P. Lazzarin et P. Livieri, DIFFERENT SOLUTIONS FOR STRESS AND STRAIN FIELDS IN AUTOFRETTAGED THICK-WALLED CYLINDERS, International journal of pressure vessels and piping, 71(3), 1997, pp. 231-238
In the first part of the paper we will present an analytical solution
to the plastic stress and strain distribution induced by a single over
-pressure cycle in a cylindrical vessel. The solution is valid for mat
erials which, during the loading phase, can be described by a linear h
ardening law as well as by the modified Ramberg-Osgood law. We will cl
arify the conditions for which the stress field expressions can be sim
plified, thus facilitating a parametric analysis of their increase wit
h respect to the values one would obtain when considering an ideal ela
stic-perfectly plastic behaviour of the material. In the second part o
f the paper, residual stress fields will be numerically evaluated, tak
ing into account, during the unloading phase, both the variability of
the stress flow and the Bauschinger effect factor as a function of pre
-strains. (C) 1997 Elsevier Science Ltd.