Elastic-plastic transitional stresses in an annular disc having variable thickness and variable Posson's ratio subjected to internal pressure is derived by using Seth's transition theory. It is seen that thickness and Posson's ratio variation influence significantly the stresses and pressure required for initial yielding. The thickness variation reduces the magnitude of the stresses and pressure needed for a fully plastic state. It seems that for a fully plastic state that circumferential stresses are maximum at the outer surface.
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The problem of elastic-plastic transition stresses in a spherical shell under internal pressure by using the lebesgue measure temperature are solved by using the concept of generalized strain measure. The result are same as given by Hulsurkar.
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