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期刊论文
E&ects of electric' eld on crack growth for a penny-shaped dielectric crack in a piezoelectric layer
Journal of the Mechanics and Physics of Solids 52(2004)2079-2100,-0001,():
The assumptions of impermeable and permeable cracks give rise to signi'cant errors in determining electro-elastic behavior of a cracked piezoelectric material. The former simply imposes that the permittivity or electric displacement of the crack interior vanishes, and the latter neglects also the e&ects of the dielectric of an opening crack interior. Considering the presence of the dielectric of an opening crack interior and the permeability of the crack surfaces for electric' eld, this paper analyzes electro-elastic behavior induced by a penny-shaped dielectric crack in a piezoelectric ceramic layer. In the cases of prescribed displacement or prescribed stress at the layer surfaces, the Hankel transform technique is employed to reduce the problem to Fredholm integral equations with a parameter dependent nonlinearly on the unknown functions. For an in' nite piezoelectric space, a closed-form solution can be derived explicitly, while for a piezoelectric layer, an iterative technique is suggested to solve the resulting nonlinear equations. Field intensity factors are obtained in terms of the solution of the equations. Numerical results of the crack opening displacement intensity factors are presented for a cracked PZT-5H layer and the e&ect of applied electric 'eld on crack growth are examined for both cases. The results indicate that the fracture toughness of a piezoelectric ceramic is a&ected by the direction of applied electric' elds, dependent on the elastic boundary conditions.
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