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Basic solutions of a 3D rectangular limited-permeable crack or two 3D rectangular limited-permeable cracks in the piezoelectric/piezomagnetic composite materials

  • Zhen Gong Zhou*
  • , Pei Wei Zhang
  • , Lin Zhi Wu
  • *Corresponding author for this work
  • Southeast University, Nanjing
  • Harbin Institute of Technology

Research output: Contribution to journalArticlepeer-review

Abstract

The solutions of a three-dimensional rectangular limited-permeable crack or two three-dimensional rectangular limited-permeable cracks in the piezoelectric/piezomagnetic composite materials were investigated by using the generalized Almansi's theorem and the Schmidt method. Finally, the relations among the electric field, the magnetic flux field and the stress field near the crack tips were obtained and the effects of the electric permittivity, the magnetic permeability of the air inside the crack, the shape of the rectangular crack on the stress, the electric displacement and magnetic flux intensity factors in the piezoelectric/piezomagnetic composite materials were analyzed.

Original languageEnglish
Pages (from-to)2404-2428
Number of pages25
JournalApplied Mathematical Modelling
Volume36
Issue number6
DOIs
StatePublished - Jun 2012

Keywords

  • Mechanics of solids
  • Piezoelectric/piezomagnetic composite materials
  • Rectangular limited-permeable crack

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