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.

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.

Single Defect in Finite one Dimensional Photonic Crystals

2012 ◽  
Vol 614-615 ◽  
pp. 1629-1632
Author(s):  
Gang Xu ◽  
Yun Sun
Keyword(s):  
Photonic Crystals ◽  
Transmission Coefficient ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Defect Mode ◽  
Transmission Peak ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Single Defect ◽  
Reflection And Transmission Coefficient

Applying transfer matrix method, we get reflection and transmission coefficient of finite one dimensional photonic crystals. At the same time, we consider the position influence of single defect. We find the frequency of defect mode is same, but the height of transmission peak is not same when single defect is in different position of crystal. The transmission peak is maximum when the defect is in center of finite one dimensional photonic crystals.

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.

A method for direct computation of the differential seismogram with respect to the velocity change in a layered elastic solid

1995 ◽  
Vol 85 (1) ◽  
pp. 300-307 ◽  
Author(s):  
Yuehua Zeng ◽  
John G. Anderson
Keyword(s):  
Computation Time ◽  
Elastic Solid ◽  
Elastic Half Space ◽  
Accurate Solution ◽  
Earth Model ◽  
Velocity Change ◽  
Reflection And Transmission ◽  
Reflection And Transmission Coefficient ◽  
Complete Set ◽  
Fitting In

Abstract We derived a method to compute the differential seismogram directly in a layered elastic half-space. This method first computes a differential field caused by the velocity change in the layer and then multiplies it with the original elastic wave field. This product acts like a source, and the seismogram caused by this source term is the differential seismogram. The differential waves are propagated directly to the receiver in frequency/wavenumber domain using the generalized reflection and transmission coefficient method. In comparison with the typical finite-difference approach to compute a complete set of differential seismograms at one station in an N-layered earth model, our method not only saves about N/2 folds of computation time but also leads to a more accurate solution. Thus, it provides an efficient and direct procedure to compute the differential seismogram for a complete waveform fitting in a layered elastic earth model.

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