Steady penetration of a rigid cone into pressure-dependent plastic material

The objective of the present paper is to find a semi-analytical axisymmetric solution for steady penetration of a rigid cone into pressure-dependent plastic material obeying the double-shearing model. As expected, the solution is singular near the maximum friction surface. It is important to mention that the singularity is not due to the geometry of the problem but the friction law. The type of the singularity is the same as in plane-strain solutions based on the double-shearing model and in classical plasticity. This allows for calculating the strain rate intensity factor. The solution is illustrated by a numerical example.