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Propagation of the torsional wave in an irregular self-reinforced composite material bounded between two half-spaces

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This research article is concerned with the analytical assessment and mathematical modelling to unveil the characteristic of a torsional wave in the irregular Earth’s crustal stratum. This investigation has been performed to clarify of possible occurrence of the torsional wave in an irregular self-reinforced composite layer bonded between dry sandy media and an isotropic elastic half-space. Rectangular and parabolic irregularities have been assumed at the interface of the intermediate layer and the lower half-space. In order to acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The effects of different affecting parameters such as reinforcement, sandiness, initial stress and irregularity parameters have been explored and explained by suitable graphs. Moreover, a comparative study has also been accomplished graphically for rectangular, parabolic, and no irregularities.
Rocznik
Strony
971--982
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
  • Indian Institute of Technology, Department of Mathematics and Computing, Dhanbad, Jharkhand, India
  • Indian Institute of Technology, Department of Mathematics and Computing, Dhanbad, Jharkhand, India
Bibliografia
  • 1. Adkins J.E., Rivlin R.S., 1955, Large elastic deformations of isotropic materials X. Reinforcement by inextensible cords, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 248, 944, 201-223.
  • 2. Akbarov S.D., Kepceler T., Egilmez M.M., 2011, Torsional wave dispersion in a finitely prestrained hollow sandwich circular cylinder, Journal of Sound and Vibration, 330, 18-19, 4519-4537.
  • 3. Belfield A.J., Rogers T.G., Spencer A.J.M., 1983, Stress in elastic plates reinforced by fibres lying in concentric circles, Journal of the Mechanics and Physics of Solids, 31, 1, 25-54.
  • 4. Biot M.A., 1940, The influence of initial stress on elastic waves, Journal of Applied Physics, 11, 8, 522-530.
  • 5. Chattopadhyay A., Gupta S., Kumari P., Sharma V.K., 2011, Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half-space, Meccanica, 46, 671-680.
  • 6. Chattopadhyay A., Gupta S., Sharma V.K., Kumari P., 2009, Reflection and refraction of plane quasi-P waves at a corrugated interface between distinct triclinic elastic half spaces, International Journal of Solids and Structures, 46, 17, 3241-3256.
  • 7. Dhua S., Singh A.K., Chattopadhyay A., 2015, Propagation of torsional wave in a composite layer overlying an anisotropic heterogeneous half-space with initial stress, Journal of Vibration and Control, 21, 10, 1987-1998.
  • 8. Gupta S., Bhengra N., 2017a, Dispersion study of propagation of torsional surface wave in a layered structure, Journal of Mechanics, 33(3), 303-315.
  • 9. Gupta S., Bhengra N., 2017b, Implementation of finite difference approximation on the SH-wave propagation in a multilayered magnetoelastic orthotropic composite medium, Acta Mechanica, 228(10), 3421-3444.
  • 10. Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge.
  • 11. Kaur J., Tomar S.K., 2004, Reflection and refraction of SH-waves at a corrugated interface between two monoclinic elastic halfspaces, International Journal for Numerical and Analytical Methods in Geomechanics, 28, 15, 1543-1575.
  • 12. Kaur J., Tomar S.K., Kaushik V.P., 2005, Reflection and refraction of SH-waves at a corrugated interface between two laterally and vertically heterogeneous viscoelastic solid half-spaces, International Journal of Solids and Structures, 42, 13, 3621-3643.
  • 13. Markham M.F., 1970, Measurements of elastic constants of fibre composite by ultrasonics, Composites , 1, 145-149.
  • 14. Maugin G.A., 1981, Wave motion in magnetizable deformable solids, International Journal of Engineering Science, 19, 3, 321-388.
  • 15. Ozturk A., Akbarov S.D., 2009, Torsional wave propagation in a pre-stressed circular cylinder embedded in a pre-stressed elastic medium, Applied Mathematical Modelling, 33, 9, 3636-3649.
  • 16. Selim M.M., 2007, Propagation of torsional surface waves in heterogeneous half-space with irregular free surface, Applied Mathematical Sciences, 1, 29, 1429-1437.
  • 17. Singh M.K., Sahu S.A., 2017, Torsional wave propagation in a pre-stressed structure with corrugated and loosely bonded surfaces, Journal of Theoretical and Applied Mechanics, 47, 4, 48-74.
  • 18. Spencer A.J.M. 1972, Deformation of Fiber-Reinforced Materials, Oxford University Press, London.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a6c25ece-a196-4a62-89d6-375188f308d7
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