Anti-plane fracture mechanics analysis of a piezoelectric material layer with strain and electric field gradient effects

Jine Li, Baolin Wang, Chunwei Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

The problem of an anti-plane crack in a polarized ceramic layer with both the strain and electric field gradient effects is studied. This model includes two characteristic length parameters l and m which describes the strain gradient and the electric field gradient effects, respectively. The analysis demonstrates that the near-tip asymptotic stress and electric displacement are governed by r−3/2 singularities. Due to stain gradient effect, stresses ahead of the crack tip are significantly higher than those in the classical linear piezoelectricity fracture mechanics. When the strain and electric field gradient parameters decrease to sufficiently small, the solutions reduce to the conventional linear elastic fracture mechanics results. The new contribution of this research is that it includes the effects of the strain gradient and electric field gradient simultaneously for a finite crack in a finite piezoelectric layer.
Original languageEnglish
Article number103439
Number of pages6
JournalMechanics Research Communications
Volume102
DOIs
Publication statusPublished - 2019

Keywords

  • fracture
  • strains and stresses
  • surfaces (physics)

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