Point force and point electric charge applied to the boundary of threedimensional anisotropic piezoelectric solid
We derive the Green's functions for a threedimensional semiinfinite fully anisotropic piezoelectric material using the plane wave theory method. The solution gives the complete set of electromechanical fields due to an arbitrarily oriented point force and a point electric charge applied to the boundary of the halfspace. Moreover, the solution constitutes generalization of Boussinesq's and Cerruti's problems of elastic isotropy for the anisotropic piezoelectric materials. On the example of piezoceramics PZT6B, the present results are compared with the previously obtained solution for the special case of transversely isotropic piezoelectric solid subjected to the same boundary condition.
 Authors:

^{[1]};
^{[2]}
;
^{[3]};
^{[4]};
^{[5]}
 Russian Academy of Sciences (RAS), Moscow (Russian Federation)
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Janis Research Company, Inc., Woburn, MA (United States)
 Suffolk Univ., Boston, MA (United States)
 Department of Mathematics and Computer Science, Suffolk University, Boston, Massachusetts 02114, USA
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Applied Physics
 Additional Journal Information:
 Journal Volume: 118; Journal Issue: 7; Journal ID: ISSN 00218979
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE
 OSTI Identifier:
 1265828
Borovikov, V. A., Kalinin, S. V., Khavin, Yu., Mirman, B., and Karapetian, E.. Point force and point electric charge applied to the boundary of threedimensional anisotropic piezoelectric solid. United States: N. p.,
Web. doi:10.1063/1.4927808.
Borovikov, V. A., Kalinin, S. V., Khavin, Yu., Mirman, B., & Karapetian, E.. Point force and point electric charge applied to the boundary of threedimensional anisotropic piezoelectric solid. United States. doi:10.1063/1.4927808.
Borovikov, V. A., Kalinin, S. V., Khavin, Yu., Mirman, B., and Karapetian, E.. 2015.
"Point force and point electric charge applied to the boundary of threedimensional anisotropic piezoelectric solid". United States.
doi:10.1063/1.4927808. https://www.osti.gov/servlets/purl/1265828.
@article{osti_1265828,
title = {Point force and point electric charge applied to the boundary of threedimensional anisotropic piezoelectric solid},
author = {Borovikov, V. A. and Kalinin, S. V. and Khavin, Yu. and Mirman, B. and Karapetian, E.},
abstractNote = {We derive the Green's functions for a threedimensional semiinfinite fully anisotropic piezoelectric material using the plane wave theory method. The solution gives the complete set of electromechanical fields due to an arbitrarily oriented point force and a point electric charge applied to the boundary of the halfspace. Moreover, the solution constitutes generalization of Boussinesq's and Cerruti's problems of elastic isotropy for the anisotropic piezoelectric materials. On the example of piezoceramics PZT6B, the present results are compared with the previously obtained solution for the special case of transversely isotropic piezoelectric solid subjected to the same boundary condition.},
doi = {10.1063/1.4927808},
journal = {Journal of Applied Physics},
number = 7,
volume = 118,
place = {United States},
year = {2015},
month = {8}
}