Dynamic Green’s functions for a liquid layer overlying a transversely isotropic solid half-space due to an arbitrary source excitation within the liquid

Wave Motion ◽  
2016 ◽  
Vol 63 ◽  
pp. 83-97 ◽  
Author(s):  
Amirhossein Bagheri ◽  
Ali Khojasteh ◽  
Mohammad Rahimian ◽  
Stewart Greenhalgh
Keyword(s):  
Half Space ◽  
Liquid Layer ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic ◽  
Isotropic Solid ◽  
Source Excitation

Half-Space Green’s Functions for Transversely Isotropic Piezoelectric Solids

1999 ◽  
Vol 66 (3) ◽  
pp. 675-679 ◽  
Author(s):  
M. L. Dunn ◽  
H. A. Wienecke
Keyword(s):  
Half Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic ◽  
Closed Form Solutions ◽  
Plane Normal ◽  
Unique Material ◽  
Piezoelectric Solid ◽  
Piezoelectric Solids ◽  
Harmonic Equation

We obtain explicit closed-form solutions for the half-space Green’s functions for a transversely isotropic piezoelectric solid. The boundary of the half-space is taken to be a plane normal to the unique material axis. The Green’s functions are obtained using a formulation where general solutions in transversely isotropic piezoelectricity are expressed in terms of two potential functions; one satisfying a weighted triharmonic equation and the other satisfying a weighted harmonic equation. By assuming a series solution for the potentials we derive explicit expressions for the Green’s functions.

Asymmetric Dynamic Green’s Functions in a Two-Layered Transversely Isotropic Half-Space

2008 ◽  
Vol 134 (9) ◽  
pp. 777-787 ◽  
Author(s):  
Ali Khojasteh ◽  
Mohammad Rahimian ◽  
Ronald Y. S. Pak ◽  
Morteza Eskandari
Keyword(s):  
Half Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic
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