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1656_C02.fm Page 52 Thursday, April 14, 2005 6:28 PM
52 Fracture Mechanics: Fundamentals and Applications
TABLE 2.4
K Solutions for Common Test Specimens a
I
f a *
GEOMETRY W
Single Edge Notched Tension (SENT) πa
2tan
2W + a
.
.
πa 0 752 2 02 W
cos
2W
πa
+ . − 037 1 sin 2W 3
Single Edge Notched Bend (SE(B)) S a
3
W W 199 − a
.
a a 32 W
/
+
21 2 1−
W W
2
1− a a + a
2 15 3 93
W . − . W 2 7 . W
Center Cracked Tension (CCT)
π πa a − a 2
.
4 W sec 2 W 1 0 025 W
a 4
.
+ 006
W
Double Edge Notched Tension (DENT) πa
2 W . − . a − . a 2
0 205
1 122 0 561
a W W
1−
W
a 3 a 4
.
+ 0 471 + 0 190
.
W W
Compact Specimen a
2 + 2
W 0886 464 a − 1332 a
.
+ .
.
1− a 32 W W
/
W
a 3 a 4
+ 14 72 − 5 60
.
.
W W
P a
*K = f where B is the specimen thickness.
I
BW W
a Taken from Tada, H., Paris, P.C., and Irwin, G.R., The Stress Analysis of Cracks Handbook. 2nd Ed., Paris
Productions, St. Louis, MO, 1985.