Path-Independent Integrals for Heat Conduction Analysis in Electro-Thermal Crack Problems

Masumi Saka, Hiroyuki Abe

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A path-independent integral, je, is newly introduced for the analysis of steady temperature distribution near the tip of a crack in a homogeneous isotropic conductive plate with the steady current. By making use of the je-integral together with the je-integral, which has been introduced by the authors for the electric crack problems, an asymptotic solution is presented for the steady temperature distribution. It is shown that directly ahead of the crack, the temperature remains constant along the crack line. Finally, the temperature along the crack line of an edge crack in a conductive strip is determined analytically as a function of the crack length, the far-field temperature, and the total current introduced on the strip.

Original languageEnglish
Pages (from-to)1990-1994
Number of pages5
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Issue number468
Publication statusPublished - 1985


  • Conductive Plate
  • Crack
  • Electric Current. Temperature
  • Fracture
  • Path-Independent Integral

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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