Fatigue Crack Paths 2003

N o m e n c l a t u r e

Z = x + ,y = ,1”

0(2) , \|J(z) two complex function,

$1 I d_¢

dz

it = shear modulus,

v = poisson ratio

,7 I 3 _ 4v in plain strain

n I 3 —v in plain stress

I + v

i _ 1

.

.

a I #2

;

I h 1+0,

Dundursbimaterial constant

1 +771

#2 I + 171

Angular function in material 1:

“ g u m _ I M I F W D0.) D0.)

1312i" + out" + (21125 + out” — ot)cos r'lnr + (l + ot)cos 22,/r]

gR (in l:

D0”)

gI (,1 )= 131121145 + W111 — “is”; 7131;’ + (1 + “)8?” 2%”1 not”): 1 + 20: + 20:2 — 2or(I + (1)6081,” - 40:22.5

”

D k,

Angular function in material 2:

T R : 1 ,

f1

:

g1

:

0

gR(/.L ): A _ cos A n _ /i[ot+ Z/ln — (1+ 206 —4otli)cos Ann + (1+ ot)cos 22,/r]

n

n

n

K1, K2 are generalised stress intensity factor

K0 = 6076a

a= crack length; 60 = remote tension; r,0 = polar co-ordinate of generic point

N = order of the isochromatic fringe; f = stress optical constant; t = thickness of

the plate

1d1:1A1*1f1

; 181: 1A1’ *1A1