Page 246 - T. Anderson-Fracture Mechanics - Fundamentals and Applns.-CRC (2005)
P. 246
1656_C005.fm Page 226 Monday, May 23, 2005 5:47 PM
226 Fracture Mechanics: Fundamentals and Applications
FIGURE 5.7 Metallographic cross-section (unetched) of a ruptured austenitic stainless steel tensile specimen
(The dark areas in the necked region are microvoids). Photograph courtesy of P.T. Purtscher.
where
ε 3 ˙
φ =− 2
ε ˙ ε − ˙
1 3
Substituting Equation (5.9) into Equation (5.8) and making a few simplifying assumptions leads
to the following expressions for the radial displacements of the ellipsoidal void:
3+ ) φ
R A = + ( B R (5.10a)
1 2 o
2 φ + 3
φ B
R A = − R (5.10b)
2 2 o
φ + 3
(φ − B
R A = + 3) R (5.10c)
3 2 o
2 φ + 3 
