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.

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.

Frequency Equations of Magneto-Thermoviscoelastic Surface Wave

2010 ◽  
Vol 97-101 ◽  
pp. 479-483
Author(s):  
Hong Yu Xu ◽  
Bing Bing Xue ◽  
Zhu Mu Fu
Keyword(s):  
Surface Wave ◽  
Theory Model ◽  
Frequency Equation ◽  
Type Ii ◽  
Viscoelastic Solid ◽  
Viscoelastic Waves ◽  
Viscoelastic Theory ◽  
Voigt Model ◽  
General Frequency ◽  
Coupled Theory

The model of the generalized linear micropolar magneto-thermoviscoelastic theory is presented in this paper. It 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. 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. The magneto-thermo- viscoelastic waves at an interface between two micropolar viscoelastic solid mediums are discussed with the model. Using continuous conditions, the general frequency equations are obtained. Also as a validation, if one media is replaced by vacuum, we have deduced the frequency equation of Rayleigh wave. And if the problem is reduced to elastic case, it coincides with the results of Ewing et al.

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.

Reflection and Refraction of Coupled Transverse and Micro-Rotational Wave at Interface between Two Micropolar Elastic Solid

2013 ◽  
Vol 670 ◽  
pp. 193-201 ◽  
Author(s):  
Hong Yu Xu ◽  
B.B. Xue ◽  
F.K. Cui ◽  
X.Q. Wang
Keyword(s):  
Relaxation Times ◽  
Thermal Relaxation ◽  
Elastic Solid ◽  
Phase Lag ◽  
Amplitude Ratios ◽  
Reflection And Refraction ◽  
Rotational Wave ◽  
Thermal Relaxation Times ◽  
Without Energy Dissipation ◽  
Rotational Waves

Using the model of micropolar generalized magneto-thermo-elasticity, the coupled transverse and micro-rotational wave at an interface between two micropolar solid mediums is discussed in the presence of a constant magnetic field. The model can be applied to the coupled theory as well as to five generalizations: the Lord-Shulman theory with one relaxation time, the Green-Lindsay theory with two relaxation times, the Green-Naghdi theories of type II(without energy dissipation) and of type III, and the theory with dual-phase-lag. Using continuous conditions at the interface, the amplitude ratios of reflected and refracted longitudinal displacement waves, longitudinal micro-rotational waves and the coupled transverse and micro-rotational waves are studied for incident coupled transverse and micro-rotational wave. The effect of thermal relaxation is discussed for C-D theory, G-L theory and L-S theory. The numerical results show that the effects of thermal relaxation times are very significant on the amplitude ratios.

Reflection of waves in micropolar transversely isotropic thermoelastic half space of GN type II and III

2014 ◽  
Vol 23 (1-2) ◽  
pp. 27-35
Author(s):  
Rajani Rani Gupta
Keyword(s):  
Wave Equations ◽  
Transversely Isotropic ◽  
Transverse Displacement ◽  
Type Ii ◽  
Longitudinal Displacement ◽  
Amplitude Ratios ◽  
Reflected Waves ◽  
Special Cases ◽  
Micropolar Medium ◽  
Reflection Of Waves

AbstractThe present paper deals with the reflection of waves incident at the surface of a transversely isotropic micropolar medium under the theory of thermoelasticity of GN types II and III. The wave equations are solved by imposing proper conditions on the components of displacement, stresses, and temperature distribution. It is found that there exist four different waves, viz. quasi-longitudinal displacement (qLD) wave, quasi-transverse displacement (qTD) wave, quasi-transverse microrotational (qTM) wave, and quasi-thermal (qT) wave. The amplitude ratios of these reflected waves are presented, when different waves are incident. Numerically simulated results have been depicted graphically for the different angles of incidence with respect to the frequency. Some special cases of interest also have been deduced from the present investigation.

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
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