In this paper we give new estimates from above and from below of the Stress Intensity Factor on an open bounded and convex domain $$\Omega \subseteq \mathbb {R}^2$$
Ω
⊆
R
2
. This analysis is a continuation of the study that we have done in Ascenzi et al. (Appl Math Comput 158:597–617, 2004), Ascenzi (Ann Univ Ferrara Sez VII (NS) 47:41–56, 2001) and Livieri et al. (Acta Mech 176:95–105, 2005) and that started from the paper of Oore and Burns (J Press Vessel Technol 102:204–211, 1980).