In-plane dynamic Green’s functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic half-space

2018 ◽  
Vol 17 (2) ◽  
pp. 293-309 ◽  
Author(s):  
Zhenning Ba ◽  
Zeqing Kang ◽  
Jianwen Liang
Keyword(s):  
Half Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic ◽  
Uniformly Distributed Loads

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.

Transient Green's functions of a buried pulse in a constrained transversely isotropic half-space

2021 ◽  
Vol 166 ◽  
pp. 103516
Author(s):  
Mehdi Raoofian-Naeeni ◽  
Morteza Eskandari-Ghadi ◽  
Ernian Pan
Keyword(s):  
Half Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Transversely Isotropic

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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