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1.
Elastic wave propagation in a cylindrical bore situated in a micropolar elastic medium with stretch 总被引:2,自引:0,他引:2
Propagation of surface elastic waves in a cylindrical bore through a micropolar elastic medium with stretch is analysed in
two cases. In the first case, the cylindrical bore is considered empty while in the second case, the bore is filled with homogeneous
inviscid liquid. In both the problems, period equations are obtained in closed form. The problem of Banerji and Sengupta [2,3]
has been reduced as a special case. Numerical calculations have been performed for a particular model and results obtained
are presented graphically. It is noticed that the effect of micropolarity on dispersion curve is significant while the effect
of micro-stretch on dispersion curve is not appreciable. 相似文献
2.
In the present investigation, we discuss two different problems namely
- Rayleigh-Lamb problem in micropolar generalized thermoelastic layer with stretch and
- Rayleigh wave in a micropolar generalized thermoelastic half-space with stretch. The frequency and wave velocity equations for symmetric and anti-symmetric vibrations are obtained for the first problem. The frequency equation has also been derived for the second problem. The special cases of the above said problems of micropolar generalized thermoelasticity with stretch for Green-Lindsay and Lord-Shulman theory have been discussed in detail. Results of these analysis reduce to those without thermal and stretch effects
3.
The propagation of time harmonic waves through an infinite thermo-chiral elastic material has been investigated. The elastic field of thermo-chiral medium has been described by extending the governing equations and constitutive relations of hemitropic micropolar material to include temperature field. Seven basic waves consisting of three coupled dilatational waves and four coupled shear waves traveling with distinct speeds may exist in the medium. All the waves are found to be dispersive, however the coupled dilatational waves are attenuating and temperature dependent, while the coupled shear waves are independent of temperature field. The phase speeds and corresponding attenuation quality factors of all the coupled dilatational waves have been computed numerically for a specific model. The effect of chirality and temperature field have been shown graphically. 相似文献
4.
The wave propagation in a micropolar elastic metamaterial is investigated in this paper. The elastic metamaterial is composed of the micropolar elastic host material and the periodically arranged local resonators. Compared with the classical elastic metamaterial, the micropolar elastic metamaterial has more material parameters that can be elaborately designed to manipulate the elastic wave propagation. By introducing additional displacement fields, a multi-displacement continuum model of the micropolar elastic metamaterial is presented to characterize the resonance behavior of the resonators and the microstructure effects of the unit cell. According to this continuum model, two independent wave systems exist: one is a longitudinal system and the other is a shear and rotation coupled transversal system. The dispersive curves and band gaps of the longitudinal and transversal systems are numerically discussed and the influences of the resonators are mainly considered. 相似文献
5.
Effect of micro-inertia in the propagation of waves in micropolar thermoelastic materials with voids
The effect of micro-inertia in the propagation of waves in micropolar thermoelastic materials with voids has been investigated. Elastic waves are reflected due to incident coupled longitudinal and coupled shear waves from a plane free boundary of micropolar thermoelastic materials with voids. The amplitude ratios corresponding to the reflected coupled longitudinal and coupled shear waves are derived by using appropriate boundary conditions. Energy partition in the free surface has been presented. The amplitude and energy ratios of the reflected waves are also computed numerically for a particular model. 相似文献
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7.
The problem of symmetric and anti-symmetric vibrations in micropolar thermoelastic plate with voids has been investigated. The dispersive frequency equations are obtained for different surface waves propagating in the plate. The velocity curves are depicted for the symmetric and anti-symmetric vibrations, plate, Rayleigh and flexural waves. It is found that there exist two modes in the solution of frequency equation for the surface waves in micropolar thermoelastic plate with voids. We have observed that the first modes of velocity ratios of corresponding surface waves are lesser than those of second mode of vibration. 相似文献
8.
The wave field and dispersion equations are found for a porous layer surrounded by two elastic half-spaces. The porous layer
is described by the effective model of a medium in which elastic and fluid layers alternate. To investigate the normal waves,
all real roots of dispersion equations are determined and their movements as the wave number increases are investigated. As
a result, the dispersion curves of all normal waves are constructed and the dependence of normal waves on the parameters of
the porous layer and elastic half-spaces is analyzed. Bibliography: 6 titles. 相似文献
9.
10.
We present a continual model of an elastic medium with a field of distributed defects and use it to study the frequency transformation
effect in elastic waves. By an example of simulation of the one-dimensional waves arising under a harmonic action on a layer
with defects, we demonstrate the possibility of describing frequency transformation in the framework of the model. 相似文献