Rasmus ÿstergaard forside 100%.indd - Solid Mechanics

464 R. C. ØSTERGAARD ET AL.
APPENDIX B
Constants for Fracture Mechanical Equations
and
The orthotropic materials constants H11and H22 are given by
where m ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi p
ð1 þ Þ=2,
and
h i
H11 ¼ 2mb 1=4 s 0 11 s0 22
h i
H22 ¼ 2mb 1=4 s 0 11 s0 22
Stiffness-geometry Constants
h i
#1 þ 2mb 1=4 s 0 11 s0 22
h i
#1 þ 2mb 1=4 s 0 11 s0 22
b¼ s0 11
s 0 22
#2
#2
ðA3Þ
, ðA4Þ
ðA5Þ
¼ 2s012 þ s066 2 ffiffiffiffiffiffiffiffiffiffiffi p : ðA6Þ
s 0 11 s0 22
APPENDIX C
The parameters that are used in the construction of the reduced problem
are
¼ ðs0
11 Þ#2
ðs 0
11
h
, ¼ : ðA7Þ
Þ#1 H
Note that all the following constants only depend on these two parameters.
C1 ¼ 1
A3
, C2 ¼ 1
2I3
1 1
þ , C3 ¼ 2 1
12I3
3 ,