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Linear Elastic Fracture Mechanics 101

where 2c and 2a are the major and minor axes of the elliptical flaw, respectively. A series expansion
of Equation (A2.54) gives

π  1 c 2 − a 2 3  c 2 − a 2  2 
Ψ= 1 − −   −   (A2.55)
2   4 c 2 64  c 2   

Most stress intensity solutions for elliptical and semiellipical cracks in published literature are
written in terms of a flaw shape parameter Q, which can be approximated by

.
Q = 2 ≈ Ψ 1 1 464  a  165 (A2.56)
+
.
 c 
REFERENCES
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