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Anti-plane moving crack in a functionally graded piezoelectric layer between two dissimilar piezoelectric strips

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Abstract

The dynamic propagation of a crack in a functionally graded piezoelectric material (FGPM) interface layer between two dissimilar piezoelectric layers under anti-plane shear is analyzed using integral transform approaches. The properties of the FGPM layers vary continuously along the thickness. The FGPM layer and two homogeneous piezoelectric layers are connected weak-discontinuously. A constant velocity Yoffe-type moving crack is considered. The Fourier transform is used to reduce the problem to two sets of dual integral equations, which are then expressed to the Fredholm integral equations of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented for the FGPM to show the effects on electric loading, gradient of the material properties, crack moving velocity, and thickness of the layers. The following are helpful to increase resistance to crack propagation in the FGPM interface layer: (a) certain direction and magnitude of the electric loading, (b) increasing the thickness of the FGPM interface layer, and (c) increasing the thickness of the homogeneous piezoelectric layer to have larger material properties than those of the crack plane in the FGPM interface layer. The DERR always increases with the increase of crack moving velocity and the gradient of the material properties.

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Authors and Affiliations

  1. Korea Aerospace Research Institute, 169-84 Gwahak-ro, YouSeong-gu, Daejeon, 305-806, Korea

    Jeong Woo Shin

  2. Department of Mechanical Design Engineering, Chungnam National University, 99 Daehak-ro, YouSeong-gu, Daejeon, 305-764, Korea

    Young-Shin Lee

Authors
  1. Jeong Woo Shin
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  2. Young-Shin Lee
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Correspondence to Young-Shin Lee.

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Recommended by Editor Jai Hak Park

Jeong Woo Shin received a B.S. and Master’s degree in Mechanical Engineering from Yonsei University in Seoul, Korea in 1998 and 2000, respectively. A major field studied by Mr. Shin is fracture mechanics. He is currently working in the KARI (Korea Aerospace Research Institute) as a senior researcher. He conducted load and structural analysis of fixed wing aircraft and full scale airframe static test at the KARI.

Young-Shin Lee received a B.S. degree in Mechanical Engineering from Yonsei University, Korea in 1972. He received Master’s and Ph.D degrees in Mechanical Engineering from Yonsei University, Korea in 1974 and 1980, respectively. He is currently a professor in the Department of Mechanical Design Engineering at Chungnam National University, Korea. Prof. Lee’s research interests are in the areas of impact mechanics, optimal design, biomechanical analysis and shell structure analysis.

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Shin, J.W., Lee, YS. Anti-plane moving crack in a functionally graded piezoelectric layer between two dissimilar piezoelectric strips. J Mech Sci Technol 26, 1017–1025 (2012). https://doi.org/10.1007/s12206-012-0233-x

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  • DOI: https://doi.org/10.1007/s12206-012-0233-x

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