PSI - Issue 81

V.S. Kravets et al. / Procedia Structural Integrity 81 (2026) 102–108

107

0 / c c q q ( b ) for two parameter values c/l (lines: 1 – oblate ellipse, 2 – slit-like,

Fig. 4. Influence of crack-like defect shape on relative SIF Ш F ( a ) and CSL

3 – rectangular).

When the orthotropy axes of the body material S do not coincide with the axes of the introduced Cartesian coordinate system (Fig. 1) and rotated at an angle  , such a body is described by the general equations of the theory of elasticity of an anisotropic body (Lekhnitskii (1963)). The mechanical parameters of this body take the form 3 3 3 45 44 3 44 i c c ic c       , and where (Savruk at al. (2025))

2

2 2

2

13 23 / G G   . (14)

13 23 xz yz c G G G G   , 30

3 30 / , sin cos        , 3 3 30 30 ( 1)sin cos / ,

The behaviors of SIFs and CSL with a change in the inclination of the orthotropy axes of the material relative to the Ox axis you can see in the Fig. 5. The following parameters of calculations are used here for 13 0: , / 0.25 xz yz xz G G G G    ( 30 3 2, 0.5 c    % ) and 13 / 1 q G  , 0 13 / 0.1 G G  for the slit-like defect ( c/l =0.2). With the same values of relative average shear stiffness of material 3 3 13 / с с G  % and given the body load q , the strengthening effect of crack healing increases with decreasing shear modulus yz G relative to xz G (increase parameter 3  ).

[0, / 2]   of the orthotropy axes of the body material on relative SIF Ш F ( a ) and

Fig. 5. Influence of crack filling volume a / l and the inclination angle CSL 0 / c c q q ( b ) forslit-like shape of crack-like defect ( c/l = 0.2).

The calculated values for the function of longitudinal shear displacement f ( x ) (3), (4) coincide with the known analytical solutions for completely filled crack-like defects ( a = l ) in the form of an oblate ellipse Sylovanyuk and Ivantyshyn (2022).