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Original Articles

Magnetic and rotational effects on the reflection of inhomogeneous waves in a fiber-reinforced thermoelastic material

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Pages 7690-7702 | Received 23 Oct 2021, Accepted 06 Nov 2021, Published online: 07 Dec 2021

References

  • A. J. M. Spencer, Continuum Theory of the Mechanics of Fibre-Reinforced Composites, Springer, New York, 1984. DOI: 10.1007/978-3-7091-4336-0.
  • A. J. Belfield, T. G. Rogers, and A. J. M. Spencer, Stress in elastic plates reinforced by fibres lying in concentric circles, J. Mech. Phys. Solids., vol. 31, no. 1, pp. 25–54, 1983. DOI: 10.1016/0022-5096(83)90018-2.
  • B. Singh, and S. J. Singh, Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space, Sadhana., vol. 29, no. 3, pp. 249–257, 2004. DOI: 10.1007/BF02703774.
  • A. Chattopadhyay, R. L. K. Venkateswarlu, and S. Saha, Reflection of quasi-P and quasi-SV waves at the free and rigid boundaries of a fibre-reinforced medium, Sadhana., vol. 27, no. 6, pp. 613–630, 2002. DOI: 10.1007/BF02703354.
  • B. Singh, Wave propagation in thermally conducting linear fibre-reinforced composite materials, Arch. Appl. Mech., vol. 12, pp. 1–7, 2006. DOI: 10.1007/s00419-005-0438-x.
  • S. S. Singh, and C. Zorammuana, Incident longitudinal wave at a fibre-reinforced thermoelastic half-space, J. Vib. Control., vol. 20, no. 12, pp. 1895–1906, 2014. DOI: 10.1177/1077546313483785.
  • A. E. Abouelregal, Fibre-reinforced generalized anisotropic thick plate with initial stress under the influence of fractional thermoelasticity theory, Adv. Appl. Math. Mech., vol. 9, no. 3, pp. 722–741, 2017. DOI: 10.4208/aamm.2015.m60.
  • S. S. Singh, and S. K. Tomar, Shear waves at a corrugated interface between two dissimilar fiber-reinforced elastic half-spaces, J. Mech. Mater. Struct., vol. 2, no. 1, pp. 167–188, 2007. DOI: 10.2140/jomms.2007.2.167.
  • I. A. Abbas, A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation, Sadhana., vol. 36, no. 3, pp. 411–423, 2011. DOI: 10.1007/s12046-011-0025-5.
  • T. J. Chen, C. S. Chen, and C. W. Chen, Dynamic response of fiber-reinforced composite plates, Mech. Compos. Mater., vol. 47, no. 5, pp. 549–560, 2011. DOI: 10.1007/s11029-011-9233-7.
  • I. A. Abbas, and A. N. Abd-Alla, A study of generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole, Acta Phys. Pol. A., vol. 119, no. 6, pp. 814–818, 2011. DOI: 10.12693/APhysPolA.119.814.
  • A. E. Abouelregal, and A. M. Zenkour, On the generalized thermoelasticity problem for an infinite fibre-reinforced thick plate under initial stress, Adv. Appl. Math. Mech., vol. 6, no. 06, pp. 783–796, 2014. DOI: 10.4208/aamm.2013.m206.
  • A. E. Abouelregal, and S. M. Abo-Dahab, A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model, Sadhana., vol. 43, no. 1, pp. 13:1-11, 2018. DOI: 10.1007/s12046-017-0769-7.
  • A. M. Zenkour, and A. E. Abouelregal, Fractional thermoelasticity model of a 2D problem of mode-I crack in a fibre-reinforced thermal environment, J. Appl. Comput. Mech., vol. 5, no. 2, pp. 269–280, 2019. DOI: 10.22055/JACM.2018.25933.1303.
  • H. W. Lord, and Y. Shulman, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids., vol. 15, no. 5, pp. 299–309, 1967. DOI: 10.1016/0022-5096(67)90024-5.
