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

被引:0
作者
Peng-Fei Hou
Wei Tian
Hai-Yang Jiang
机构
[1] Hunan University,State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body
[2] Hunan University,Department of Engineering Mechanics
来源
Zeitschrift für angewandte Mathematik und Physik | 2015年 / 66卷
关键词
34B27; 35A08; 65N38; Two-dimensional; Green’s function; Fluid; Piezoelectric; Line force; Line charge;
D O I
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中图分类号
学科分类号
摘要
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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页码:2001 / 2023
页数:22
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