Issue 25
V. Veselý et alii, Frattura ed Integrità Strutturale, 25 (2013) 69-78; DOI: 10.3221/IGF-ESIS.25.11
P v is neglected, significant difference appears earlier, around = 0.75 (see Fig. 6a and b, where comparison with [23], which ignores P v , is shown).
(a) (b) (c) (d) Figure 4 : 2D representation of the WST – static scheme with indication of boundary conditions (a) and corresponding FE model (b) . Example of the FE mesh around the crack tip: ring of selected nodes (at radius 5 mm from the crack tip) (c) and quarter-point crack tip elements (d) .
1.75
200
platens I, P sp platens I, P sp platens I, P sp platens I, P sp platens II, P sp platens II, P sp
platens I, P sp platens I, P sp platens I, P sp platens I, P sp platens II, P sp platens II, P sp
1.50
175
+ P v + P v + P v
, 1 supp.
+ P v + P v + P v
, 1 supp.
, 2 supp. (1/4) , 2 supp. (1/8)
, 2 supp. (1/4) , 2 supp. (1/8)
1.25
150
1.00
+ P v + P v
, 1 supp.
+ P v + P v
, 1 supp.
125
, 2 supp. (1/4)
, 2 supp. (1/4)
0.75
100
B 1 [-]
B 2 [-]
0.50
75
0.25
50
0.00
25
-0.25
0
-0.50
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
α [-]
α [-]
(a)
(b)
and B 2 as functions of the relative crack length for various considered boundary conditions.
Figure 5 : Geometry factors B 1
300
2500
(a)
(b)
250
0
200
-2500
-5000
150
g 7 [-]
g 4 [-]
-7500
100
-10000
50
(c)
(d)
-12500
0
-15000
-50
0.2 0.4 0.6 0.8
0.850 0.875 0.900 0.925 α [-]
0.2 0.4 0.6 0.8
0.7
0.8
0.9
α [-]
α [-]
α [-]
platens II, P sp platens II, P sp
+ P v + P v
, 1 supp.
platens II, P sp platens II, P sp distrib. load, P sp
+ P v + P v
, 1 supp.
, 2 supp. (1/4)
, 2 supp. (1/4)
, 2 supp. (1/4) (ref. Karihaloo et al. 2003)
Figure 6 : Shape functions g 4 as functions of the relative crack length for two support variants. An accurate knowledge of the mechanical fields in the cracked body is necessary for a relevant fracture analysis. As an example, a reconstruction of the stress fields in the WST (platens II, one support, P v considered) is introduced. Fig. 7 and g 7
75
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