Issue 38

N. Vaysfeld et alii, Frattura ed Integrità Strutturale, 38 (2016) 1-11; DOI: 10.3221/IGF-ESIS.38.01 9 Figure 6 : Normal stresses     y x y y a 0, , 0, , 100      . Figure 7 : Normal stresses     y x a y a y a / 2, , / 2, , 100      . C ONCLUSIONS 1. The proposed solving method reduced the initial problem to the singular integral equation, which has the two fixed singularities at the end of the integration’s interval. The special generalized scheme of SIE solving was applied with the aim to take these singularities into consideration. 2. The proposed approach may be applied to the solving of the elasticity mixed problem for the semi-strip with a crack. 3. The analyses of the numerical results show that the taking into consideration the existence of the two fixed singularities of the solution gives the possibility to obtain the numerical result on the distance less than a/1000 to the angular point of the semi-strip in comparison with the usual approach to the solving, allowing to get the stable results only on the distance to the angular points not less than a/10. A PPENDIX A                                                      ch a x ch a x G x sh a sh a sh a x xsh a x sh a ash a x a x ash a x ach a ch a x ch a x 11 2 , 2 1 1 2 1                                                                                                          ach a G x sh a x sh a ch a x sh a x ch a x a x x ch a x a x 12 2 1 , 2 1 1 1 sgn sgn                                               