Multiaxial low cycle fatigue life of Sn-8Zn-3Bi solder under non-proportional loading

Takamoto Itoh, Takaei Yamamoto, Fumio Ogawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This study describes evaluation of multiaxial low cycle fatigue life of a lead-free solder, Sn-8Zn-3Bi. Strain controlled multiaxial low cycle fatigue tests under proportional and non-proportional loading conditions were carried out using a hollow cylinder specimen at room temperature. The loading conditions employed were a push-pull, a reversed torsion, a box-shape, a step-shape and a circle-shape strain paths. The former two loading conditions are the proportional loading and the latter three loading conditions are the non-proportional loading in which directions of principal stresses and strains are changed in a cycle. The effect of non-proportional loading on the fatigue life of Sn-8Zn-3Bi was investigated. The reduction in low cycle fatigue life due to non-proportional loading was identified, and the life was the shortest for the circle-shape strain path when fatigue lives were correlated by a von Mises equivalent strain range. Fatigue lives of four strain paths other than the reversed torsion strain paths were correlated within a factor of two band by an equivalent inelastic strain range. All of the fatigue lives were evaluated well by a non-proportional strain range considering the effect of additional strain hardening due to non-proportional loading, which was proved to be effective for life evaluation of the solder under non-proportional loading.

Original languageEnglish
Pages (from-to)166-172
Number of pages7
JournalZairyo/Journal of the Society of Materials Science, Japan
Issue number2
Publication statusPublished - 2017 Feb
Externally publishedYes


  • Lead-free solder
  • Life evaluation
  • Low cycle fatigue
  • Multiaxial stress
  • Non-proportional loading

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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