136
Views
3
CrossRef citations to date
0
Altmetric
Articles

Eigenvalue approach to study Rayleigh waves in nonlocal orthotropic layer lying over nonlocal orthotropic half-space with dual-phase-lag model

ORCID Icon &
Pages 937-959 | Received 01 Dec 2021, Accepted 29 Apr 2022, Published online: 30 Sep 2022

References

  • A. C. Eringen, Nonlocal continuum field theories, vol. 12, New York: Springer, 2002.
  • A. C. Eringen, “Edge dislocation on nonlocal elasticity,” Int. J. Eng. Sci., vol. 15, pp. 177–183, 1974. DOI: 10.1016/0020-7225(77)90033-9.
  • A. C. Eringen, “Theory of nonlocal thermoelasticity,” Int. J. Eng. Sci., vol. 12, no. 12, pp. 1063–1077, 1974. DOI: 10.1016/0020-7225(74)90033-0.
  • A. C. Eringen, “Memory dependent nonlocal elastic solids,” Lett. Appl. Eng. Sci., vol. 2, pp. 145–149, 1974.
  • A. C. Eringen, “A mixture theory of electromagnetism and superconductivity,” Int. J. Eng. Sci., vol. 36, no. 5/6, pp. 525–543, 1998. DOI: 10.1016/s0020-7225(97)00091-8.
  • H. W. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity,” J. Mech. Phys., vol. 15, no. 5, pp. 299–309, 1967. DOI: 10.1016/0022-5096(67)90024-5.
  • A. E. Green and K. A. Lindsy, “Thermoelasticity,” J. Elast., vol. 2, no. 1, pp. 1–7, 1972. DOI: 10.1007/BF00045689.
  • A. E. Green and P. M. Naghdi, “On damped heat waves in an elastic solid,” J. Therm. Stresses, vol. 15, pp. 252–264, 1992.
  • A. E. Green and P. M. Naghdi, “Thermoelasticity without energy dissipation,” J. Elast., vol. 31, pp. 19–208, 1993. DOI: 10.1007/bf00044969.
  • A. E. Green and P. M. Naghdi, “A re-examination of the basic properties of thermomechanics,” Proc. R. Soc. London A, vol. 432, pp. 171–194, 1991. DOI: 10.1098/rspa.1992.0129.
  • D. S. Chandrasekharaiah, “Hyperbolic thermoelasticity: A review of recent literature,” Appl. Mech. Rev., vol. 51, no. 12, pp. 705–729, 1998. DOI: 10.1115/1.3098984.
  • D. Y. Tzou, “A unique field approach for heat conduction from macro to micro scales,” ASME J. Heat Transf., vol. 117, no. 1, pp. 8–16, 1995. DOI: 10.1115/1.2822329.
  • S. K. Roy Choudhuri, “On a thermoelastic three-phase-lag model,” J. Therm. Stresses, vol. 30, no. 3, pp. 231–238, 2007. DOI: 10.1080/01495730601130919.
  • A. E. Abouelregal, “Rayleigh waves in a thermoelastic solid half-space using the dual-phase-lag model,” Int. J. Eng. Sci., vol. 49, pp. 781–791, 2011. DOI: 10.1016/j.ijengsci.2011.03.007.
  • A. S. Pramanik and S. Biswas, “Surface waves in nonlocal thermoelastic medium with state approach,” J. Therm. Stresses, vol. 43, no. 6, pp. 667–686, 2020. DOI: 10.1080/01495739.2020.1734129.
  • A. Khurana and S. K. Tomar, “Wave propagation in nonlocal microstretch solid,” Appl. Math. Model., vol. 40, pp. 5885–6875, 2016.
  • D. S. Chandrasekharaiah and K. R. Srikanta, “On temperature rate dependent thermoelastic Rayleigh waves in half-space,” Gerlands Beirtage zur Geophys., vol. 93, pp. 133–141, 1988.
  • S. Biswas, “Surface waves in porous nonlocal thermoelastic orthotropic medium,” Acta Mech., vol. 231, no. 7, pp. 2741–2760, 2020c. DOI: 10.1007/s00707-020-02670-2.
  • S. Biswas and B. Mukhopadhyay, “Eigenfunction expansion method to analyze thermal shock behavior in a magneto-thermoelastic orthotropic medium under three theories,” J. Therm. Stresses, vol. 41, no. 3, pp. 366–382, 2018. DOI: 10.1080/01495739.2017.01393780.
  • S. Biswas and B. Mukhopadhyay, “Eigenfunction expansion method to characterize Rayleigh wave propagation in orthotropic medium with phase lags,” Waves Random Complex Media, vol. 29, no. 4, pp. 722–742, 2018. DOI: 10.1080/17455030.2018.1470355.
