Longitudinal Plane Wave Propagation in Elastic-Micropolar Porous Media

Hsia, Shao‐Yi; Cheng, Jyin−Wen

doi:10.1143/jjap.45.1743

Cited by 16 publications

(21 citation statements)

References 13 publications

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“…For micropolar elastic solid -M 1 (Polyurethane closed cell foam) (see Hsia and Cheng, 2006): k s = 2.09730 · 10 10 dyne/cm 2 , l s = 0.91822 · 10 10 dyne/cm 2 , K s = 0.22956 · 10 10 dyne/cm 2 , a s = À0.0000291 · 10 10 dyne, b s = 0.000045 · 10 10 dyne, c s = 0.0000423 · 10 10 dyne, j s = 0.037 cm 2 , q s = 0.0034 g/cm 3 . For micropolar viscous fluid medium -M 2 : k f = 1.5 · 10 10 dyne s/cm 2 , l f = 0.3 · 10 10 dyne s/cm 2 , K f = 0.00223 · 10 10 dyne s/cm 2 , a f = 0.00111 · 10 10 dyne s, b f = 0.0022 · 10 10 dyne s, c f = 0.000222 · 10 10 dyne s, j f = 0.0400 cm 2 , q f = 0.8 g/cm 3 and x/x 0 = 100.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Longitudinal waves at a micropolar fluid/solid interface

Singh¹,

Tomar²

2008

International Journal of Solids and Structures

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The possibility of plane wave propagation in a micropolar fluid of infinite extent has been explored. The reflection and transmission of longitudinal elastic wave at a plane interface between a homogeneous micropolar fluid half-space and a micropolar solid half-space has also been investigated. It is found that there can exist four plane waves propagating with distinct phase speeds in an infinite micropolar fluid. All the four waves are found to be dispersive and attenuated. The reflection and transmission coefficients are found to be the functions of the angle of incidence, the elastic properties of the half-spaces and the frequency of the incident wave. The expressions of energy ratios have also been obtained in explicit form. Frequency equation for the Stoneley wave at micropolar solid/fluid interface has also been derived in the form of sixth-order determinantal expression, which is found in full agreement with the corresponding result of inviscid liquid/elastic solid interface. Numerical computations have been performed for a specific model. The dispersion curves and attenuation of the existed waves in micropolar fluid have been computed and depicted graphically. The variations of various amplitudes and energy ratios are also shown against the angle of incidence. Results of some earlier workers have been deduced from the present formulation.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Longitudinal waves at a micropolar fluid/solid interface

Singh¹,

Tomar²

2008

International Journal of Solids and Structures

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“…Different authors (Parfitt and Eringen, 1969;Kumar and Singh, 1998a;Singh and Kumar, 1998b;Tomar et al, 1998;Kumar, 2000;Kumar and Sharma, 2005;Hsia and Cheng, 2006;Hsia et al, 2007;Singh, 2007;Kumar and Rupender, 2008;) investigated the problems of reflection at the free surface of a micropolar elastic half space and micropolar thermoelastic half space.…”

Section: Ksharmamentioning

confidence: 99%

Reflection at Free Surface in Micropolar Thermoelastic Solid with two Temperatures

Sharma¹

2013

International Journal of Applied Mechanics and Engineering

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The present investigation is concerned with the effect of two temperatures on reflection coefficients in a micropolar thermoelastic solid half space. With two relaxation times, reflection of plane waves impinging obliquely at a plane interface of the micropolar generalized thermoelastic solid half space with two temperatures is investigated. The incident wave is assumed to be striking at the plane surface after propagating through the micropolar generalized thermoelastic solid with two temperatures. Amplitude ratios of the various reflected waves are obtained in closed form and it is found that these are functions of angle of incidence, frequency and are affected by the elastic properties of the media. The effect of two temperatures is shown on these amplitude ratios for a specific model.

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“…The theory of elastic and viscoelastic micropolar liquids was studied by Yeremeyev and Zubov [14]. Hsia and Cheng [15] discussed longitudinal plane waves propagation in elastic micropolar porous media. Hsia et al [16] studied propagation of transverse waves in elastic micropolar porous semispaces.…”

Section: Introductionmentioning

confidence: 99%

Plane Waves and Fundamental Solutions in Heat Conducting Micropolar Fluid

Kumar

Kaur

2016

Journal of Fluids

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In the present investigation, we study the propagation of plane waves in heat conducting micropolar fluid. The phase velocity, attenuation coefficient, specific loss, and penetration depth are computed numerically and depicted graphically. In addition, the fundamental solutions of the system of differential equations in case of steady oscillations are constructed. Some basic properties of the fundamental solution and special cases are also discussed.

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Longitudinal Plane Wave Propagation in Elastic-Micropolar Porous Media

Cited by 16 publications

References 13 publications

Longitudinal waves at a micropolar fluid/solid interface

Longitudinal waves at a micropolar fluid/solid interface

Reflection at Free Surface in Micropolar Thermoelastic Solid with two Temperatures

Plane Waves and Fundamental Solutions in Heat Conducting Micropolar Fluid

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