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

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Abstract

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 plotted graphically for a specific model. Some special cases of interest are also deduced, for both the cases.

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References

  1. Eringen A.C., Suhubi E.S.: Non-linear theory of simple microelastic solids I. Int. J. Eng. Sci. 2, 189–203 (1964)

    Article  MATH  MathSciNet  Google Scholar 

  2. Suhubi E.S., Eringen A.C.: Non-linear theory of simple microelastic solids II. Int. J. Eng. Sci. 2, 389–404 (1964)

    Article  MathSciNet  Google Scholar 

  3. Eringen A.C.: Linear theory of micropolar elasticity. J. Math. Mech. 15, 909–923 (1966)

    MATH  MathSciNet  Google Scholar 

  4. Nowacki W.: Couple stresses in the theory of thermoelasticity, I. Bull. Acad. Polon. Sci. Ser. Sci. Technol. 2, 129–138 (1966)

    Google Scholar 

  5. Nowacki W.: Couple stresses in the theory of thermoelasticity, II. Bull. Acad. Polon. Sci. Ser. Sci. Technol. 14, 263–272 (1966)

    Google Scholar 

  6. Nowacki W.: Couple stresses in the theory of thermoelasticity, III. Bull. Acad. Polon. Sci. Ser. Sci. Technol. 14, 801–809 (1966)

    Google Scholar 

  7. Eringen A.C.: A unified theory of thermomechanical materials. Int. J. Eng. Sci 4, 179–202 (1966)

    Article  MATH  MathSciNet  Google Scholar 

  8. Tauchert T.R., Claus W.D. Jr., Ariman T.: The linear theory of micropolar thermoelasticity. Int. J. Eng. Sci 6, 36–47 (1968)

    Article  Google Scholar 

  9. Nowacki, W., Olszak, W.: Micropolar Thermoelasticity. In: Nowacki, W., Olszak, W. (eds.) Micropolar Thermoelasticity. CSIM Courses and Lectures No. 151, vol. 6. Springer, Vienna (1974)

  10. Dhaliwal R.S., Singh A.: Micropolar thermoelasticity. In: Hetnarski, R. (eds) Thermal Stresses II, Mechanics and Mathematical Methods, Ser. 2, North-Holland, Amsterdam (1987)

    Google Scholar 

  11. Eringen A.C.: Theory of thermo-microstretch elastic solids. Int. J. Eng. Sci. 28, 1291–1301 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  12. Eringen A.C.: Theory of thermo-microstretch fluids and bubbly liquids. Int. J. Eng. Sci. 28, 133–143 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  13. Eringen A.C.: Electrodynamics of microstretch and micropolar fluids. ARI 50, 169–179 (1998)

    Article  Google Scholar 

  14. Eringen A.C.: Continuum theory of micromorphic electromagnetic thermoelastic solids. Int. J. Eng. Sci. 41, 653–665 (2003)

    Article  MathSciNet  Google Scholar 

  15. Eringen A.C.: Mechanics of Continua, 2nd edn. Krieger Melbourne, Florida (1980)

    Google Scholar 

  16. Eringen A.C.: Electromagnetic theory of microstretch elasticity and bone modeling. Int. J. Eng. Sci 42, 231–242 (2004)

    Article  MathSciNet  Google Scholar 

  17. Iesan D.: On the microstretch piezoelectricity. Int. J. Eng. Sci 44, 819–829 (2006)

    Article  MathSciNet  Google Scholar 

  18. El-Karamany A.S.: Constitutive laws, uniqueness theorem and Hamilton’s principle in linear micropolar thermopiezoelectric/ piezomagnetic continuum with relaxation time. J. Therm. Stress. 30, 59–80 (2007)

    Article  MathSciNet  Google Scholar 

  19. Khurana A., Tomar S.K.: Propagation of plane elastic waves at a plane interface between two electro-microstretch solid half-spaces. Int. J. Eng. Sci 44, 3773–3795 (2007)

    MATH  Google Scholar 

  20. Lord H., Shulman Y.: A generalized dynamical theory of thermo-elasticity. J. Mech. Phys. Solid 15, 299–309 (1967)

    Article  MATH  Google Scholar 

  21. Singh B., Kumar R.: Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space. Int. J. Eng. Sci 36, 865–890 (1998)

    Article  MathSciNet  Google Scholar 

  22. De S.N., Sen-gupta P.R.: Surface waves in micropolar elastic media. Bull. Acad. Polon. Sci. Ser. Sci. Technol. 22, 137–146 (1974)

    MathSciNet  Google Scholar 

  23. Eringen A.C.: Plane wave in nonlocal micropolar elasticity. Int. J. Eng. Sci 22, 1113–1121 (1984)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, India

    Rajneesh Kumar &  Rupender

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  1. Rajneesh Kumar
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  2. Rupender
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Correspondence to Rajneesh Kumar.

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Kumar, R., Rupender Propagation of waves in an electro-microstretch generalized thermoelastic semi-space. Acta Mech Sin 25, 619–628 (2009). https://doi.org/10.1007/s10409-009-0268-0

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  • DOI: https://doi.org/10.1007/s10409-009-0268-0

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