The reflection and transmission of a quasi-longitudinal displacement wave at an imperfect interface between two nonlocal orthotropic micropolar half-spaces

2021 ◽  
Author(s):  
Do Xuan Tung
Keyword(s):  
Imperfect Interface ◽  
Longitudinal Displacement ◽  
Reflection And Transmission ◽  
Displacement Wave

Propagation Characteristics of Longitudinal Displacement Wave in Micropolar Fluid with Micropolar Elastic Plate

2011 ◽  
Vol 694 ◽  
pp. 923-927 ◽  
Author(s):  
Qing Yong Sun ◽  
Hong Yu Xu ◽  
Bin Liang
Keyword(s):  
Transmission Coefficient ◽  
Elastic Plate ◽  
Micropolar Fluid ◽  
Incident Angle ◽  
Angle Of Incidence ◽  
Longitudinal Displacement ◽  
Reflection And Transmission ◽  
Variation Characteristics ◽  
Displacement Wave ◽  
Fluid Theory

Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of three kinds of micropolar elastic waves, which are longitudinal displacement wave and two coupled waves, were studied when incident longitudinal displacement wave propagated in micropolar fluid with micropolar elastic plate. Using numerical example, the variations of various amplitudes are also shown against the angle of incidence and the variation characteristics of various amplitudes are discussed. Results show that there exist maximum values of reflection and transmission coefficient for coupled wave, however, there exist minimum values of reflection coefficient for longitudinal displacement wave, and transmission coefficient decreases with the incident angle and the transmission coefficient are smaller for bigger incident angle.

Reflection and Transmission of Longitudinal Displacement Wave through Micropolar Fluid Interlayer in Micropolar Solid

2013 ◽  
Vol 438-439 ◽  
pp. 408-412
Author(s):  
Song Yang Dang ◽  
Hong Yu Xu ◽  
Qing Yong Sun ◽  
Bin Liang
Keyword(s):  
Micropolar Fluid ◽  
Incidence Angle ◽  
Incident Angle ◽  
Normal Incidence ◽  
Grazing Incidence ◽  
Longitudinal Displacement ◽  
Reflection And Transmission ◽  
Transmitted Waves ◽  
Displacement Wave ◽  
Fluid Theory

Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of longitudinal displacement wave and two coupled waves are studied when incident longitudinal displacement plane wave propagates through micropolar fluid interlayer in micropolar solid. Theoretical and numerical analytical results reveal that in general the amplitude ratios of various reflected and transmitted waves are functions of the incidence angle, the frequency of the incident wave and the material properties of the medium. At normal incidence, the reflection and transmission of only longitudinal waves take place and no coupled transverse wave is found to reflect or transmit. At grazing incidence, no reflection or transmission phenomena take place and the same wave propagates along the interface. The change rules of the amplitudes varied with incident angle are also discussed.

Propagation Characteristics of Coupled Wave through Micropolar Fluid Interlayer in Micropolar Elastic Solid

2013 ◽  
Vol 721 ◽  
pp. 729-732 ◽  
Author(s):  
Song Yang Dang ◽  
Hong Yu Xu ◽  
Qing Yong Sun ◽  
Bin Liang
Keyword(s):  
Transmission Coefficient ◽  
Micropolar Fluid ◽  
Incident Angle ◽  
Elastic Solid ◽  
Longitudinal Displacement ◽  
Reflection And Transmission ◽  
Reflection And Transmission Coefficient ◽  
Displacement Wave ◽  
Fluid Theory ◽  
Coupled Wave

Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of longitudinal displacement wave and two coupled waves were studied when incident coupled wave propagated through micropolar fluid interlayer in micropolar elastic solid. Using numerical example, the rules of the reflection waves and refraction waves amplitudes varied with incident angle are also discussed. Results show that there exist extremum values of reflection and transmission coefficient for coupled wave. There are two peaks and one zero value of transmission coefficient for longitudinal displacement wave.

