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Two collinear Mode-I cracks in piezoelectric/ piezomagnetic materials

  • Zhen Gong Zhou*
  • , Jia Zhi Wang
  • , Lin Zhi Wu
  • *Corresponding author for this work
  • Harbin Institute of Technology

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, the behavior of two collinear Mode-I cracks in piezoelectric/piezomagnetic materials subjected to a uniform tension loading was investigated by the generalized Almansi's theorem. Through the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations, in which the unknown variables were the jumps of displacements across the crack surfaces. To solve the triple integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials to obtain the relations among the electric displacement intensity factors, the magnetic flux intensity factors and the stress intensity factors at the crack tips. The interaction of two collinear cracks was also discussed in the present paper.

Original languageEnglish
Pages (from-to)55-75
Number of pages21
JournalStructural Engineering and Mechanics
Volume29
Issue number1
DOIs
StatePublished - 10 May 2008

Keywords

  • Crack
  • Fourier integral transform
  • Piezoelectric/piezomagnetic materials

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