PSI - Issue 41

Victor Rizov et al. / Procedia Structural Integrity 41 (2022) 94–102 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

96

3

−

 

1

1







x

= +

1   

,

(4)

3

1



l

3

−

 

2

2







x

= +

 

,

(5)

4

2

2





l

4

where

x l   0 .

(6)

Fig. 1. Inhomogeneous beam with delamination crack loaded in torsion.

2 G , 1  and 2  at the

  2 are the values of 1 G ,

 1 G ,

 2 G ,

  1 and

In dependences (2), (3), (4), (5) and (6),

free end of the beam,   2 are the values of the shear moduli and the coefficients of viscosity at the clamped end of the beam, 1  , 2  , 3  and 4  are parameters governing the change of 1 G , 2 G , 1  and 2  along the beam length, respectively. The distribution of material properties in layer 2 is presented also by (2), (3), (4) and (5). For this purpose, 1 G , 2 G , 1  , 2  ,  1 G ,  2 G ,   1 ,   2 ,  1 G ,  2 G ,   1 ,   2 , 1  , 2  , 3  and 4  are replaced with B G 1 , B G 2 , B 1  , B 2  ,  B G 1 ,  B G 2 ,   B 1 ,   B 2 ,  B G 1 ,  B G 2 ,   B 1 ,   B 2 , B 1  , B 2  , B 3  and B 4  ,  1 G ,  2 G ,   1 and