Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
For understanding the effects of an internal microstructure, generalised microcontinuum theories with additional microstructural parameters are developed. One such a parameter, called the characteristic length of the material comparable with the internal cell size of the material is involved in the couple stress theory. The problem of propagation of Lamb waves in a plate with an internal microstructure and loaded with an inviscid liquid on both sides is studied using the couple stress theory. The dispersion equation of Lamb waves with the liquid loadings is derived. The impact of the liquid loadings is studied on the propagation of Lamb waves. The effect of the characteristic length is also studied on the phase velocity of Lamb waves in the plate for various modes in the presence of liquid loadings.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
925—934
Opis fizyczny
Bibliogr. 27 poz., rys.
Twórcy
autor
- Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India
autor
- School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India
Bibliografia
- 1. Akgoz B., Civalek O., 2013, Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory, Meccanica, 48, 863-873
- 2. Chen W., Li X., 2014, A new modified couple stress theory for anisotropic elasticity and microscale laminated Kirchhoff plate model, Archive of Applied Mechanics, 84, 323-341
- 3. Cosserat E., Cosserat F., 1909, Th´eorie des corps d´eformables (Theory of Deformable Bodies), A. Hermann et Fils, Paris
- 4. Das T.K., Sengupta P.R., Debnath L., 1991, Thermo-visco-elastic Rayleigh waves under the influence of couple stress and gravity, International Journal of Mathematics and Mathematical Sciences, 14, 3, 553-560
- 5. Eringen A.C., 1968, Theory of micropolar elasticity, [In:] Fracture, Liebowitz H. (Ed.), vol. 2, Academic Press, New York, 662-729
- 6. Georgiadis H.G., Velgaki E.G., 2003, High-frequency Rayleigh waves in materials with microstructure and couple-stress effects, International Journal of Solids and Structures, 40, 2501-2520
- 7. Hadjesfandiari A.R., Dargush G.F., 2011, Couple stress theory for solids, International Journal of Solids and Structures, 48, 2496-2510
- 8. Koiter W.T., 1964, Couple stresses in the theory of elasticity, I and II, Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen B, 67, 17-44
- 9. Lakes R.S., 1991, Experimental micro mechanics methods for conventional and negative Poisson’s ratio cellular solids as Cosserat continua, Journal of Engineering Materials and Technology, 113, 148-155
- 10. Lakes R.S., Yoon H.S., Katz J.L., 1986, Ultrasonic wave propagation and attenuation in wet bone, Journal Biomedical Engineering, 8, 143-148
- 11. Lamb H., 1917, On waves in an elastic plate, Proceedings of the Royal Society of London, 114-128
- 12. Mindlin R.D., 1964, Micro-structure in linear elasticity, Archive for Rational Mechanics and Analysis, 16, 51–78
- 13. Mindlin R.D., Tiersten H.F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, 11, 415-488
- 14. Nowacki W., 1974, Micropolar Elasticity, International Center for Mechanical Sciences, Courses and Lectures No. 151, Udine, Springer-Verlag, Wien-New York
- 15. Osborne M.F.M., Hart S.D., 1945, Transmission, reflection and guiding of an exponential pulse by a steel plate in water, I: theory, Journal of the Acoustical Society of America, 17, 1-18
- 16. Ottosen N.S., Ristinmaa M., Ljung C., 2000, Rayleigh waves by the indeterminate couplestress theory, European Journal of Mechanics – A/Solids, 19, 929-947
- 17. Schoch V.A., 1952, Der schalldurchgang durch platten (Sound transmission in plates), Acoustica, 2, 1-17
- 18. Sengupta P.R., Ghosh B., 1974, Effects of couple stresses on the propagation of waves in an elastic layer, Pure and Applied Geophysic, 112, 331-338
- 19. Sharma J.N., Kumar S., 2009, Lamb waves in micropolar thermoelastic solid plates immersed in liquid with varying temperature, Meccanica, 44, 305-319
- 20. Sharma V., Kumar S., 2014, Velocity dispersion in an elastic plate with microstructure: effects of characteristic length in a couple stress model, Meccanica, 49, 1083-1090
- 21. Sharma J.N., Pathania V., 2003, Generalized thermoelastic Lamb waves in a plate bordered with layers of inviscid liquid, Journal of Sound and Vibration, 268, 897-916
- 22. Toupin R.A., 1962, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, 11, 385-414
- 23. Vavva M.G., Protopappas V.C., Gergidis L.N., Charalambopoulos A., Fotiadis D.I., Polyzos D., 2009, Velocity dispersion of guided waves propagating in a free gradient elastic plates: application to cortical bone, Journal of the Acoustical Society of America, 125, 5, 3414-3427
- 24. Viktorov I.A., 1967, Rayleigh and Lamb Waves, Plenum Press, New York
- 25. Voigt W., 1887, Theoretische Studien fiber die Elastizitatsverhiltnisse der Kristalle (Theoretical studies on the elasticity relationships of crystals), Abh Gesch Wissenschaften, 34
- 26. Wu J., Zhu Z., 1992, The propagation of Lamb waves in a plate bordered with layers of a liquid, Journal of the Acoustical Society of America, 91, 861-867
- 27. Wu Z., Ma X., Brett P.N., Xu J., 2009, Vibration analysis of submerged rectangular microplates with distributed mass loading, Proceedings of the Royal Society A, 465, 2104, 1323-1336
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e6f01ee6-4ebb-4303-a970-877b61c4b7a7