption that the energy of impact is dissipated in breaking the fibers, it was shown that the terminal velocity
 * $$ V_{50} = (U^* )^{1/3} f\left(\frac{A_d}{A_p}\right).$$

Here,
 * $$U^* = \frac{\sigma\epsilon}{2\rho}\sqrt\frac{E}{\rho},$$
 * $$\sigma,\epsilon,\rho,E$$ are the failure stress, failure strain, density and elastic modulus of the fibers
 * $$A_d$$ is the mass per unit area of the armor
 * $$A_p$$ is the mass per unit area of the projectile