Issue 55
S. Merdaci et alii, Frattura ed Integrità Strutturale, 55 (2021) 65-75; DOI: 10.3221/IGF-ESIS.55.05
E z
E z
E z
( )
( )
( )
11 Q Q
Q
Q Q Q
,
,
(7)
2 1
22
12
44
55
66
2
2
1
1
The static equations can be solved by virtual displacement. It may be classified as analysis
h
/2
d dz q W d
(8)
0
x x
y
y
xy
xy
yz
yz
xz
xz
h
/2
The top surface. Where the results of stress N, M and S are described by:
, , , x N N N M M M M M M y b x b y s s , , ,
1 ( ) f z
xy
h
/2
, , x y xy
b
z dz
,
(9a)
xy
h
/2
s
x
y
xy
h
/2
, xz yz
h
, s xz yz s
S S
( ) g z dz
(9b)
/2
The stress result is given as
s
b s N A B B M A D D k S A M B D H k b s , s s s s
s
(10)
t
t
t
b
b x
b
b
s
s
s
s
y xy N N N N M M M M M M M M , , , , , , , , x y xy y xy x
(11a)
t
t
t
x y xy x y xy k k k k k k k k , , b b b , , , s b s s s
0 0 0 , , ,
x y xy
(11b)
11 A A
11 B B
11 D D
0
0
0 0
12
12
12
A A A
B B B
D D D
(11c)
0 ,
0 ,
12
22
12
22
12
22
A
B
D
0 0
0 0
0 0
66
66
66
s
s
s
s
s
s
11 B B
11 D D
11 H H
0
0
0 0
12
12
12
s
s
s
s
s
s
s
s
s
B B B
D D D
H H H
0 ,
0 ,
(11d)
12
22
12
22
12
22
s
s
s
B
D
H
0 0
0 0
0 0
66
66
66
s
A
0
, xz yz
t
t
44
s
s
s
S S S ,
(11e)
A
,
,
xz yz
s
A
0
55
where Aij , Bij , etc is defined as plate stiffness
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