Journal
COMPOSITE STRUCTURES
Volume 69, Issue 4, Pages 436-441Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2004.08.001
Keywords
functionally graded piezoelectric materials (FGPMs); crack; stress intensity factor; stress wave
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In the present paper, the dynamic behavior of a Griffth crack in the functionally graded piezoelectric material (FGPM) is investigated. It is assumed that the elastic stiffness, piezoelectric constant, dielectric permittivity and mass density of the FGPM vary continuously as an exponential function, and that FGPM is under the anti-plane mechanical loading and in-plane electrical loading. By using the Fourier transform and defining the jumps of displacement 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 polynomial. Numerical examples are provided to show the effects of material properties on the stress and the electric displacement intensity factors. (c) 2004 Elsevier Ltd. All rights reserved.
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