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

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

doi:10.1016/j.ijsolstr.2009.06.005

Author(s)

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

Detail(s)

Original language	English
Pages (from-to)	3577-3586
Journal / Publication	International Journal of Solids and Structures
Volume	46
Issue number	20
Publication status	Published - 1 Oct 2009

Link(s)

DOI	DOI https://doi.org/10.1016/j.ijsolstr.2009.06.005 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-68149091432&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(57aeef29-3931-4c00-9335-f55d27291b8f).html

Abstract

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)

[ RIS ] [ BibTeX ]

The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts. / Zhou, Z. H.; Xu, X. S.; Leung, A. Y T.
In: International Journal of Solids and Structures, Vol. 46, No. 20, 01.10.2009, p. 3577-3586.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Zhou, ZH, Xu, XS & Leung, AYT 2009, 'The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts', International Journal of Solids and Structures, vol. 46, no. 20, pp. 3577-3586. https://doi.org/10.1016/j.ijsolstr.2009.06.005

Zhou, Z. H., Xu, X. S., & Leung, A. Y. T. (2009). The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts. International Journal of Solids and Structures, 46(20), 3577-3586. https://doi.org/10.1016/j.ijsolstr.2009.06.005

Zhou ZH, Xu XS, Leung AYT. The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts. International Journal of Solids and Structures. 2009 Oct 1;46(20):3577-3586. doi: 10.1016/j.ijsolstr.2009.06.005

Zhou, Z. H. ; Xu, X. S. ; Leung, A. Y T. / The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts. In: International Journal of Solids and Structures. 2009 ; Vol. 46, No. 20. pp. 3577-3586.