Issue 49

N. S. Popova et alii, Frattura ed Integrità Strutturale, 49 (2019) 267-271; DOI: 10.3221/IGF-ESIS.49.26 269             2 2 2 2 2 y '' x y x y ' y x 2xy 0 1 y ' (5) Figure 1 : The scheme of an infinite wedge under concentrated tensile force P. Eqn. (5) can be solved related to y as a function of x to predict the crack path in an infinite wedge under concentrated tensile force P . It should be also noted, the crack path is in agreement with the minimum value of the energy lost accompanied by creating a new surface of the crack. In this case, the radius-vector r is constant for the crack path in an infinite wedge under concentrated tensile force P [7] . The results of numerical solution of Eq. (5) are presented in Fig. 2 for two angles α and the radius-vector r 0 . It can be seen that the crack paths have arc shapes and are perpendicular to the free surface of the truncated wedge as it was expected according the variational principle. Figure 2 : Predicted crack paths in an infinite wedge under concentrated tensile force P: (a) 2α = 40 0 , (b) 2α = 60 0 .