PSI - Issue 13

Ermioni D. Pasiou et al. / Procedia Structural Integrity 13 (2018) 2101–2108 E. D. Pasiou, S. K. Kourkoulis , M. G. Tsousi, Ch. F. Markides/ Structural Integrity Procedia 00 (2018) 000–000

2107 7

0.20

0.20

(a)

(b)

y

x

0.10

0.00

0

90

180

270

360

0.00

y

0

90

180

270

360

u θ [mm]

u r [mm]

-0.20

x

-0.10

Ring φ0_d6.25 φ0_d12.50 φ0_d25.00

-0.20 0.10

-0.40 0.15

θ [deg]

θ [deg]

y

x

0.00

0

90

180

270

360

y

-0.15

0.00

x

0

90

180

270

360

u r [mm]

u θ [mm]

-0.30

-0.45

-0.10

(c)

(d)

θ [deg]

θ [deg]

Fig. 5. The radial and the tangential displacement components around the hole (a, b) and along the periphery of the disc (c, d) for both the ring and the “φ90_dxx.xx” class of specimens.

0.05

0.20

y

B

ur

uθ

ur uθ

x

0.00

0.00

0

10

20

30

0

10

20

30

y

-0.05

-0.20

B

x

Best fit curves

Best fit curve

Polar displacements a t critica l point B [mm]

Polar displacements at critical point B [mm]

-0.10

-0.40

Eccentricity norma lly to the loading line, d [mm]

Eccentricity a long the loading line, d [mm]

(a) (b) Fig. 6 The dependence of the radial and tangential displacement components developed at the critical point B (see the embedded sketches) on the eccentricity along (a) and normal (b) to the loading line. The analysis of the experimental data revealed that the displacement field is rather insensitive to small eccentricities along the loading axis. Indeed, it was proven that for d-values smaller than one fourth of the ring’s outer radius (d=12.5 mm) the distortion of the displacement field is rather negligible (Fig.4). Moreover, at the point of interest (intersection of the loading line with the boundary of the hole), the dependence of the displacement on the eccentricity is almost perfectly linear for d-values in the 0