The aim of this paper is to present scalar potential functions for three-dimensional elastodynamic problems in transversely isotropic media defined by different cylindrical coordinate systems. To do so, the standard cylindrical coordinate system, elliptical cylindrical coordinate system and parabolic cylindrical coordinate system are considered. By virtue of Poisson’s representation, Lamé solution and Chadwick-Trowbridge, the completeness of such representations is addressed. The representations given here are useful in the study of wave scattering from the circular, elliptical and parabolic edges.
Eskandari-Ghadi, M., & Ardeshir-Behrestaghi, A. (2011). Elastodynamic Scalar Potential Functions in Cylindrical Coordinate Systems. Journal of Civil and Surveying Engineering, 45(2), 125-131.
MLA
Morteza Eskandari-Ghadi; Azizollah Ardeshir-Behrestaghi. "Elastodynamic Scalar Potential Functions in Cylindrical Coordinate Systems", Journal of Civil and Surveying Engineering, 45, 2, 2011, 125-131.
HARVARD
Eskandari-Ghadi, M., Ardeshir-Behrestaghi, A. (2011). 'Elastodynamic Scalar Potential Functions in Cylindrical Coordinate Systems', Journal of Civil and Surveying Engineering, 45(2), pp. 125-131.
VANCOUVER
Eskandari-Ghadi, M., Ardeshir-Behrestaghi, A. Elastodynamic Scalar Potential Functions in Cylindrical Coordinate Systems. Journal of Civil and Surveying Engineering, 2011; 45(2): 125-131.