Spectral Methods to Estimate Local Multiaxial Fatigue Failure Criteria for
Structures Undergoing Random Vibrations
Xavier Pitoiset, Igor Rychlik and André Preumont
Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,
2000
ISSN 14039338

Abstract:

This paper proposes computationally efficient frequency domain formulations
for two wellknown multiaxial fatigue failure criteria, namely Matake's critical
plane criterion and Crossland's criterion. For that purpose, it is shown
how fatigue related variables involved in both criteria can be estimated
from the power spectral density matrix of the local stress vector. The finite
element model of an example structure is then used to illustrate the application
of the proposed frequency domain approaches. It is observed that both frequency
domain formulations produce accurate results when compared to those obtained
in the time domain from MonteCarlo simulations of local stress vectors

while offering tremendous computer savings. A frequency domain tool indicating
if the principal stress directions do rotate with time or not during the
loading at a given location in the structure is also presented.


Key words:

multiaxial fatigue, failure criterion, random vibrations, finite elements