Reflection of longitudinal displacement wave at the viscoelastically supported boundary of micropolar half-space

Meccanica ◽  
2016 ◽  
Vol 52 (7) ◽  
pp. 1641-1654 ◽  
Author(s):  
Peng Zhang ◽  
Peijun Wei ◽  
Yueqiu Li
Keyword(s):  
Half Space ◽  
Longitudinal Displacement ◽  
Displacement Wave

Reflection and Refraction of Longitudinal Displacement Wave at Interface between Two Micropolar Elastic Solid

2010 ◽  
Vol 139-141 ◽  
pp. 214-217 ◽  
Author(s):  
Bing Bing Xue ◽  
Hong Yu Xu ◽  
Zhu Mu Fu ◽  
Qing Yong Sun
Keyword(s):  
Elastic Solid ◽  
Theory Model ◽  
Type Ii ◽  
Longitudinal Displacement ◽  
Amplitude Ratios ◽  
Reflection And Refraction ◽  
Displacement Wave ◽  
Viscoelastic Theory ◽  
Voigt Model ◽  
Coupled Theory

Using the model of generalized micropolar magneto-thermo-elasticity, reflection and refraction of longitudinal displacement wave at interface of two welded micropolar elastic media are studied. The model can be applied to the coupled theory as well as to five generalizations, such as L-S theory, G-L theory, H-I theory, G-N theory of type (II) and C-T theory. And if some parameters in this model are taken as given values, we can easily deduce the known models of Kelvin-Voigt model and other generalized micropolar/magneto/thermo/viscoelastic theory model. Using continuous conditions at the interface, the amplitude ratios of reflected and refracted micropolar magneto-thermoelastic longitudinal displacement waves, longitudinal microrotational waves and the coupled transverse and microrotational waves are studied for incident longitudinal displacement wave. The numerical results show that the effect of magnetic field is very significant on the amplitude ratios.

scholarly journals Propagation of Waves at an Interface between a Liquid Half-Space and an Orthotropic Micropolar Solid Half-Space

2011 ◽  
Vol 2011 ◽  
pp. 1-5
Author(s):  
Baljeet Singh ◽  
Ritu Sindhu
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Present Model ◽  
Angle Of Incidence ◽  
Longitudinal Displacement ◽  
Amplitude Ratios ◽  
Displacement Wave ◽  
Solutions Of Equations ◽  
Propagation Of Waves ◽  
Refracted Waves

An inviscid liquid half-space is considered in welded contact with a orthotropic micropolar solid half-space. Appropriate plane harmonic solutions of equations governing a liquid half-space and an orthotropic solid half-space are obtained. These solutions satisfy the required boundary conditions at the interface to obtain a system of four nonhomogeneous equations in amplitude ratios for incident quasi-longitudinal displacement wave. The amplitude ratios of various reflected and refracted waves are computed numerically for a particular example of the present model. The effect of anisotropy upon these amplitude ratios is shown graphically for a particular range of the angle of incidence.

Effect of Thermal Relaxation on Propagation of Longitudinal Displacement Wave

2010 ◽  
Vol 146-147 ◽  
pp. 314-317
Author(s):  
Bing Bing Xue ◽  
Hong Yu Xu ◽  
Zhu Mu Fu ◽  
Qing Yong Sun
Keyword(s):  
Relaxation Times ◽  
Thermal Relaxation ◽  
Theory Model ◽  
Longitudinal Displacement ◽  
Amplitude Ratios ◽  
Reflection And Refraction ◽  
Thermal Relaxation Times ◽  
Displacement Wave ◽  
Viscoelastic Theory ◽  
Coupled Theory

The micropolar elasticity theory takes into consideration the granular character of the medium, describes deformations by a microrotation and a microdisplacement. A model can be applied to the coupled theory as well as to five generalizations, such as L-S theory, G-L theory, H-I theory, G-N theory of type (II) and C-T theory. And if some parameters in this model are taken as given values, we can easily deduce the known models of Kelvin-Voigt model and other generalized micropolar/magneto/thermo/viscoelastic theory model. Employing the model of micropolar generalized magneto-thermo-elasticity, reflection and refraction of longitudinal displacement wave at interface of two welded micropolar elastic media are studied. The amplitude ratios of reflected and refracted micropolar magneto-thermoelastic longitudinal displacement waves, longitudinal microrotational waves and the coupled transverse and microrotational waves are studied for incident longitudinal displacement wave. The numerical results show that the effects of thermal relaxation times are very significant on the amplitude ratios.

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