Plastic flow past a smooth cone (Q761074)

A new exact solution is obtained of the equations which govern the axially symmetric flow, in the kinematically determined regime, of a rigid-perfectly plastic solid which obeys Tresca's yield condition and associated flow rule. The solution is also valid for an ideal granular material which obeys the Coulomb-Mohr condition and the double-shearing flow equations. This solution is applied to the problem of flow of an infinite medium past a smooth rigid infinite cone. By the superposition of an axial velocity, the solution also describes the penetration of an infinite body by a cone.