Uniaxial True Stress-Strain after Necking

A weighted-average method for determining uniaxial, true tensile stress vs. strain relation after necking is presented for strip shaped samples. The method re-quires identification of a lower and an upper bound for the true stress-strain function after necking and ex-presses the true stress-strain relation as the weighted average of these two bounds. The weight factor is de-termined iteratively by a finite element model until best agreement between calculated and experimental load-extension curves is achieved. The method was applied to various alloys