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This paper studies the influence of partial discharge (PD) on crack propagation in piezoelectric materials under combined mechanical and electric loads. According to Stroh formalism, the electric field is obtained based on the semi-permeable electrical boundary condition inside the crack. Then, the crack propagation effects of the electric field without PD are discussed through considering the contribution...
This paper studies the electric breakdown problem of a semi-permeable crack in piezoelectric material under combined mechanical and electric loads. According to Stroh formalism, the differences of the electric potential and the displacement of the crack are first derived and the quadratic equation containing the electric displacement inside the crack is obtained. Meanwhile, the electric field is also...
This work presents a brief introduction to the Faber polynomials and Faber series in order to reply to the comments made by Prof. Y. Z. Chen on “Faber series method for plane problems of an arbitrarily shaped inclusion (Luo and Gao in Acta Mech 208:133–145, 2009),” and finally, it is shown that his comments and conclusion are hasty and incorrect.
This paper presents an effective method for the plane problem of a coated inclusion of arbitrary shape embedded in an isotropic matrix subjected to uniform stresses at infinity. Based on the complex variable method combined with the expansion of Faber series and Laurent series, the complex potentials in the matrix, the coating and the arbitrary shape inclusion are given in the form of series with...
This paper studies the influence of mechanical-electric loads on partial discharge (PD) of a crack in a dielectric material. According to the complex potential theory, the electric field inside the crack is first derived by taking the crack deformation into account, and then the critical condition for Townsend-type discharge is discussed based on the law of Paschen. Finally, the influence of mechanical...
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