Fig. 4: Crack tip stress characteristics upon loading.

The crack opening stresses (COS), growth direction stresses (GDS) and σxx are shown for LS1, LS2, and LS3 in (a–c), respectively. The PST value introduced in Eq. 2 to verify the evaluated crack tip stresses is presented in (d–f), respectively, where the black contour line marks PST = 0.5, which can be attributed to full plastic deformation. Additionally, circles with a diameter of 5 µm in front of the crack tip represent the area from which values were taken for the statistical analysis shown in (g–i). Additionally, Poisson’s ratio υexp = 0.253 ± 0.01724 for this HEA is indicated in (g). Finally, in (j–l) the triaxiality ratio, being the relation between the hydrostatic portion of the stress tensor and the von-Mises stress representing the strain energy of distortion, is shown. The black contour line in (j–l) corresponds to \(T=1/\sqrt{3}\approx 0.577\), representing a plane strain state. The error bars in (a–c) depict the standard deviation of the stress results.