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Penny-shaped crack in transversely isotropic piezoelectric materials. (English) Zbl 0817.73052
The author presents two forms of the generalized static solutions describing the electromechanical behavior of a transversely isotropic piezoelectric continuum in the cylindrical coordinates. The general three-dimensional axisymmetric solutions are reduced to finding either one function of higher order or three quasi-harmonic functions. Then, a penny-shaped crack embedded in the piezoelectric continuum is investigated under axisymmetric static tensile load. The Fourier-Hankel transformation is used. The crack-tip stress field and the electric displacement field are obtained. The results presented can be readily used to solve the penny-shaped crack under radial shear loading. The paper may appeal to researchers interested in the fracture of piezoelectric materials.

MSC:
74F15 Electromagnetic effects in solid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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