This paper discusses the influence of the Tvergaard parameters, qi, which are basic constants of the Gurson-TvergaardNeedleman (GTN) material model, on the numerically simulated load-carrying capacity of tensile elements made of S235JR steel. The elements were considered to be under static tension at low initial stress triaxiality σm/σe = 1/3. Two sets of the Tvergaard parameters qi were analyzed: those typical of structural steels and those dependent on material strength properties. The results showed that the Tvergaard parameters, qi, had influence on the load-carrying capacity of tensile elements at low initial stress triaxiality. They affected the strength curves and the changes in the void volume fractions determined for S235JR steel elements
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