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.

scholarly journals Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium

2016 ◽  
Vol 21 (1) ◽  
pp. 21-35
Author(s):  
R.R. Gupta ◽  
R.R. Gupta
Keyword(s):  
Wave Propagation ◽  
Temperature Distribution ◽  
Isotropic Medium ◽  
Lamb Waves ◽  
Transversely Isotropic ◽  
Type Ii ◽  
Transversely Isotropic Medium ◽  
Symmetric Wave ◽  
Secular Equations ◽  
Propagation Of Waves

Abstract The article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.

scholarly journals Effect of Rotation on Propagation of Waves in Transversely Isotropic Thermoelastic Half-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Raj Rani Gupta ◽  
Rajani Rani Gupta
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Thermal Wave ◽  
Isotropic Medium ◽  
Plane Waves ◽  
Transversely Isotropic ◽  
Reflection Coefficients ◽  
Governing Equations ◽  
Transversely Isotropic Medium ◽  
Propagation Of Waves

The present study is concerned with the effect of rotation on the propagation of plane waves in a transversely isotropic medium in the context of thermoelasticity theory of GN theory of types II and III. After solving the governing equations, three waves propagating in the medium are obtained. The fastest among them is a quasilongitudinal wave. The slowest of them is a thermal wave. The remaining is called quasitransverse wave. The prefix “quasi” refers to their polarizations being nearly, but not exactly, parallel or perpendicular to the direction of propagation. The polarizations of these three waves are not mutually orthogonal. After imposing the appropriate boundary conditions, the amplitudes of reflection coefficients have been obtained. Numerically simulated results have been plotted graphically with respect to frequency to evince the effect of rotation and anisotropy.

scholarly journals Effect of rotation on wave propagation in a transversely isotropic medium

2001 ◽  
Vol 7 (2) ◽  
pp. 147-154 ◽  
Author(s):  
F. Ahmad ◽  
A. Khan
Keyword(s):  
Wave Propagation ◽  
Isotropic Medium ◽  
Transversely Isotropic ◽  
Slow Waves ◽  
Fast Wave ◽  
Transversely Isotropic Medium ◽  
High Frequencies ◽  
Unbounded Medium ◽  
Axis Of Symmetry ◽  
Effects Of Rotation

Wave propagation in a transversely isotropic unbounded medium rotating about its axis of symmetry is studied. For propagation at high frequencies, effects of rotation are negligible but for a frequency which is much smaller than the frequency of rotation, there is a fast wave and two very slow waves. When the two frequencies are equal, the speed of a wave becomes unbounded.

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.

scholarly journals Study of Axi-Symmetric Vibrations in a Micropolar Transversely Isotropic Layer

2019 ◽  
Vol 24 (2) ◽  
pp. 259-268
Author(s):  
R.R. Gupta ◽  
R.R. Gupta
Keyword(s):  
Wave Propagation ◽  
Isotropic Medium ◽  
Lamb Waves ◽  
Transversely Isotropic ◽  
Isotropic Layer ◽  
Transversely Isotropic Medium ◽  
Symmetric Wave ◽  
Special Cases ◽  
Secular Equations ◽  
Transversely Isotropic Layer

Abstract The present investigation deals with the propagation of circular crested Lamb waves in a homogeneous micropolar transversely isotropic medium. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation are computed numerically for magnesium as a material and the dispersion curves, amplitudes of displacements and microrotation for symmetric and skew-symmetric wave modes are presented graphically to evince the effect of anisotropy. Some special cases of interest are also deduced.

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