Abstract
In this paper, as is studied are the electro-elastic solutions for a piezoelectric halfspace subjected to a line force, a line charge and a line dislocation, i. e., Green's functions on the basis of Stroh formalism and the concept of analytical continuation, explicit expressions for Green's functions are derived. As a direct application of the results obtained, an infinite piezoelectric solid containing a semi-infinite crack is examined. Attention if focused on the stress and electric displacement fields of a crack tip. The stress and electric displacement intensity factors are given explicitly.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. S. Lee and L. Z. Jiang, A boundary integral formulation and 2-D fundamental solutions for piezoelectric media, Mech. Res. Commun., 21, 1 (1994), 47–54.
Q. Y. Meng and S. Y. Du, The fundamental solutions of boundary integral equation for a two-dimensonal prezoelectric media, Acta. Mech. Sol. Sin. (in Chinese), 16, 1 (1995), 90–95.
J. X. Liu, B. Wang and S. Y. Du, Two-dimensional electroelastic fundamental solutions for general anisotropic piezoelectric media, Applied Mathematics and Mechanics (English Ed.), 18, 10 (1997).
H. A. Sosa and M. A. Castro, On concentrated loads at the boundary of a piezoelectric half-plane, J. Mech. Phys. Solids, 42, 7 (1994), 1105–1122.
H. Fan, K. Y. Sze and W. Yang, Two-dimensional contact on a piezoelectric half-space, Int. J. Solids Struct., 33, 9 (1996), 1305–1315.
D. M. Barnett and J. Lothe, Dislocation and line charges in anisotropic piezoelectric in sulators, Phys. Stat. Sol. (b), 67 (1975), 105–111.
J. Liang, J. C. Han, B. Wang and S. Y. Du, Electro-elastic modelling of anisotropic piezoelectric materials with an elliptic inclusion, Int. J. Solids Struct., 32, 20 (1995), 2989–3000.
Y. E. Pak, Force on a piezoelectric screw dislocation, J. Appl. Mech., 57, 3 (1990), 863–869.
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Jinxi, L., Biao, W. & Shanyi, D. Electro-elastic green's functions for a piezoelectric half-space and their application. Appl Math Mech 18, 1037–1043 (1997). https://doi.org/10.1007/BF00132797
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00132797