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Damage in offshore structures is mainly due to fatigue multiaxial stress state at structural joints, and fatigue strength assessment of such joints through the critical-plane criterion is well-accepted by the scientific community. A novel relationship to estimate the critical plane orientation is proposed in the present paper. Such a relationship is implemented in the stress-based critical-plane criterion by Carpinteri et al., which is applicable to any metallic material under multiaxialdoi:10.5281/zenodo.3686181 fatcat:dghfiajrhve7fiiqoeol2pec3q