d33 {
0
d43a34 + d53a35
a33
d43= Re b]
d61 Re !-12 / /1
cL(1 [12 bl b2 n
6i- V/cos(0) + sin(0)
Plane Stress
Plane Strain
d53 = Re [b]
d62 Re 11 (I /12)1
62 = -3
P1 [2 bl b2
i- 1,2,3
/il and /2 are the two roots with positive imaginary parts as defined by the
equation
all/4 2a16 /3 + (2a12 + a66)_2 2a26p + a22 = 0
(6.12)
and /P3 is the root of the characteristic equation [26]
a55/2 2a45/ + a44 0
(6.13)
It should be noted that the compliance constants (ai,3(i 1, 2,... 6)) used for
the expression (d3,j(j 1,2, 3)) are the ones as given by equation (3.9).
The above equations, when used in conjunction with equations (6.7) & (6.10)
gives Krs. on all the 12 slip systems for FCC single i iv-I 1 superalloy.
/' [nj]
K,
KIl
Kil
(6.14)
K/rss