Projectile impact onto a membrane

A problem of the projectile impact onto a membrane is studied under the following assumptions: the armor shell is a membrane with a zero flexural stiffness and a large Young's modulus under tension; the frontal part of the projectile is shaped as a paraboloid; the projectile impact onto the membrane is considered in a quasi-static formulation; the membrane is broken when a certain limiting surface tension is reached at the paraboloid vertex. It is found that the armor shell ensures safety if the kinetic energy of the projectile does not exceed some maximum value for this armor determined theoretically or experimentally.