An extension of the E. Melan's shakedown theorem of the elasto-plastic structure

by the lighter conditions. Here Prj(X) stands for the time independent of residual stress field (satisfying the equilibrium equations for vaniBhing loads), Q is the domain of loads; Vthe domain occupied by the body; i = {x;}the space variables [3[. In thiB paper the author shall ext and the obtained results by looking at the extensions of E. Melan's theorem under an unifield point of view, and then we prove a more extended shakedown critere, and its consequences. A numerical example is given, in virtue of illu:5t.ration and comparison.