PLASTIC BENDING OF A RESIDUALLY STRESSED BEAM

This paper contains analysis of the bending beyond the elastic limit o f an ideally elastic-plastic beam which contains a through-thickness d istribution of high initial stresses. This is relevant to the analysis of service behaviour of components containing high residual stresses, such as might arise from heat treatment followed by quenching, plasti c deformation induced by shot-peening, cold rolling, etc. The Timoshen ko analysis of plastic bending of a beam is adapted for a particular c ase of a parabolic residual stress distribution typical of quenching t reatment in bar or plate form. Attention is focused on the shake-down of residual stress, i.e., the variation in the residual stress and str ain subsequent to bending. The implications of these results in terms of the analysis of bending tests are discussed. (C) 1997 Elsevier Scie nce Ltd.