Path-independent integrals for heat conduction analysis in electrothermal crack problems

M. Saka, H. Abé

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Two-dimensional electrothermal crack problems are treated. Steady temperature distribution near the lip of a crack is analyzed for a homogeneous isotropic conductive material with the steady dc current. A path-independent integral jt is newly introduced and is used for the analysis together with the je integral, which has been introduced by the authors for electric crack problems. Based on the analysis, the mode it stress intensity factor KII, which is attributed to thermal stresses caused by Joule heating, is shown to be a function of the two path-independent integrals.

Original languageEnglish
Pages (from-to)71-83
Number of pages13
JournalJournal of Thermal Stresses
Issue number1
Publication statusPublished - 1992
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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