Asymmetric wave propagation in a transversely isotropic half-space in displacement potentials

2008 ◽  
Vol 46 (7) ◽  
pp. 690-710 ◽  
Author(s):  
A. Khojasteh ◽  
M. Rahimian ◽  
M. Eskandari ◽  
R.Y.S. Pak
Keyword(s):  
Wave Propagation ◽  
Half Space ◽  
Transversely Isotropic ◽  
Displacement Potentials ◽  
Asymmetric Wave

Asymmetric Wave Propagation in an Elastic Half-Space by a Method of Potentials

1987 ◽  
Vol 54 (1) ◽  
pp. 121-126 ◽  
Author(s):  
R. Y. S. Pak
Keyword(s):  
Wave Propagation ◽  
Dynamic Response ◽  
Half Space ◽  
Elastic Half Space ◽  
Displacement Potential ◽  
Uniform Distributions ◽  
Time Harmonic ◽  
Method Of Potentials ◽  
Transformed Stress ◽  
Asymmetric Wave

A method of potentials is presented for the derivation of the dynamic response of an elastic half-space to an arbitrary, time-harmonic, finite, buried source. The development includes a set of transformed stress-potential and displacement-potential relations which are apt to be useful in a variety of wave propagation problems. Specific results for an embedded source of uniform distributions are also included.

Wave propagation in an initially stressed transversely isotropic thermoelastic half-space

2014 ◽  
Vol 23 (5-6) ◽  
pp. 185-190 ◽  
Author(s):  
Raj Rani Gupta ◽  
M.S. Saroa
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Boundary Conditions ◽  
Half Space ◽  
Isotropic Medium ◽  
Transversely Isotropic ◽  
Type Ii ◽  
Transversely Isotropic Medium ◽  
Temperature Distributions ◽  
Thermoelasticity Theory

AbstractThe present paper deals with the study of reflection waves in an initially stressed transversely isotropic medium, in the context of Green and Naghdi (GN) thermoelasticity theory type II and III. The components of displacement, stresses and temperature distributions are determined through the solution of the wave equation by imposing the appropriate boundary conditions. Numerically simulated results are plotted graphically with respect to frequency in order to show the effect of anisotropy.

Dispersion Study of Propagation of Torsional Surface Wave in a Layered Structure

2017 ◽  
Vol 33 (3) ◽  
pp. 303-315 ◽  
Author(s):  
S. Gupta ◽  
N. Bhengra
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Boundary Conditions ◽  
Half Space ◽  
Layered Structure ◽  
Transversely Isotropic ◽  
Whittaker Function ◽  
Anisotropic Layer ◽  
Surface Wave Propagation ◽  
Torsional Surface Wave

AbstractThis paper presents the feasibility of torsional surface wave propagation in an anisotropic layer sandwiched between two anisotropic inhomogeneous media. The anisotropy considered in the upper layer and the lower half-space is of transversely isotropic kind while the sandwiched anisotropic layer is a porous layer. The directional rigidities and density have been considered linearly and exponentially varying in the half-space and in the upper layer respectively, while it is taken as a variable in the sandwiched layer. The compact form of dispersion equation governing the propagation of the torsional surface wave has been derived by using the Whittaker function under appropriate boundary conditions. The dispersion of the torsional wave and the effects of inhomogeneity parameters, initial stress and poroelastic constant have been calculated numerically and demonstrated through graphs.

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