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1
Content available Plane waves in thermo-viscoelastic material with voids under different theories of thermoelasticity
Tomar S. K., Goyal N., Szekeres A.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 3
691--708
EN
Propagation of time harmonic plane waves in an infinite thermo-viscoelastic material with voids has been investigated within the context of different theories of thermoelasticity. The equations of motion developed by Iesan [1] have been extended to incorporate the Lord-Shulman theory (LST) and Green-Lindsay theory (GLT) of thermoelasticity. It has been shown that there exist three coupled dilatational waves and an uncoupled shear wave propagating with distinct speeds. The presence of thermal, viscosity and voids parameters is responsible for the coupling among dilatational waves. All the existing waves are found to be dispersive and attenuated in nature. The phase speeds and attenuation coefficients of propagating waves are computed numerically for a copper material and compared under different theories of thermo-elasticity. The expressions of energies carried along each wave have also been derived. All the computed numerical results have been depicted through graphs. It is found that the influence of CT and GLT is almost same on wave propagation, while LST influences the wave propagation differently.
2
Content available remote Wave propagation in a micropolar elastic layer sandwiched between liquid haIf-space and mnicropolar solid half-space
Tomar S. K.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 1
255-262
EN
A problem of surface waves in a layer of micropolar elastic material overlying a micropolar elastic haIf-space and underlying a liquid haIf-space is studied. The frequency equation is derived, and then solved numerically for particular models. Numerical results show that there exist infinite numbers of modes of propagation. It is found that the surface waves are dispersive for all modes of propagation except the lowest one, which is almost non-dispersive. The numericaI results obtained are presented graphicaIly.
3
Content available remote Plane SH-wave response from elastic slab interposed between two different self-reinforced elastic solids
Chaudhary S., Kaushik V. P., Tomar S. K.
International Journal of Applied Mechanics and Engineering
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2006
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Vol. 11, no 4
787-801
EN
Closed form expressions of reflection and transmission coefficients are obtained when a plane SH-wave becomes incident at a uniform elastic layer interposed between two different self-reinforced elastic solid half-spaces. It is found that the reflection and transmission coefficients are strongly influenced by the reinforcement parameters of the half-spaces. Numerical computations are performed for a specific model to study the effect of reinforcement parameters and angle of incidence of the incident wave on these coefficients. Numerical study reveals that both reflection and transmission coefficients are significantly influenced by the reinforcement parameters in the entire range of angle of incidence, except at normal and grazing incidence where the effect of reinforcement parameters is found minimum. Known results of some earlier workers are reduced from the present formulations.
4
Content available remote Free transverse vibrations of monoclinic rectangular plates with continuously varying thickness and density
Kumar Y., Tomar S. K.
International Journal of Applied Mechanics and Engineering
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2006
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Vol. 11, no 4
881-900
EN
Free transverse vibrations of a rectangular plate composed of a monoclinic elastic material are discussed. The plate is considered to be exponentially varying in density and thickness along one direction of the plate. Hamilton's principle is used to derive the equation of motion and its solution is obtained using Chebyshev collocation technique. Frequency equations are derived for three boundary value problems when two edges of the plate are simply supported and the other two have different possibilities, namely (i) C - S - C - S (ii) C - S - S - S (iii) C - S - F - S, where C, S and F denote the clamped, simply supported and free edge respectively. Effects of thickness and density variation on modes of vibrations have been analyzed. Numerical computations have been performed for a specific model of monoclinic plates and the results obtained are compared with those for orthotropic plates already given in Lal (2003).
5
Content available remote Propagation of SH-wave through an elastic slab sandwiched between two half-spaces
Tomar S. K., Singh B.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 2
345-358
EN
Two boundary value problems are investigated in this paper: first, a plane SH-wave incident upon a slab of monoclinic crystal which is interposed between two uniform elastic solid half-spaces; second, a plane SH-wave incident upon a linear homogeneous isotropic elastic slab interposed between two monoclinic elastic half-spaces. The expressions of reflection and transmission coefficients are derived in a closed form and several particular cases are discussed. Elastic constants for rock gypsum (CaSO4.2H2O) are used in numerical computations to describe the effect of monoclinic properties on reflection and transmission coefficients. It is found that there is a significant effect of the interposed layer on reflection and transmission coefficients.
6
Content available remote Transmission of plane SH-wave through a self-reinforced elastic slab sandwiched between two anisotropic inhomogeneous elastic solid half-spaces
Chaudhary S., Kaushik V. P., Tomar S. K.
International Journal of Applied Mechanics and Engineering
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2004
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Vol. 9, no 1
131-146
EN
A problem of reflection and transmission of an SH-wave through a self-reinforced elastic slab (layer) sandwiched between two transversely isotropic and inhomogeneous elastic solid half-spaces has been investigated. Formulae for reflection and refraction coefficients are obtained in a closed form and it is found that these coefficients are strongly influenced by the anisotropy and inhomogeneity of the half-spaces and on the reinforcement parameters of the sandwiched layer. These coefficients are computed for different values of heterogeneity parameters of the half-spaces and reinforcement parameters of the sandwiched layer. An effect of thickness of sandwiched layer on these coefficients is also noticed.
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