PSI - Issue 33
Anna Fesenko et al. / Procedia Structural Integrity 33 (2021) 509–527 Author nam / Structural Integrity Pro edi 00 (2019) 000 – 000
523 15
b b b b p 2 1
11 12
A Y Y (1) R
R
(1)
Elements of the matrix
:
p
p
21 22
2 *
2 * 0 1 I
2 * 0 2 I
2 p I
b
I
2 1 2 I
3
3 5 2( 1)
3 5 2( 1)
1 2
11
0 2
1 1
1
1
2 * 2 1 * I
2 2
2
2 p I
;
1 1 2 1
1 1
*
2 *
2
* 1 1 I
b
* 1 0 1 I
I
p
I
3 5 2( 1)
3 5 2( 1)
3
1 1 2 1
12
0 2
1 2
1
2 2 * 1 1 2 p I 2 * 1 2 1 2 2 2 I I *
;
1 2
2 * 1 2 2 I
2 1 2 2 I
2 2
2 p I
.
;
b
b
1 1
22
*
1 1
21
1
2
1
2
1
( , ), ( , ), ( , ) g r g r g r g r . ( , ),
Appendix B. The form of functions
11
11
21
21
2
,
11 c r
21 c r
1 11 g r
;
11
12
c r
2
21 r c r s
,
11 r c r
22
21 r r
2 11 g r
r r s
11
12
11
12
c r
r c r s 21
11 r c r 11 c r
11
12 r r
;
r r s
21
22
12
11
2
,
21 c r
1 21 g r
;
21
22
c r
2
21 r c r s
,
11 r c r
22
21 r r
2 21 g r
r r s
11
12
21
22
c r
r c r s 21
11 r c r
11
12 r r
;
r r s
21
22
22
21
1
22 11 12 21 r r r r c r
t t
t t
11 22 12 21 s s s s
11 22 12 21
2
1
12
11
22
;
11 r s t 21
12 s t
21 r s t
22 s t
21 r s t
22 s t
11 r s t
12 s t
12
22
11
21
12
22
11
11
2
r r * 1 1 2 2 1 2 1 2
2 0 1 r r
.
1 2
*
1 1
1 2
r r
r r
1
11 12
R
Y
( ) r
Elements of the matrix
:
p
2
p
2
21 22
0 2
1
1
2
2
2
2 p I r
;
r r
I r
2 I r
2 I r
*
1 1
1 1
1 1
11
* 0
1
1
2
2
* 1 0
;
I r
2 I r
I r
2 I r
12
* 2 0
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