Page 369 - T. Anderson-Fracture Mechanics - Fundamentals and Applns.-CRC (2005)

1656_C007.fm Page 349 Monday, May 23, 2005 5:54 PM

Fracture Toughness Testing of Metals 349

TABLE A7.3
Crack Length-Compliance Relationships for Compact and Three-Point Bend Specimens [4]. a
Compact specimen
a = U 2 3 4 5
.
W . U − 1 00196 4 06319 LL + . . LL 106. U − 11 242 LL 464. U + 043 LL 650 677 U − 335 LL
where
U LL = Z LL 1 +1 and Z LL = BE∆
P
Single-edge-notched bend specimen loaded in three-point bending
a = 2 3 4 5
.
W . . U − 0 999748 V . U +3 9504 V . U −2 9821 V 51. U + 3 21408 V 113 031 U − 51564 V
where
U = 1 Z = BEV and V is the crack-mouth-opening displacement.
V
V
4 Z W P
V
S +1
a For side-grooved specimens, B should be replaced by an effective thickness:
−
B e B = − ( BB ) 2
N
B
where B N is the net thickness.
TABLE A7.4
Limit Load Solutions for Through-Thickness Cracks in Flat Plates [56, 57] a,b

(a) Compact specimen
P . B b= 1 455η σ P . B b= 1 455η σ (plane strain)
L Y L Y
P . B b= 1 072η σ (plane stress)
L Y
where
 2a  2 4a  2a 
η = + + − 2 + 1
 b  b  b 
(b) Single-edge-notched bend (SE(B)) specimen loaded in three-point bending
2
.
1 455 Bb σ
P = S Y (plane stress)
L
2
1 072 Bb σ
.
P = S Y (plane stress)
L
(c) Middle tension (MT) panel
P L 4 B b= σ Y (plane strain)
3
P L B b= 2 σ Y (plane stress)
(d) Single-edge-notched-tension (SENT) specimen
P L . B b= 1 455η σ Y (plane strain)
P L . B b= 1 072η σ Y (plane stress)
where
a
η = + 1   2 − a
  b
b