  • R. S. Dhaliwal, and H. H. Sherief, Generalized thermoelasticity for anisotropic media, Quart. Appl. Math., vol. 38, no. 1, pp. 1–8, 1980. DOI: 10.1090/qam/575828.
  • H. Singh, and J. N. Sharma, Generalized thermoelastic waves in transversely isotropic media, J. Acoust. Soc. Am., vol. 77, no. 3, pp. 1046–1053, 1985. DOI: 10.1121/1.392391.
  • B. Singh, Wave propagation in an anisotropic generalized thermoelastic solid, Indian J. Pure Appl. Math., vol. 34, pp. 1479–1485, 2003.
  • M. D. Sharma, Wave propagation in anisotropic generalized thermoelastic media, J. Therm. Stresses., vol. 29, no. 7, pp. 629–642, 2006. DOI: 10.1080/01495730500499100.
  • M. D. Sharma, Existence of longitudinal and transverse waves in anisotropic thermoelastic media, Acta Mech., vol. 209, no. 3–4, pp. 275–283, 2010. DOI: 10.1007/s00707-009-0178-z.
  • I. A. Abbas, and M. Marin, Analytical solutions of a two-dimensional generalized thermoelastic diffusions problem due to laser pulse, Iran. J. Sci. Technol. Trans. Mech. Eng., vol. 42, no. 1, pp. 57–71, 2018. DOI: 10.1007/s40997-017-0077-1.
  • M. Marin, M. I. A. Othman, A. R. Seadawy, and C. Carstea, A domain of influence in the Moore-Gibson-Thompson theory of dipolar bodies, J. Taibah Univ. Sci., vol. 14, no. 1, pp. 653–660, 2020. DOI: 10.1080/16583655.2020.1763664.
  • A. E. Green, and P. M. Naghdi, Thermoelasticity without energy dissipation, J. Elasticity., vol. 31, no. 3, pp. 189–208, 1993. DOI: 10.1007/BF00044969.
  • P. Ponnusamy, Wave propagation in a generalized thermoelastic solid cylinder of arbitrary cross-section, Int. J. Solids Struct., vol. 44, no. 16, pp. 5336–5348, 2007. DOI: 10.1016/j.ijsolstr.2007.01.003.
  • M. Aouadi, Generalized theory of thermoelastic diffusion for anisotropic media, J. Therm. Stresses., vol. 31, no. 3, pp. 270–285, 2008. DOI: 10.1080/01495730701876742.
  • R. Kumar, and T. Kansal, Propagation of Lamb waves in transversely isotropic thermoelastic diffusive plate, Int. J. Solids Struct., vol. 45, no. 22-23, pp. 5890–5913, 2008. DOI: 10.1016/j.ijsolstr.2008.07.005.
  • R. Kumar, and S. Devi, Wave propagation in mixture of generalized thermoelastic solids half-space, J. Solid Mech., vol. 2, pp. 199–213, 2010.
  • P. Ponnusamy, and M. Rajagopal, Wave propagation in a transversely isotropic thermoelastic solid cylinder of arbitrary cross-section, Acta Mech. Solida Sin., vol. 24, no. 6, pp. 527–538, 2011. DOI: 10.1016/S0894-9166(11)60053-0.
  • M. C. Singh, and N. Chakraborty, Reflection and refraction of P, SV and thermal wave at an initially stressed solid-liquid interface in generalized thermoelasticity, Appl. Math. Model., vol. 37, no. 1-2, pp. 463–475, 2013. DOI: 10.1016/j.apm.2012.03.008.
  • J. Bhagwan, and S. K. Tomar, Reflection and transmission of plane dilatational wave at a plane interface between an elastic solid half-space and a thermo-viscoelastic solid half-space with voids, J. Elast., vol. 121, no. 1, pp. 69–88, 2015. DOI: 10.1007/s10659-015-9522-9.
  • C. Zorammuana, and S. S. Singh, Elastic waves in thermoelastic saturated porous medium, Meccanica., vol. 51, no. 3, pp. 593–609, 2016. DOI: 10.1007/s11012-015-0225-x.
  • F. Paria, On magneto-thermoelastic plane waves, Math. Proc. Camb. Phil. Soc., vol. 58, no. 3, pp. 527–531, 1962. DOI: 10.1017/S030500410003680X.
