Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING   JULY 2003 , Volume 16 , Number 2 (TRANSACTIONS B: APPLICATIONS); Page(s) 105 To 122.
 
Paper: 

FUNDAMENTAL STEADY - STATE SOLUTION FOR THE TRANSVERSELY HSOTROPIC HALF-SPCE

 
 
Author(s):  NOURZAD A.A., ESKANDARI GHADI M., KONAGAI K.
 
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Abstract: 
Response of a transversely isotropic 3-D half-space subjected to a surface time-‎harmonic excitation is presented in analytical form. The derivation of the ‎fundamental solutions expressed in terms of displacements is based on the prefect ‎series of displacement potential functions that have been obtained in the companion ‎by the authors. First the governing equations are uncoupled in the cylindrical ‎coordinates. Then , the uncoupled equations are analytically solved to obtain Green ‎functions that are expressed in terms of Fourier series in the tangential direction of the ‎coordinates and in the terms of Hankel functions in its radial direction. The analytical ‎Green functions of this paper are exactly same as the results of lamb (1904) in the ‎case of isotropic material. The green functions can be used as the kernel functions of ‎the boundary integral equation that is used to solve elastodynamic boundary value ‎problems‏.‏
 
Keyword(s): TRANSVERSELY ISOTROPIC, ELASTODYNAMIC BOUNDARY VALUE PROBLEM, TIME HARMONIC, FUNDAMENTAL SOLUTION (GREEN FUNCTION ), FOURIER SERIES
 
References: 
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