Issue 29
S. de Miranda et alii, Frattura ed Integrità Strutturale, 29 (2014) 293-301; DOI: 10.3221/IGF-ESIS.29.25
p [MPa]
,2 p D [MPa]
p [MPa]
,2 p D [MPa]
a E [GPa]
a t [mm]
a E [GPa]
a t [mm]
% e
% e
CASE
CASE
FG FG FG FG FG FG FG FG FG FG
3.5 3.5 5.0 5.0 6.5 6.5 8.0 8.0 3.5 3.5 5.0 5.0 6.5 6.5 8.0 8.0
3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5
0.06 0.04 0.07 0.05 0.08 0.06 0.09 0.07 0.10 0.08 0.90 0.79 0.97 0.85 1.01 0.89 1.06 0.95 1.11 1.00
0.05 0.03 0.07 0.04 0.09 0,05 0.10 0.07 0.12 0.08 0.84 0.74 0.90 0.80 0.95 0.85 0.99 0.88 1.04 0.93
15 32
PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm) PGB(2mm)
3.5 3.5 5.0 5.0 6.5 6.5 8.0 8.0
3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5
1.00 0.87 1.08 0.95 1.12 1.00 1.17 1.06 1.22 1.11 3.17 2.69 3.61 3.06 3.84 3.24 4.15 3.49 4.48 3.77
0.94 0.84 1.00 0.90 1.05 0.95 1.07 0.98 1.11 1.02 3.37 3.14 3.34 3.23
6 4 7 5 7 4 9 7 9 8 6 7 7 6
2
20 13
7
18
2
10.0 10.0
27
10.0 10.0
6 7 6 7 6 5 5 7 7 6 7
PGB(6mm) PGB(6mm) PGB(6mm) PGB(6mm) PGB(6mm) PGB(6mm) PGB(6mm) PGB(6mm)
PGT 3.5 PGT 3.5 PGT 5.0 PGT 5.0 PGT 6.5 PGT 6.5 PGT 8.0 PGT 8.0 PGT 10.0
3.33 13
3.31
2
3.12 25
3.20
8
PGB(6mm) 10.0 PGB(6mm) 10.0
3.02 33
PGT
10.0
3.20
15
FG mean relative error: 14%
PGB (2mm) mean relative error: 6%
PGB (6mm) mean relative error: 7%
PGT mean relative error: 13%
Mean relative error: 10%
Table 4 : P eak tensile stresses
and relative errors.
,2 , p p D
A PPENDIX
I
n the following the expressions of the submatrices uu K , uv K , vv K , s vv K , s vv
K and the nodal load vectors u
P are
P , v
given:
'T * T K N N N N ' , u a l uu u t t u E A k
x
d
(A. 1)
u
L
' t k x d
T K N N , u a l uv
2 t
(A. 2)
v
L
2
t
'T * K N N N N N N ' 'T ' T , v a l , v a t 4 t vv v t t v v v E I k k
x
(A. 3)
d
L
L
T , v a t N N k
x
d
(A. 4)
K
vv
v
s
s
T K N N N N N N s v T 'T * G A x , a t ' d s s s s s s s v v v s k v v v s s v k
(A. 5)
L
300
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