  • N. C. Dwan and S. K. Chakraborty, “On Rayleigh waves in Green-Lindsay’s model of generalized thermoelastic media,” Indian J. Pure Appl. Math., vol. 20, no. 3, pp. 276–283, 1988.
  • S. Biswas, “Rayleigh waves in a nonlocal thermoelastic layer lying over a nonlocal thermoelastic half-space,” Acta Mech., vol. 231, no. 10, pp. 4129–4144, 2020. DOI: 10.1007/s00707-020-02751-2.
  • S. Biswas, B. Mukhopadhyay, and S. Shaw, “Rayleigh surface wave propagation in orthotropic thermoelastic solids under three-phase-lag model,” J. Therm. Stresses, vol. 40, no. 4, pp. 403–419, 2017. DOI: 10.1080/01495739.2017.1283971.
  • S. Biswas, “Surface waves in piezothermoelastic transversely isotropic layer lying over piezothermoelastic transversely isotropic half-space,” Acta Mech., vol. 232, no. 2, pp. 373–387, 2021. DOI: 10.1007/s00707-020-02848-8.
  • S. Biswas and S. M. Abo-Dahab, “Effect of phase-lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium,” Appl. Math. Mod. (Elsevier), vol. 59, pp. 713–727, 2018. DOI: 10.1016/j.apm.2018.02.025.
  • R. Wojnar, “Rayleigh waves in thermoelasticity with relaxation time,” 1985. International Conference on Surface Waves in Plasma and Solids, pp. 5–11.
  • B. Singh, S. Kumari, and J. Singh, “Propagation of Rayleigh wave in an initially stressed transversely isotropic dual phase lag magneto thermoelastic half-space,” J. Eng. Phys. Thermophys., vol. 87, no. 6, pp. 1539–1547, 2014. DOI: 10.1007/s10891-014-1160-8.
  • S. Biswas, “Three-dimensional nonlocal thermoelasticity in orthotropic medium based on Eringen’s nonlocal elasticity,” Waves Random Complex Media, vol. 32, no. 3, pp. 1128–1149, 2020. DOI: 10.1080/17455030.2020.1810366.
  • A. S. Pramanik and S. Biswas, “Eigenvalue approach to hyperbolic thermoelastic problem in porous orthotropic medium with Green-Lindsay model,” Mech. Based Des. Struct. Mach., pp. 1–17, 2020. DOI: 10.1080/15397734.2020.1830291.
  • S. Biswas, “Rayleigh waves in porous nonlocal orthotropic thermoelastic layer lying over porous nonlocal orthotropic thermoelastic half-space,” Waves Random Complex Media, pp. 1–27, 2021. DOI: 10.1080/17455030.2021.1876279.
  • J. Ignaczak and M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds. Oxford: Oxford University Press, 2009.
  • P. Puri and S. C. Cowin, “Plane waves in linear elastic materials with voids,” J. Elast., vol. 15, no. 2, pp. 167–183, 1985. DOI: 10.1007/BF00041991.
  • H. Kolsky, Stress Waves in Solids. New York: Dover Press, 1963.
  • J. L. Nowinski, “Theory of thermoelasticity with applications,” Mech. Surf. Struct., vol. 3, pp. 1–852, 1978.
  • A. N. Abd-Alla and A. A. S. Al-Dawy, “Thermal relaxation times effect on Rayleigh waves in generalized thermoelastic media,” J. Therm. Stresses, vol. 24, no. 4, pp. 367–382, 2001. DOI: 10.1080/01495730151078171.
  • A. Nayfeh and S. Nemat-Nasser, “Thermoelastic waves in solids with thermal relation,” Acta Mech., vol. 12, no. 1–2, pp. 53–69, 1971. DOI: 10.1007/BF01178389.
  • A. M. Abd-Alla, S. M. Abo-Dahab and H. A. H. Hammad, “Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field,” Appl. Math. Model., vol. 35, no. 6, pp. 2981–3000, 2011. DOI: 10.1016/j.apm.2010.11.067.
  • V. K. Agarwal, “On surface waves in generalized thermoelasticity,” J. Elast., vol. 8, no. 2, pp. 171–177, 1978. DOI: 10.1007/BF00052480.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.