  • M. Schoenberg, and D. Censor, Elastic waves in rotating media, Quart. Appl. Math., vol. 31, no. 1, pp. 115–125, 1973. DOI: 10.1090/qam/99708.
  • S. K. R. Chaudhuri, and L. Debnath, Magneto thermoelastic plane waves in rotating media, Int. J. Eng. Sci., vol. 21, no. 2, pp. 155–163, 1983. DOI: 10.1016/0020-7225(83)90007-1.
  • M. I. A. Othman, and Y. Song, Reflection of magneto-thermo-elastic waves from a rotating elastic half-space, Int. J. Eng. Sci., vol. 46, no. 5, pp. 459–474, 2008. DOI: 10.1016/j.ijengsci.2007.12.004.
  • S. M. Abo-Dahab, R. A. Mohamed, and B. Singh, Rotation and magnetic field effects on P wave reflection from a stress-free surface of elastic half-space with voids under one thermal relaxation time, J. Vib. Control., vol. 17, no. 12, pp. 1827–1839, 2011. DOI: 10.1177/1077546310371491.
  • K. Lotfy, S. M. Abo-Dahab, and A. D. Hobiny, Magneto-rotation-fibre-reinforced thermoelastic with gravity and energy dissipation, Int. J. Comput. Methods Eng. Sci. Mech., vol. 20, no. 1, pp. 14–28, 2019. DOI: 10.1080/15502287.2018.1520755.
  • M. I. A. Othman, Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times, Int. J. Solids Struct., vol. 41, no. 11–12, pp. 2939–2956, 2004. DOI: 10.1016/j.ijsolstr.2004.01.009.
  • M. I. A. Othman, and S. Y. Atwa, Effect of rotation on a fiber-reinforced thermo-elastic under Green-Naghdi theory and influence of gravity, Meccanica., vol. 49, no. 1, pp. 23–36, 2014. DOI: 10.1007/s11012-013-9748-1.
  • M. I. A. Othman, and S. Y. Atwa, Generalized magneto-thermoelasticity in a fiber-reinforced anisotropic half-space with energy dissipation, Int. J. Thermophys., vol. 33, no. 6, pp. 1126–1142, 2012. DOI: 10.1007/s10765-012-1234-9.
  • M. I. A. Othman, R. S. Tantawi, and M. I. M. Hilal, Rotation and modified Ohm’s law influence on magneto-thermoelastic micropolar material with microtemperatures, Appl. Math. Comput., vol. 276, pp. 468–480, 2016. DOI: 10.1016/j.amc.2015.12.031.
  • S. Deswal, S. K. Sheokand, and K. K. Kalkal, Reflection at the free surface of fiber-reinforced thermoelastic rotating medium with two-temperature and phase-lag, Appl. Math. Model., vol. 65, pp. 106–119, 2019. DOI: 10.1016/j.apm.2018.08.004.
  • M. D. Sharma, and S. Nain, Complete phenomenon of reflection at the plane boundary of a dissipative anisotropic elastic medium, Geophys. J. Int., vol. 224, no. 2, pp. 1015–1027, 2021. DOI: 10.1093/gji/ggaa502.
  • R. D. Borcherdt, 2009. Viscoelastic Waves in Layered Media, Cambridge University Press, New York, DOI: 10.1017/CBO9780511580994.
  • S. K. Tomar, and S. Goyal, Elastic waves in swelling porous media, Transp. Porous Med., vol. 100, no. 1, pp. 39–68, 2013. DOI: 10.1007/s11242-013-0204-4.
  • S. Goyal, J. Bhagwan, and S. K. Tomar, Elastic waves at the plane interface of swelling porous half-space and viscoelastic half-space with voids, Int. J. Mech. Sci., vol. 188, pp. 105942, 2020. DOI: 10.1016/j.ijmecsci.2020.105942.
  • J. D. Achenbach, Wave Propagation in Elastic Solids, North-Holland Publishing Company, New York, 1976.
  • M. D. Sharma, Comments on Reflection of plane waves at the initially stressed surface of a fiber-reinforced thermoelastic half-space with temperature dependent properties. Int. J. Mech. Mater. Des., vol. 15, pp. 663–666, 2019. DOI: 10.1007/s10999-020-09485-y.

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