SCATTERING OF THE HARMONIC STRESS WAVE BY CRACKS IN FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS

The present paper considers the scattering of the time harmonic stress wave by a single crack and two collinear cracks in functionally graded piezoelectric material （FGPM）. It is assumed that the properties of the FGPM vary continuously as an exponential function. By using the Fourier transform and...

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Bibliographic Details
Published in:Acta mechanica solida Sinica 2005-12, Vol.18 (4), p.295-301
Main Author: Ma Li Nie Wu Wu Linzhi Zhou Zhengong
Format: Article
Language:English
Subjects:
固体力学
官能分级压电材料
应力强度因素
应力波
Online Access:Get full text
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Summary:The present paper considers the scattering of the time harmonic stress wave by a single crack and two collinear cracks in functionally graded piezoelectric material （FGPM）. It is assumed that the properties of the FGPM vary continuously as an exponential function. By using the Fourier transform and defining the jumps of displacements and electric potential components across the crack surface as the unknown functions, two pairs of dual integral equations are derived. To solve the dual integral equations, the jumps of the displacement and electric potential components across the crack surface are expanded in a series of Jacobi polynomials. Numerical examples are provided to show the influences of material properties on the dynamic stress and the electric displacement intensity factors.
ISSN:0894-9166
1860-2134
DOI:10.1007/s10338-005-0537-9