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Indexed by:期刊论文

Date of Publication:2009-10-01

Journal:INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Included Journals:SCIE、EI、Scopus

Volume:46

Issue:20

Page Number:3577-3586

ISSN No.:0020-7683

Key Words:Stress/electric intensity factor; Stress/electric singularity; Piezoelectric material; Symplectic expansion; Mixed boundary conditions

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 eigen-functions. 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. (C) 2009 Elsevier Ltd. All rights reserved.