This paper presents computationally efficient frequency domain methods for
estimating the high-cycle fatigue life of metallic structures subjected to
a random multiaxial loading. The equivalent von Mises stress method propose
d earlier by the senior author is first reviewed. it is then shown that the
multiaxial rainflow method, initially formulated in the time domain, can b
e implemented in the frequency domain in a formally similar way. The consis
tency of the results are checked by comparison with a time domain method ba
sed on the critical plane. It is observed that frequency domain methods pro
duce enormous computer savings and correlate fairly well with the time doma
in method in terms of localizing the critical areas in the structure. A fre
quency domain implementation of Crossland's Failure criterion is also propo
sed; it is found in very good agreement and much faster than its time domai
n counterpart. (C) 2000 Elsevier Science Ltd. All rights reserved.