Path independent integrals in equilibrium electro-chemo-elasticity

Min Zhang, Jianmin Qu, James R. Rice

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

By using the Noether's first theorem, this paper constructed two types of path-independent integrals in equilibrium electro-chemo-elasticity and proved their uniqueness. These path-independent integrals are the electro-chemo-elastic extensions of the classical J- and L-integrals in elasticity. Similar to their elastic counterparts, the electro-chemo-elastic J- and L-integrals represent energy release when a crack or a cavity undergoes a translation and rotation, respectively. Also shown in this paper is that the M-integral in elasticity cannot be extended to electro-chemo-elasticity. Results of this study established a theoretical foundation for energy conservation laws in equilibrium electro-chemo-elasticity. Such conservation laws are useful in modeling various phenomena in electro-chemo-elastic systems. In addition, the path-independent integrals obtained here provide a theoretical tool for understanding and a practical tool for numerical evaluation of singular fields.

Original languageEnglish
Pages (from-to)525-541
Number of pages17
JournalJournal of the Mechanics and Physics of Solids
Volume107
DOIs
StatePublished - Oct 2017

Keywords

  • Conservation laws
  • Electro-chemo-mechanics
  • Multi-field interaction
  • Path-independent integral

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