Bauschinger effect design procedures for compound tubes containing an autofrettaged layer

Autofrettage is used to introduce advantageous residual stresses into press ure vessels. proposed which models material removal from the bore or outsid e diameter of a single, The Bauschinger effect can produce less compressive residual hoop stresses near the bore than are predicted by "ideal" autofre ttage solutions. A design procedure was recently plain autofrettaged tube i n the presence of Bauschinger effect. This paper extends the procedure to m odel the addition of pressure or of material (via shrink-fir) to the tube, providing associated residual stress profiles following various amounts of further yielding due to a net external pressure. Simple criteria are develo ped for determining, and avoiding, further yielding in the autofrettaged tu be when it is used as parr of a compound assembly involving shrink-fitting; these criteria are based upon net pressure differential between the bore a nd outside diameter of the autofrettaged tube. An alternative criterion, ba sed upon bore hoop stress, is shown to be erroneous.