| Summary: | 碩士 === 國立成功大學 === 機械工程學系碩博士班 === 94 === The electro-elastic problems of a functionally graded piezoelectric material wedge under longitudinal shear load and inplane electrical load are studied in this paper. The material properties are assumed as a continuous function along radial direction. After applying Mellin transform and Residues theorem, the singularity orders, the physical quantities in the electro-elastic field are obtained in explicit forms for three different boundary conditions (flux-flux, potential-potential, flux-potential).
The results show that the singularity orders depend strongly on the nonhomogeneous material parameter, the wedge angle and the boundary conditions. When one of the boundary edges is subjected to uniformly distributed shear force and/or electrical displacement starting from the apex of the wedge, the r-type singularity will be shifted to log(r)-type singularity if the special condition is satisfied. The analytical expressions of the displacements, electrical potentials, stresses, and the electrical displacements can be simplified to the degenerated problems such as the functionally graded elastic material wedge problem, the piezoelectric wedge problem, and the elastic wedge problem.
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