scholarly journals Subsurface, thermoelastic line source excitation of a transversely isotropic half space

Wave Motion ◽  
2017 ◽  
Vol 72 ◽  
pp. 87-100 ◽  
Author(s):  
James B. Spicer ◽  
Fan W. Zeng ◽  
Lauren R. Olasov
Keyword(s):  
Half Space ◽  
Line Source ◽  
Transversely Isotropic ◽  
Source Excitation

scholarly journals Scattering from a Buried PEMC Cylinder due to a Line Source Excitation above a Planar Interface Between Two Isorefractive Half Spaces

2019 ◽  
Vol 8 (4) ◽  
pp. 1-6 ◽  
Author(s):  
A. K. Hamid ◽  
F. Cooray
Keyword(s):  
Circular Cylinder ◽  
Boundary Conditions ◽  
Half Space ◽  
Line Source ◽  
Planar Interface ◽  
The Other ◽  
Burial Depth ◽  
Cylinder Axis ◽  
Electric Line ◽  
Source Excitation

A solution to the problem of scattering from a perfect electromagnetic conducting (PEMC) circular cylinder   buried inside a half-space and excited by an infinite electric line source is provided. The line source is parallel to the cylinder axis, and is located in the other half-space. The two half spaces are isorefractive to each other. The source fields when incident at the planar interface separating the two half spaces, generate fields that are transmitted into the half-space where the cylinder is. These fields then become the known basic incident fields for the buried PEMC cylinder. Scattering of these incidents fields by the cylinder will consequently generate fields at the interface that get reflected back into the same half-space and transmitted frontward into the source half-space, all of which are unknown. Imposing appropriate boundary conditions at the surface of the buried cylinder and at a specified point on the interface, enables the evaluation of these unknown fields. The refection coefficient at the specified point is then computed for cylinders of different sizes, to demonstrate how it varies with the PEMC admittance of the buried cylinder, the intrinsic impedance ratio of the two isorefractive half-spaces, and the burial depth of the cylinder.

Vertical and horizontal vibrations of a rigid disc on a multilayered transversely isotropic half-space

2014 ◽  
Vol 61-62 ◽  
pp. 135-139 ◽  
Author(s):  
Morteza Eskandari-Ghadi ◽  
Seyed Masoud Nabizadeh ◽  
Azizollah Ardeshir-Behrestaghi
Keyword(s):  
Half Space ◽  
Transversely Isotropic ◽  
Rigid Disc

Indentation of a Transversely Isotropic Thermoporoelastic Half-Space by a Rigid Circular Cylindrical Punch

2017 ◽  
Vol 84 (11) ◽  
Author(s):  
Yilan Huang ◽  
Guozhan Xia ◽  
Weiqiu Chen ◽  
Xiangyu Li
Keyword(s):  
Half Space ◽  
Original Problem ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
The Finite Element Method ◽  
Thermal Fields ◽  
Cylindrical Punch ◽  
The One ◽  
Physical Quantities ◽  
Potential Theory Method

Exact solutions to the three-dimensional (3D) contact problem of a rigid flat-ended circular cylindrical indenter punching onto a transversely isotropic thermoporoelastic half-space are presented. The couplings among the elastic, hydrostatic, and thermal fields are considered, and two different sets of boundary conditions are formulated for two different cases. We use a concise general solution to represent all the field variables in terms of potential functions and transform the original problem to the one that is mathematically expressed by integral (or integro-differential) equations. The potential theory method is extended and applied to exactly solve these integral equations. As a consequence, all the physical quantities of the coupling fields are derived analytically. To validate the analytical solutions, we also simulate the contact behavior by using the finite element method (FEM). An excellent agreement between the analytical predictions and the numerical simulations is obtained. Further attention is also paid to the discussion on the obtained results. The present solutions can be used as a theoretical reference when practically applying microscale image formation techniques such as thermal scanning probe microscopy (SPM) and electrochemical strain microscopy (ESM).

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