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Abstrakty
The presented paper is concerned with the propagation of Rayleigh waves in an orthotropic nonlocal micropolar elastic half-space. The main aim of the paper is to derive dispersion equations of Rayleigh wave as well as Stroh formalism for the orthotropic nonlocal micropolar medium. Based on the obtained dispersion equation, the effect of material, nonlocality parameter on the Rayleigh wave propagation is considered through some numerical examples.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
237--251
Opis fizyczny
Bibliogr. 19 poz., rys. kolor.
Twórcy
autor
- Faculty of Civil Engineering, Hanoi Architectural University, Km 10 Nguyen Trai Str., Thanh Xuan, Hanoi, Vietnam
Bibliografia
- 1. A.C. Eringen, D.G.B. Edelen, On nonlocal elasticity, International Journal of Engineering Science, 10, 3, 233–248, 1972.
- 2. A.C. Eringen, On differential-equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54, 9, 4703–4710, 1983.
- 3. A.C. Eringen, Nonlocal Continuum Field Theories, Springer, New York, 2001.
- 4. N. Challamel, D. Zorica, T. Atanackovic, D. Spasic, On the fractional generalization of Eringen’s nonlocal elasticity for wave propagation, Comptes Rendus Mecanique, 341, 298–303, 2013.
- 5. S. Narendar, S. Gopalakrishnan, Nonlocal continuum mechanics formulation for axial, flexural, shear and contraction coupled wave propagation in single walled carbon nanotubes, Latin American Journal of Solids and Structures, 9, 497–513, 2012.
- 6. S. Tomar, A. Khurana, Reflection of plane longitudinal waves from the stress-free boundary of a nonlocal, micropolar solid half-space, Journal of Mechanics of Materials and Structures, 85, 1, 95–107, 2013.
- 7. S. Tomar, A. Khurana, Waves at interface of dissimilar nonlocal micropolar elastic half-spaces, Mechanics of Advanced Materials and Structures, 26, 10, 825–833, 2018.
- 8. S. Tomar, A. Khurana, Rayleigh-type waves in nonlocalmicropolar solid half-space, Ultrasonics, 73, 162–168, 2016.
- 9. A. Chakraborty, Wave propagation in anisotropic media with nonlocal elasticity, International Journal of Solids and Structures, 44, 5723–5741, 2007.
- 10. N. Challamel, L. Rakotomanana, L.L. Marrec, A dispersive wave equation using nonlocal elasticity, Comptes Rendus Mecanique, 337, 591–595, 2009.
- 11. S. Gopalakrishnan, S. Narender, Wave Propagation in Nanostructures: Nonlocal Continuum Mechanics Formulations, Springer, New York, 2013.
- 12. A.C. Eringen, Plane waves in nonlocal micropolar elasticity, International Journal of Engineering. Science, 22, 8–10, 1113–1121, 1984.
- 13. S. Tomar, A. Khurana,Wave propagation in nonlocal microstretch solid, Applied Mathematical Modelling, 40, 11–12, 5858–5875, 2016.
- 14. P.C. Vinh, V.T.N. Anh, D.X. Tung, N.T. Kieu, Homogenization of very rough interfaces for the micropolar elasticity theory, Applied Mathematical Modelling, 54, 467–482, 2017.
- 15. A.N. Stroh, Steady state problems in anisotropic elasticity, Journal Mathematical Physics, 41, 317, 687–708, 1962.
- 16. M. Destrade, The explicit dispersion equation for surface acoustic waves in monoclinic elastic crystals, Journal of the Acoustical Society of America, 109, 1398–1402, 2001.
- 17. V.G. Mozhaev, Some new ideas in the theory of surface acoustic waves in anisotropic media, IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanicsm, D.F. Parker and A.H. England [eds.], Kluwer Academic Publishers, pp. 455–462, 1995.
- 18. D.X. Tung, Dispersion equation of Rayleigh waves in transversely isotropic nonlocal piezoelastic solids half-space, Vietnam Journal of Mechanics, VAST, 41, 4, 363–371, 2019.
- 19. P.C. Vinh, R.W. Ogden, Formulas for the Rayleigh wave speed in orthotropic elastic solids, Archives of Mechanics, 56, 3, 247–265, 2004.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f01c2e32-4595-487d-9951-8c99635e109e