Issue 68
Ch. F. Markides et alii, Frattura ed Integrità Strutturale, 68 (2024) 1-18; DOI: 10.3221/IGF-ESIS.68.01
The variation of the remaining two Cartesian stress components, σ yy and σ xy , along the same as previously loci are shown in Fig.5. It is seen that the distributions along the strip edges fulfill (according to a quite satisfactory manner) the boundary conditions imposed. The non-zero values of σ yy and σ xy along the notch flanks (in the interior) are to suffice the zeroing of the boundary stress components σ ηη and σ ξη along the notch flank (approaching the strip from its exterior).
2b
2b
10
10
y
y
yy
xy
0.19
11.71
0.14
1.27
5
5
0.19
0.14
yy
11.71
xy
0
0
21.78 2 2.60
yy x 28.53 2 0.15
0.00
x
xy
y
yy
2h
-5
xy
2h
-5
yy
xy
y
39.27 2 0.69
-10
y
-10
0.13
0.43
0.00
0.05
-15
-15
yy
xy
0.13
0.43
10 [MPa]
0.05
0.00
10 [MPa]
-20
-20
-20 -15 -10 -5 0 5 10 15 20 Notched strip [cm], for α =0.25 cm 1/2
-20 -15 -10 -5 0 5 10 15 20 Notched strip [cm], for α =0.25 cm 1/2
(a)
2b
2b
10
10
y
y
yy
xy
0.19
0.11
2.61
12.59
5
5
xy
0.19
0.11
yy
12.59
0
0
yy
0.00
11.02 2 2.36
x
x
xy
y
14.39 2 0.27
xy
2h
20.92 2 0.71
2h
yy
-5
y
-5
yy
y
xy
-10
-10
0.16
0.54
0.00
0.04
-15
-15
xy
yy
0.04
0.00
0.16
0.54
10 [MPa]
10 [MPa]
-20
-20
-20 -15 -10 -5 0 5 10 15 20 Notched strip [cm], for α =0.5 cm 1/2
-20 -15 -10 -5 0 5 10 15 20 Notched strip [cm], for α =0.5 cm 1/2
(b)
2b
2b
10
10
y
y
12.63
xy
yy
0.03
4.71
0.17
5
5
xy
0.17
0.03
yy
4.71
12.63
0
0
x
x
5.85
0.00
7.50
2 2.09
y
11.96
2 0.43
y
2h
xy
2h
-5
yy
-5
2 0.75
y
yy
xy
-10
-10
0.25
0.90
0.00
0.03
-15
-15
xy
yy
0.00
0.03
10 [MPa]
0.25
0.90
10 [MPa]
-20
-20
-20 -15 -10 -5 0 5 10 15 20 Notched strip [cm], for α =1.0 cm 1/2
-20 -15 -10 -5 0 5 10 15 20 Notched strip [cm], for α =1.0 cm 1/2
(c)
Figure 5: The variation of σ yy and σ xy along the bisector of the notch (y-axis), along the linear edges of the strip and along half of the perimeter of the notch, for a notch with (a) α =0.25, (b) α =0.5 and (c) α =1.0 cm 1/2 .
10
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