In order to study the residual stresses of auto fettage super high pressure vessel effectively,  a new model of stress and strain was developed in this paper.  The model is more closer to actual working condition for the steel applied in auto fettage super high pressure vessel through the strict mathematic testification.  The example to be given in this paper states how this model was established and how the error was analyzed.  The same example also shows that solving the new model of stress and strain based on general tensile curves is feasible and reliable indeed.  The model has theoretical signification and engineering practical value to a certain extend.