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1
Content available Study of axi-symmetric vibrations in a micropolar transversely isotropic layer
Gupta R. R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 2
259--268
EN
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.
2
Content available Investigation of waves generated in transversely isotropic micropolar generalized thermoelastic half space under temperature dependent properties
Gupta R. R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
|
2019
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Vol. 24, no. 4
53--65
EN
The present study deals with the propagation of waves in a transversely isotropic micropolar generalized thermoelastic material possessing temperature dependent elastic properties. After developing the solution for LS, GL and CT theory, the phase velocities and attenuation quality factor have been obtained. The expressions for amplitudes of stresses, displacements, microratation and temperature distribution have been derived and computed numerically. The numerically evaluated results have been plotted graphically. Some particular cases of interest have also been obtained.
3
Content available Flow behavior in weakly permeable micro-tube with varying viscosity near the wall
Gupta R. R., Kumar V., Chand S.
Polish Journal of Chemical Technology
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2017
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Vol. 19, nr 4
16--21
EN
Weakly permeable micro-tubes are employed in many applications involving heat and/or mass transfer. During these processes, either solute concentration builds up (mass transfer) or steep change in temperature (heat transfer) takes place near the permeable wall causing a change in the viscosity of the fluid. Results of the present work suggest that such change in viscosity leads to a considerable alteration in the flow behavior, and the commonly assumed parabolic velocity profile no longer exists. To solve the problem numerically, the equation of motion was simplified to represent permeation of incompressible, Newtonian fluid with changing viscosity through a micro-tube. Even after considerable simplification, the accuracy of the results was the same as that obtained by previously reported results for some specific cases using rigorous formulation. The algorithm developed in the present work is found to be numerically robust and simple so that it can be easily integrated with other simulations.
4
Content available Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
Gupta R. R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 1
21--35
EN
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.
5
Content available Wave propagation in a micropolar transversely isotropic generalized thermoelastic half-space
Gupta R. R.
International Journal of Applied Mechanics and Engineering
|
2014
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Vol. 19, no. 2
247--257
EN
Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation coefficient and specific loss as calculated from the different theories of generalized thermoelasticity along with the comparison of anisotropy. The amplitudes of displacements, microrotation, stresses and temperature distribution were also obtained. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically. Relevant results of previous investigations are deduced as special cases.
6
Content available Surface wave characteristics in a micropolar transversely isotropic halfspace underlying an inviscid liquid layer
Gupta R. R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2014
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Vol. 19, no. 1
49--60
EN
The present investigation deals with the propagation of waves in a micropolar transversely isotropic half space with an overlying inviscid fluid layer. Effects of fluid loading and anisotropy on the phase velocity, attenuation coefficient, specific loss and relative frequency shift. Finally, a numerical solution was carried out for aluminium epoxy material and the computer simulated results for the phase velocity, attenuation coefficient, specific loss and relative frequency shift are presented graphically. A particular case for the propagation of Rayleigh waves in a micropolar transversely isotropic half-space is deduced and dispersion curves are plotted for the same as functions of the wave number. An amplitude of displacements and microrotation together with the path of surface particles are also calculated for the propagation of Rayleigh waves in the latter case.
7
Content available Wave propagation in micropolar monoclinic thermoelastic half space
Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 4
1013--1023
EN
Propagation of waves in a micropolar monoclinic medium possessing hermoelastic properties based on the Lord- Shulman (L-S),Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories is discussed. The investigation is divided into two sections, viz., plane strain and anti-plane strain problem. After developing the solution, the phase velocities and attenuation quality factor have been derived and computed numerically. The numerical results have been plotted graphically.
8
Content available Reflection of waves in initially stressed transversely isotropic fibre-reinforced thermoelastic medium
Gupta R. R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 3
671--685
EN
The present investigation deals with the reflection of plane periodic waves incident at the surface of a homogeneous initially stressed transversely isotropic fibrereinforced thermoelastic medium. The wave equations are solved by imposing proper conditions on displacements, stresses and temperature distribution. Numerically simulated results have been depicted graphically for different angles of incidence with respect to frequency. Some special cases of interest have also been deduced from the present investigation.
9
Content available remote Propagation of waves in a micropolar transversely isotropic generalized thermoelastic half-space
Kumar R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 3
671-681
EN
Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of phase velocity, attenuation coefficient and specific loss as calculated from the different theories of generalized thermoelasticity along with the comparison of anisotropy. The amplitudes of displacements, microrotation, stresses and temperature distribution are also obtained. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically. Relevant results of previous investigations are deduced as special cases.
10
Content available remote Green's function for inhomogeneous thermoelastic medium
Kumar R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 4
1143-1153
EN
The article reports on a methodology to synthesize the response of an inhomogeneous thermoelastic half space subjected to an instantaneous mechanical and thermal source. The Fourier transform is used to solve the problem. The transformed components of normal stress, tangential stress, displacement and temperature distribution are obtained. The effect of inhomogenity is depicted graphically on the resulting quantities for a specific model. A numerical inversion technique is applied to obtain the solution in the physical domain.
11
Content available remote Property of Materials on Wave Propagation in Microstretch Generalized Thermoelastic Solid
Gupta R. R., Kumar R.
Mechanics and Mechanical Engineering
|
2009
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Vol. 13, nr 1
91-112
EN
The present paper is aimed at studying the effect of temperature dependent properties of elastic materials on wave propagation in a microstretch generalized thermoelastic solid. The mathematical model has been simplified by using the Helmholtz decomposition technique and secular equations connecting phase velocity with wave number, for symmetric and skew symmetric wave modes are derived. Phase velocity, attenuation coefficients, amplitude ratios and specific loss are obtained. The results obtained are compared with those obtained by author previous work. Finally, in order to illustrate the analytical developments, the numerical solution of secular equations, amplitude ratios and specific loss with wave number for different angle of inclination is carried out for magnesium crystal material with the help of Cardon's method. This type of study has many applications in various fields of science and technology.
12
Content available remote Deformation in fibre-reinforced elastic layer overlying fibre-reinforced generalized thermoelastic halfspace due to various sources
Kumar R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
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2009
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Vol. 14, no 2
389-401
EN
The problem of dynamic deformation of a fibre-reinforced elastic layer overlying a fibre-reinforced, transversely isotropic, generalized thermoelastic halfspace subjected to various sources has been studied. The closed form solutions for stresses and temperature distribution are obtained by applying thwe Laplace transform on time and Fourier transform on space variables. As an application of the approach concentrated, uniformly distributed and linearly distributed forces are taken. A numerical inversion technique has been applied to obtain the solution in the physical domain. The effect of anisotropy and comparison of different forces on the stress components and temperature distribution have been shown graphically for a particular model.
13
Content available remote Thermomechanical interactions due to a moving load at an interface of an acoustic fluid and micropolar thermoelastic solid possessing cubic symmetry
Kumar R., Gupta R. R.
International Journal of Applied Mechanics and Engineering
|
2008
|
Vol. 13, no 3
681-694
EN
The steady state response at an interface of an acoustic fluid and a micropolar thermoelastic medium possessing cubic symmetry due to a moving load has been studied. The thermoelastic theory formulated by Chandrashekharia and Tazu (1998) has been used. Fourier transforms have been inverted by using a numerical inversion technique. Effect of anisotropy on the components of normal strain, normal force stress, tangential couple stress, temperature distribution and pressure an acoustic fluid have been depicted graphically for different load velocities. Some special cases are also deduced.
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