The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack

Gao Cunfa; Fan Weixun

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Gao Cunfa, Fan Weixun. The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack[J]. Applied Mathematics and Mechanics, 1998, 19(11): 865-973.

Citation:

Gao Cunfa, Fan Weixun. The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack[J]. Applied Mathematics and Mechanics, 1998, 19(11): 865-973.

Citation:

Gao Cunfa, Fan Weixun. The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack[J]. Applied Mathematics and Mechanics, 1998, 19(11): 865-973.

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The Fundamental Solutions for the Plane Problem in Piezoelectric Media with an Elliptic Hole or a Crack

Department of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

Received Date: 1997-11-13
Publish Date: 1998-11-15

Abstract

Abstract

Based on the complex potential method, the Green's functions of the plane problem in transversely isotropic piezoelectric media with an elliptic hole are obtained in terms of exact electric boundary conditions at therim of the hole. When the elliptic hole degenerates into a crack, the fundamental solutions for the field intensity factors are given. The general solutions for concentrated and distributed loads applied on the surface of the hole or crack are produced through the superposition of the fundamental solustions. With the aid of these soltuions, some erroneous results provided previously in other works are pointed out. More important is that these solutions can be used as the fundamental solutions of boundary method to solve more practical problems in piezoelectric media.
- piezoelectric media,
- elliptic hole,
- crack,
- plane strain,
- fundamental solution

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References(18)

References

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