Green's function for a piezoelectric layer-substrate structure with a general line defect

2002 ◽  
Vol 14 (1-4) ◽  
pp. 429-433 ◽  
Author(s):  
J.P. Nowacki ◽  
V.I. Alshits ◽  
A. Radowicz
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Piezoelectric Layer ◽  
Line Defect ◽  
Substrate Structure ◽  
General Line

scholarly journals Localization for a line defect in an infinite square lattice

2013 ◽  
Vol 469 (2150) ◽  
pp. 20120579 ◽  
Author(s):  
D. J. Colquitt ◽  
M. J. Nieves ◽  
I. S. Jones ◽  
A. B. Movchan ◽  
N. V. Movchan
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Asymptotic Expansions ◽  
Square Lattice ◽  
Line Defect ◽  
Linear Superposition ◽  
Asymptotic Expressions ◽  
Yield Information ◽  
Finite Line ◽  
Single Mass

Localized defect modes generated by a finite line defect composed of several masses, embedded in an infinite square cell lattice, are analysed using the linear superposition of Green's function for a single mass defect. Several representations of the lattice Green's function are presented and discussed. The problem is reduced to an eigenvalue system and the properties of the corresponding matrix are examined in detail to yield information regarding the number of symmetric and skew-symmetric modes. Asymptotic expansions in the far field, associated with long wavelength homogenization, are presented. Asymptotic expressions for Green's function in the vicinity of the band edge are also discussed. Several examples are presented where eigenfrequencies linked to this system and the corresponding eigenmodes are computed for various defects and compared with the asymptotic expansions. The case of an infinite defect is also considered and an explicit dispersion relation is obtained. For the case when the number of masses within the line defect is large, it is shown that the range of the eigenfrequencies can be predicted using the dispersion diagram for the infinite chain.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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