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Three-Dimensional Green's Functions in Multilayered Anisotropic Piezoelectric Materials

Published

Author(s)

B Yang, E Pan, Vinod Tewary

Abstract

Three-dimensional Green's functions due to a point force and a point charge in multilayered anisotropic piezoelectric materials have been derived within the framework of generalized Stroh formalism and two-dimensional Fourier transforms. The material in each layer is homogeneous, generally anisotropic, and linearly piezoelectric, and in general different from one another. The interfaces between adjacent layers are perfectly bonded, where the continuity conditions of displacement, traction, electric potential and normal electric displacement component are imposed. Numerical results of an AIN/InN superlattice are presented to demonstrate the validity and elegancy of this formulation.
Citation
Quarterly Journal of Mechanics and Applied Mathematics
Volume
13

Keywords

anisotropy, composite laminates, elasticity, generalized Stroh formalism, Green's function, piezoelectricity, semiconductor superlattice

Citation

Yang, B. , Pan, E. and Tewary, V. (2004), Three-Dimensional Green's Functions in Multilayered Anisotropic Piezoelectric Materials, Quarterly Journal of Mechanics and Applied Mathematics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=851317 (Accessed May 29, 2024)

Issues

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Created February 1, 2004, Updated October 12, 2021