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Propagation of waves in an electro-microstretch generalized thermoelastic semi-space

Acta Mechanica Sinica 2009年第5期25卷 619-628页

作者： Rajneesh Kumar.Rupender Department of Mathematics Kurukshetra University

The present investigation is concerned with wave propagation in an electro-microstretch generalized thermoelastic solid half space. Two different cases have been discussed：（i） reflection of plane wave at the free surface of an electro-microstretch generalized thermoelastic solid; and （ii） propagation of Rayleigh waves in an electro-microstretch generalized thermoelastic solid half space. In case （i）, the amplitude ratios of the various reflected waves have been computed numerically and depicted graphically against angle of incidence. In case （ii）, the frequency equation is derived and dispersion curves giving phase velocity and attenuation coefficient as a function of wave number, have been plot- ted graphically for a specific model. Some special cases of interest are also deduced, for both the cases.

关键词： amplitude ratios Electro-microstretch thermoelastic solid Frequency equation Rayleigh waves

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Propagation of plane waves at the imperfect boundary of elastic and electro-microstretch generalized thermoelastic solids

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Applied Mathematics and Mechanics(English Edition) 2009年第11期30卷 1445-1454页

作者： Rajneesh Kumar Rupender Department of Mathematics Kurukshetra University

The problem of reflection and transmission of plane waves incident on the contact surface of an elastic solid and an electro-microstretch generalized thermoelastic solid is discussed. It is found that there exist five reflected waves, i.e., longitudinal displacement （LD） wave, thermal （T） wave, longitudinal microstretch （LM） wave and two coupled transverse displacement and microrotational （CD（I） and CD（II）） waves in the electro-microstretch generalized thermoelastic solid, and two transmitted waves, i.e., longitudinal （P） and transverse （SV） waves in the elastic solid. The amplitude ratios of different reflected and transmitted waves are obtained for an imperfect boundary and deduced for normal force stiffness, transverse force stiffness, and perfect bonding. The variations of amplitude ratios with incidence angles have been depicted graphically for the LD wave and the CD（I） wave. It is noticed that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, electric field, stretch, and thermal properties of the media. Some particular interest cases have been deduced from the present investigations.

关键词： amplitude ratios electro-microstretch thermoelastic solid normal forcestiffness transverse force stiffness welded contact

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Propagation of plane waves in thermoelastic cubic crystal material with two relaxation times

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Applied Mathematics and Mechanics(English Edition) 2007年第5期28卷 627-641页

作者： Rajneesh Kumar Manjeet Singh Department of Mathematics Kurukshetra University Department of Mathematics S.U.S. Govt. College

A problem concerned with the reflection and refraction of thermoelastic plane waves at an imperfect interface between two generalized thermally conducting cubic crystal solid half-spaces of different elastic and thermal properties with two relaxation times has been investigated. The generalized thermoelastic theory with two relaxation times developed by Green and Lindsay has been used to study the problem. The expressions for the reflection and refraction coefficients which are the ratios of the amplitudes of reflected and refracted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal stiffness, transverse stiffness, thermal contact conductance, slip and welded boundaries. amplitude ratios of different reflected and refracted waves for different boundaries with angle of emergence have been compared graphically for different incident waves. It is observed that the amplitude ratios of reflected and refracted waves are affected by the stiffness and thermal properties of the media.

关键词： generalized thermoelasticity normal stiffness transverse stiffness thermal contact conductance cubic crystal amplitude ratios

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Reflection and transmission of elastic waves at an interface between two micropolar piezoelectric half-spaces

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Journal of Ocean Engineering and Science 2019年第3期4卷 227-237页

作者： Baljeet Singh Asha Sangwan Jagdish Singh Department of Mathematics Post Graduate Government CollegeSector 11Chandigarh 160011India Department of Mathematics Government CollegeSamplaRohtak 124001HaryanaIndia Department of Mathematics Maharshi Dayanand UniversityRohtak 124001HaryanaIndia

In the present paper,we consider a problem of reflection and transmission of plane waves at an interface between two different transversely isotropic micropolar piezoelectric *** plane wave solution of governing equations for micropolar piezoelectric medium indicates the propagation of three coupled plane *** incident plane wave at an interface between two dissimilar half-spaces generates three reflected and three transmitted *** relations between amplitude ratios of reflected and transmitted waves are derived which,in general,depend on material parameters and angle of *** explicit expressions for energy ratios of reflected and transmitted waves are also *** relevant material parameters,the results are illustrated graphically to show the micropolar piezoelectric effects on variations of amplitude ratios and the square root of energy ratios against the angle of incidence.

关键词： Plane waves Micropolar piezoelectricity Reflection and transmission amplitude ratios Energy ratios

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