Research Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Reflection and Transmission Coefficients at the Boundary Surface of Micropolar Viscothermoelastic Solids With Two Temperatures


Affiliations
1 Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
2 Department of Mathematics, M. M. University, Mullana, Haryana, India
     

   Subscribe/Renew Journal


The present investigation is concerned with effects of distinct conductive and thermodynamic temperatures on reflection and transmission cofficients at an interface of two different micropolar viscothermoelastic solid half spaces. Reflection and transmission phenomenon of plane waves impinging obliquely at a plane interface between two different micropolar viscothermoelastic solid half spaces with two temperatures are investigated in the context of Green-Lindsay (G-L) theory (1972). The incident wave is assumed to be striking at the plane interface after propagating through one of the micropolar viscothermoelastic solid with two temperatures. Amplitude ratios of the various reflected and transmitted waves are obtained in closed form and it is found that these are function of angle of incidence, frequency and are affected by the micropolar, viscoelastic properties of the media. Viscosity effects are shown on these amplitude ratios for a specific model. Results of some earlier workers have also been deduced from the present investigation.

Keywords

Micropolar Viscothermoelastic Solid, Conductive and Thermodynamic Temperatures, Elastic Waves, Reflection Coefficient, Transmission Coefficient.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Ailawalia. P, Sachdeva. S.K, Pathania. D.S (2017)Plane strain problem in a rotating Microstretch thermoelastic solid with microtempratures.- Theoretical and Applied Mechanics volume 44(2017)Issue1,51-82

  • Brune J.N. (1970): “Tectonic stress and the spectra of seismic shear waves from earthquakes”. - J Geophys Res, vol.75, pp.4997-5009.

  • Eringen A.C. (1967):’’ Linear theory of micropolar viscoelasticity”. - Int. J. Eng. Sci., vol.5, pp.191-204.

  • Eringen A.C. (1970): Foundations of micropolar thermoelasticity[M].- Course of Lectures, No.23, CISM Udine, Springer, Berlin.

  • Gale C. (2000): On Saint-Venant's problem in micropolar viscoelasticity.- An Stiin. Univ. Al I Cuza Iasi Mat., vol.46, pp.131-148.

  • Green A.E. and Lindsay A.K. (1972).“Thermoelasticity”. Journal of Elasticity,2, pp.1-7.

  • Kumar R. (2000): Wave propagation in micropolar viscoelastic generalized thermoelastic solid. - Int. J. Eng. Sci., vol.38, pp.1377-1395.

  • Kumar R. and Choudhary S. (2001): Dynamical problem of micropolar viscoelasticity. - Proc Indian Acad Sci. (Earth Planet Sci.), vol.110, pp.215-223.

  • Kumar R. and Choudhary S. (2005): Deformation due to time harmonic source in orthotropic micropolar viscoelastic medium. - Int. J. Appl. Mech. and Eng., vol.10, No.4, pp.617-629.

  • Kumar R. and Choudhary S. (2005): Disturbance due to time harmonic source in orthotropic micropolar viscoelastic medium. - Georgian Mathematical Journal,vol.12, pp.261-272.

  • Kumar R., Sharma N., and Lata Parveen (2015): Effect of two temperature-American journal of Engineering research Vol4: pp176-187

  • Kumar,R Sharma,K.D and Garg,S.K(2015)” Fundamental solutionin micropolar”Int.J.of applied Mechanics and Engineering,vol.20,No.I.pp.109-125

  • Manole D. (1988): Theoreme d'unicite dans la theorie de la viscoelasticite lineaire avec microstructure en utilisant la transformation de Laplace -. Rev. Roumaine Sci. Tech. Ser. Mee. Appl., vol.33, pp.209-214.

  • Manole D. (1992): Variational theorems in linear theory of micropolar viscoelasticity. - But. Inst. Politehn. Iasi Sect., vol.38, pp.75-83.

  • thman and Ezaira (2016):Two temperature generalized thermoelastic rotating medium-Journal of Science and Engineering Research 3(5) pp-10-25

  • Sharma,K, and Marin (2014) :Reflection and transmission of waves-An ST UniverseOvidius Constanta Vol 22 :pp 151-175

  • Yaqin Song, Hongyu Xu and Yuanchong Zhang (2006): Reflection and refraction of micropolar magneto-thermoviscoelastic waves at an interface between two micropolar viscoelastic media. - International Journal of Thermophysics, vol.27, pp.970-993.


Abstract Views: 224

PDF Views: 0




  • Reflection and Transmission Coefficients at the Boundary Surface of Micropolar Viscothermoelastic Solids With Two Temperatures

Abstract Views: 224  |  PDF Views: 0

Authors

R. Kumar
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
B. Kumar
Department of Mathematics, M. M. University, Mullana, Haryana, India
N. Sharma
Department of Mathematics, M. M. University, Mullana, Haryana, India

Abstract


The present investigation is concerned with effects of distinct conductive and thermodynamic temperatures on reflection and transmission cofficients at an interface of two different micropolar viscothermoelastic solid half spaces. Reflection and transmission phenomenon of plane waves impinging obliquely at a plane interface between two different micropolar viscothermoelastic solid half spaces with two temperatures are investigated in the context of Green-Lindsay (G-L) theory (1972). The incident wave is assumed to be striking at the plane interface after propagating through one of the micropolar viscothermoelastic solid with two temperatures. Amplitude ratios of the various reflected and transmitted waves are obtained in closed form and it is found that these are function of angle of incidence, frequency and are affected by the micropolar, viscoelastic properties of the media. Viscosity effects are shown on these amplitude ratios for a specific model. Results of some earlier workers have also been deduced from the present investigation.

Keywords


Micropolar Viscothermoelastic Solid, Conductive and Thermodynamic Temperatures, Elastic Waves, Reflection Coefficient, Transmission Coefficient.

References