Anti-plane shear crack in a functionally gradient piezoelectric layer bonded to dissimilar half spaces |
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Authors: | K.Q. Hu Z. Zhong B. Jin |
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Affiliation: | aDepartment of Building and Structural Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, PR China;bKey Laboratory of Solid Mechanics of MOE, School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, PR China |
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Abstract: | In this paper, the problem of a crack located in a functionally gradient piezoelectric interlayer between two dissimilar homogeneous piezoelectric half-planes being subjected to an anti-plane mechanical loading and an in-plane electric loading is considered. The material properties of the interlayer, such as the elastic stiffness, piezoelectric constant and dielectric constant, are assumed to vary continuously along the thickness of the interlayer, and the crack surface condition is assumed to be impermeable or permeable. By using the Fourier transform, the problem is first reduced to two pairs of dual integral equations and then into a Fredholm integral equation of the second kind. Numerical calculations are carried out, and the effects of crack geometric parameters on the stress intensity factor and the energy release rate are shown graphically. |
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Keywords: | Functionally gradient piezoelectric interlayer Crack Impermeable Permeable Stress intensity factor |
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