The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts
Author(s)
Author(s)
Zhou, Z. H.
Xu, X. S.
Date Issued
2009
Publisher
Elsevier
Journal
International Journal of Solids and Structures
Volume
46
Issue
20
Start page
3577
End page
3586
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.
SFU Affiliated Publication
No
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