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Plane Wave Propagation in a Rotating Micropolar Microstretch Elastic Solid in Special Case

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Applications of Fluid Dynamics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The present work investigates the propagation of plane waves in a rotating micropolar microstretch elastic solid in a case of irrotational macro-displacements and zero micro-rotations. Three types of basic waves consisting of transverse microstretch waves, transverse micropolar waves, and coupled longitudinal waves are propagated. All these waves are frequency-dependent and hence, dispersive in nature. Except microstretch waves, all these waves are effected by angular rotation of the solid. The variation of these waves with angular frequency and angular rotations has also been depicted graphically for specific models.

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References

  • Eringen AC (1971) Micropolar elastic solids with stretch. Ari Kitabevi Matbassi, Istanbul 24:1–18

    Google Scholar 

  • Eringen AC (1966) J Math Mech 15:909

    MathSciNet  Google Scholar 

  • Eringen AC (1999) Micro-continuum field theories I. Foundation and solids. Springer, New York

    MATH  Google Scholar 

  • Green AE, Lindsay KA (1972) Thermoelasticity. J Elast 2(1):1–7

    Article  MATH  Google Scholar 

  • Khurana A, Tomar SK (2016) Wave propagation in nonlocal microstretch solid. Appl Math Model 000:1–18

    MathSciNet  Google Scholar 

  • Kumar R, Kaur M, Rajvanshi SC (2013) Wave propagation at an interface of elastic and microstretch thermo-elastic solids with micro-temperatures. J Solid Mech 5:226–244

    Google Scholar 

  • Othman MIA, Atwa SY, Jahangir A, Khan A (2013) Gravitational effect on plane waves in a generalized thermo-microstretch elastic solid under Green Naghdi theory. Appl Math Inf Sci Lett 1(2):25–38

    MATH  Google Scholar 

  • Singh B (2002) Proceedings of Indian Academic Science (Earth Planet Science)

    Google Scholar 

  • Somaiah K, Srinivas R (2015) Propagation of plane longitudinal waves in a micropolar elastic solid with voids. Math Sci Int Res J 4(2):61–64

    Google Scholar 

  • Sreelakshmi T, Rama E, Somaiah K (2015) Effect of rotation on longitudinal wave propagation in an elastic solid with a cylindrical hole. Proceedia Eng 127:660–664

    Article  Google Scholar 

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Correspondence to K. Somaiah .

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Somaiah, K. (2018). Plane Wave Propagation in a Rotating Micropolar Microstretch Elastic Solid in Special Case. In: Singh, M., Kushvah, B., Seth, G., Prakash, J. (eds) Applications of Fluid Dynamics . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5329-0_50

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  • DOI: https://doi.org/10.1007/978-981-10-5329-0_50

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-5328-3

  • Online ISBN: 978-981-10-5329-0

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