Na. Noda et al., ANALYSIS OF STRESS INTENSITY FACTORS FOR CURVED CRACKS, JSME international journal. Series A, mechanics and material engineering, 37(4), 1994, pp. 360-365
In this paper, numerical solution of hypersingular integral equations
in curved-crack problems is presented. The stress fields induced by tw
o kinds of standard sets of force doublets are used as fundamental sol
utions. Then, the problem is formulated as a system of integral equati
ons with the singularity of the form r-2. In the numerical calculation
, two kinds of unknown functions are approximated by the products of t
he fundamental density functions and power series. The calculation sho
ws that the present method gives rapidly converging numerical results
for curved cracks under various geometrical conditions. In addition, a
method of evaluation of the stress intensity factors for arbitrary-sh
aped curved cracks is proposed using the approximate replacement with
a simple straight crack.