A path-independent integral for fracture of solids under combined electrochemical and mechanical loadings

Hamed Haftbaradaran, Jianmin Qu

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

In this study, we first demonstrate that the J-integral in classical linear elasticity becomes path-dependent when the solid is subjected to combined electrical, chemical and mechanical loadings. We then construct an electro-chemo-mechanical J-integral that is path-independent under such combined multiple driving forces. Further, we show that this electro-chemo-mechanical J-integral represents the rate at which the grand potential releases per unit crack growth. As an example, the path-independent nature of the electro-chemo-mechanical J-integral is demonstrated by solving the problem of a thin elastic film delaminated from a thick elastic substrate.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of the Mechanics and Physics of Solids
Volume71
Issue number1
DOIs
StatePublished - Nov 2014

Keywords

  • Chemo-mechanics
  • Crack
  • Fracture mechanics
  • J-integral
  • Path-independent integral

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