A new multiaxial high-cycle fatigue criterion based on the so-called critic
al plane approach is presented. According to such a criterion, the critical
plane orientation is proposed to be correlated with the averaged principal
stress directions deduced through the weight function method. Then the fat
igue failure assessment is performed by considering a nonlinear combination
of the maximum normal stress and the shear stress amplitude acting on the
critical plane. The proposed criterion is applied to a general sinusoidal b
iaxial stress state, for which analytical formulae can be derived. The theo
retical results calculated according to the present criterion, together wit
h those of other common critical plane criteria, are compared with experime
ntal data related to different brittle (hard) metals under in-phase or out-
of-phase sinusoidal biaxial normal and shear stress states. (C) 2001 Elsevi
er Science Ltd. All rights reserved.