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Based on the complex potential method and linear-elastic piezoelectric constitutive equation, the anti-plane problems of a piezoelectric inclusion with an elliptic hole or crack in an infinite piezoelectric matrix are studied. Firstly, by using the conformal transformation and Taylor series, the complex potential functions in the piezoelectric matrix and inclusion are given, respectively, in form...
This paper is to study the non-axisymmetric two-dimensional problem of thermal stresses in an infinite matrix with a functionally graded coated circular inclusion based on complex variable method. With using the method of piece-wise homogeneous layers, the general solution for the functionally graded coating having radial arbitrary elastic properties is derived when the matrix is subjected to uniform...
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