Interaction equations for multiaxial fatigue assessment of welded structures

Mika Bäckström, Gary Marquis (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

24 Citations (Scopus)


Multiaxial fatigue data from 233 welded test specimens taken from eight different studies have been evaluated based on three published interaction equations for normal and shear stress. The interaction equations were obtained from SFS 2378, Eurocode 3 and International Institute of Welding (IIW) recommendations. Fatigue classes for normal and shear stress were obtained directly from the design guidance documents. Additionally, mean fatigue strengths were determined by regression analysis of bending only and torsion only data for different specimen types. In some cases, the S–N slopes assumed by the different standards were not appropriate for the test data. Specimens that showed significantly different cracking locations or cracking mode between bending and torsion were not easily correlated by the interaction equations. Interaction equations work best in cases where both the normal stress and the shear stress tend to produce crack initiation and growth in the same location and in the same direction. The use of a damage summation of 0.5 for non‐proportional loading as recommended by IIW was consistent with experimental observations for tube‐to‐plate specimens. Other codes used a damage sum of unity.
Original languageEnglish
Pages (from-to)991-1003
JournalFatigue & Fracture of Engineering Materials & Structures
Issue number11
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed


  • multiaxial fatigue
  • fatigue


Dive into the research topics of 'Interaction equations for multiaxial fatigue assessment of welded structures'. Together they form a unique fingerprint.

Cite this