On two stress concentration problems in plane-stress anisotropic plasticity (Q1084914)

Analytical solutions are presented for the stress concentration factors at a circular hole, and at a circular inclusion, embedded in an infinite sheet which is subjected to remote uniform tension. The constitutive relations are based on a restricted version of the anisotropic flow theory proposed by Hill, along with a linear-hardening characteristic. The framework of the analysis is that of plane-stress small-strain plasticity. Some further results are derived for arbitrary hardening. It is shown that plastic anisotropy has a strong influence on the stress concentration at the hole, but is less predominant for the inclusion problem.