Asymptotic fields at tip of conical notches and inclusions in a power hardening solid (Q1118437)

The asymptotic field is determined at the tip of a conical notch and of a rigid cone in an incompressible power law hardening solid, subjected to axisymmetric loading. For both geometries, no singularity exists with torsional loading, but singular solutions do exist with torsionless axisymmetric loading. For the conical notch, the level of strain singularity increases with an increase of the strain hardening exponent n, and is greatest when the included cone semi-angle \(\alpha\) is between \(0\circ\) and 60\(\circ\) depending upon n. For the rigid cone, the level of strain singularity increases with increasing n and decreasing \(\alpha\). Contours of constant effective stress and details of the stress components are given over a wide range of \(\alpha\) and n, for both geometries.