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Two-dimensional Green’s functions for the fluid and piezoelectric two-phase plane under the line forces and line charge

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Abstract

The two-dimensional Green’s functions for two line forces and a line charge applied in the interior of the fluid and piezoelectric two-phase plane are presented in this paper. By virtue of the two-dimensional general solutions which are expressed in harmonic functions, six newly introduced harmonic functions with undetermined constants are constructed. Then, all the piezoelectric components in the fluid and piezoelectric two-phase plane can be derived by substituting these harmonic functions into the corresponding general solutions. The undetermined constants can be obtained by the interface compatibility conditions and the mechanical and electric equilibrium conditions. Numerical results are given graphically by contours.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Peng-Fei Hou, Wei Tian & Hai-Yang Jiang

  2. Department of Engineering Mechanics, Hunan University, Changsha, 410082, People’s Republic of China

    Peng-Fei Hou, Wei Tian & Hai-Yang Jiang

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  1. Peng-Fei Hou
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  2. Wei Tian
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  3. Hai-Yang Jiang
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Correspondence to Peng-Fei Hou.

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Hou, PF., Tian, W. & Jiang, HY. Two-dimensional Green’s functions for the fluid and piezoelectric two-phase plane under the line forces and line charge. Z. Angew. Math. Phys. 66, 2001–2023 (2015). https://doi.org/10.1007/s00033-014-0487-5

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  • DOI: https://doi.org/10.1007/s00033-014-0487-5

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