Page 73 - T. Anderson-Fracture Mechanics - Fundamentals and Applns.-CRC (2005)

1656_C02.fm Page 53 Thursday, April 14, 2005 6:28 PM

Linear Elastic Fracture Mechanics 53

FIGURE 2.23 Plot of stress intensity solutions from Table 2.4.

Although stress intensity solutions are given in a variety of forms, K can always be related to
the through crack (Figure 2.4) through the appropriate correction factor:

K ( I II III) ,, Y a= σπ (2.47)

where
σ = characteristic stress
a = characteristic crack dimension
Y = dimensionless constant that depends on the geometry and the mode of loading

EXAMPLE 2.4

Show that the K I solution for the single edge notched tensile panel reduces to Equation (2.42) when a << W.

Solution: All of the K I expressions in Table 2.4 are of the form:

P  a 
K = BW f  w 
I

where
P = applied force
B = plate thickness
f(a/W) = dimensionless function