Abstract
By using the complex variables function theory, a plane strain electro-elastic analysis was performed on a transversely isotropic piezoelectric material containing an elliptic elastic inclusion, which is subjected to a uniform stress field and a uniform electric displacement loads at infinity. Based on the present finite element results and some related theoretical solutions, an acceptable conjecture was found that the stress field is constant inside the elastic inclusion. The stress field solutions in the piezoelectric matrix and the elastic inclusion were obtained in the form of complex potentials based on the impermeable electric boundary conditions.
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Communicated by YUE Zhu-feng
Project supported by the National Natural Science Foundation of China ( Nos. 50275073 and 10372044) and the National Aeronautics Science Foundation of China (No. 03B5201)
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Dai, Lc., Guo, Wl. & She, Cm. Plane strain problem of piezoelectric solid with elliptic inclusion. Appl. Math. Mech.-Engl. Ed. 26, 1615–1622 (2005). https://doi.org/10.1007/BF03246271
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DOI: https://doi.org/10.1007/BF03246271