Piezoelectric solid with an elliptic inclusion or hole

The two-dimensional problem of an elliptic hole in a solid of anisotropic piezoelectric material is studied. The Stroh formalism is adopted here. Real form solutions are obtained along the hole boundary in the case of an arbitrarily prescribed vector field on the hole surface. For an elliptic rigid inclusion of electric conductor subjected to a line force, a torque, and a line charge, a real form solution at the interface is obtained. Finally, general solutions for an elliptic piezoelectric inclusion with uniform loading at infinity are investigated.

[1]  T. Ting Some identities and the structure of ᵢ in the Stroh formalism of anisotropic elasticity , 1988 .

[2]  Zhigang Suo,et al.  Fracture mechanics for piezoelectric ceramics , 1992 .

[3]  D. M. Barnett,et al.  Dislocations and line charges in anisotropic piezoelectric insulators , 1975 .

[4]  T. C. T. Ting,et al.  Modern Theory of Anisotropic Elasticity and Applications , 1992 .

[5]  T. Ting,et al.  The anisotropic elastic solid with an elliptic hole or rigid inclusion , 1991 .

[6]  T. Ting,et al.  Solutions for the anisotropic elastic wedge at critical wedge angles , 1990 .

[7]  N. Bary,et al.  Treatise of Trigonometric Series , 1966 .

[8]  A. N. Stroh Steady State Problems in Anisotropic Elasticity , 1962 .

[9]  T. C. T. Ting,et al.  Explicit solution and invariance of the singularities at an interface crack in anisotropic composites , 1986 .

[10]  J. D. Eshelby,et al.  Anisotropic elasticity with applications to dislocation theory , 1953 .

[11]  A. N. Stroh Dislocations and Cracks in Anisotropic Elasticity , 1958 .

[12]  H. Sosa Plane problems in piezoelectric media with defects , 1991 .

[13]  Y. Eugene Pak,et al.  Circular inclusion problem in antiplane piezoelectricity , 1992 .

[14]  T. Ting Line Forces and Dislocations in Anisotropic Elastic Composite Wedges and Spaces , 1988 .

[15]  H. F. Tiersten,et al.  Linear Piezoelectric Plate Vibrations , 1969 .

[16]  T. Ting,et al.  TWO-DIMENSIONAL PROBLEMS OF THE ANISOTROPIC ELASTIC SOLID WITH AN ELLIPTIC INCLUSION , 1989 .