PSI - Issue 77

Victor Rizov et al. / Procedia Structural Integrity 77 (2026) 397–404 Author name / Structural Integrity Procedia 00 (2026) 000–000

402

6

Fig. 2. The normalized integral J vs. 2 1 / t t ratio (curve 1 – at / 1 = h h

0.3

, curve 2 – at /

0.5

/ 1 = h h

0.7

1 = h h

and curve 3 – at

)

The change of the integral J as a result of variation of ratio, 2 1 / t t , is illustrated by the plots in Fig. 2.

/ rght α α 2.0 = lft

1.0 = lft

/ rght α α

1.5 = lft

lft rght L L / ratio (curve 1 – at

Fig. 3. The normalized integral J vs.

, curve 2 – at

and curve 3 – at

/ rght α α

)

The change of the integral J due to variation of h h / 1 ratio is also explored (for this purpose, plots at three h h / 1 ratios are shown in Fig. 2). It can be seen in Fig.2 that the integral J increases when the ratio, 2 1 / t t , grows. The growth of h h / 1 ratio induces reduction of the integral J (Fig. 2). The distribution of the material property, L , along the beam length is chatracterized by lft rght L L / ratio.