Radial stressing of thin sheets with plastic anisotropy (Q1082119)

The effect of transverse plastic orthotropy in uniform radial stressing at a circular hole, embedded in an infinite sheet, is studied. Material behaviour is modelled by a particular version of the anisotropic flow rule proposed by \textit{R. Hill} [Math. Proc. Cambridge Philos. Soc. 85, 179-191 (1979; Zbl 0388.73029)], along with a linear-hardening characteristic. Analytical solutions are derived within the usual assumptions of plane stress and small strain plasticity. Some further results are presented for arbitrary hardening. The main finding is that parameter R has an appreciable influence of the plastic stress profile. The related stress concentration problem, of a circular hole embedded in an infinite sheet under remote uniform tension, is analyzed for rigid- plastic materials with arbitrary hardening. Comparison with experimental results shows a reasonable agreement for the stress field.