Approximate equations were developed to describe the stress fields in
stress concentration regions. A uniaxial tension loading condition was
considered. For infinite bodies, the stress equations contain two par
ameters, the stress concentration factor K-t and the notch root radius
rho; for finite bodies, a finite size correction factor f(W) which in
volves the notch depth, t, and the length of ligament ahead of the not
ch tip, d, was introduced. After the approximate equations reach their
minimum value, a uniform distribution is assumed. The accuracy of thi
s description of the stress held was verified by comparison with analy
tical solutions and the results of numerical analysis. The new equatio
ns give better estimations of stress fields than currently available a
pproximate expressions.