The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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  • Z. H. Zhou
  • X. S. Xu
  • A. Y T Leung


Original languageEnglish
Pages (from-to)3577-3586
Journal / PublicationInternational Journal of Solids and Structures
Issue number20
Publication statusPublished - 1 Oct 2009


This paper introduces a new analytical method to determine the stress and electric intensity factors for edge-cracked circular piezoelectric shafts using Hamiltonian formalism. The singularities near the crack tip are represented in terms of exponential series that can show the boundary layer effects effectively. A symplectic system is established directly by introducing dual vectors in terms of the symplectic eigenfunctions. The coefficients of the series are determined from the lateral boundary conditions along the crack faces and the outer boundary conditions along the exterior geometric domain. The intensity factors are determined by the first two coefficients of non-zero eigenvalue solutions. Numerical examples for various boundary conditions are given. The influencing parameters on the intensity factors are investigated. © 2009 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Mixed boundary conditions, Piezoelectric material, Stress/electric intensity factor, Stress/electric singularity, Symplectic expansion

Citation Format(s)