69
Views
4
CrossRef citations to date
0
Altmetric
Research Articles

Fundamental solution of generalized magneto-thermo-viscoelasticity with two relaxation times for a perfect conductor cylindrical region

&
Pages 1-19 | Received 03 Apr 2020, Accepted 01 Mar 2021, Published online: 15 Mar 2021

References

  • Hetnarski RB. The fundamental solution of the coupled thermoelastic problem for small times. Arch Mech Stosow. 1964;16:23–31.
  • Hetnarski RB. Solution of the coupled problem of thermoelasticity in form of a series of functions. Arch Mech Stosow. 1964;16:919–941.
  • Iesan D. On the theory of thermoelasticity without energy dissipation. J Therm Stress. 1998;21:295–307.
  • Svanadze M. The fundamental solution of the oscillation equations of thermoelasticity theory of mixtures of two solids. J Therm Stress. 1996;19:633–648.
  • Svanadze M. The fundamental matrix of the linearlized equations of the theory of elastic mixtures. Proc I Vekua Inst Appl Math, Tbilisi State Univ. 1988;23:133–148.
  • Svanadze M. Fundamental solution of the system of equations of steady oscillations in the theory of microstrecth elastic solids. Int J Eng Sci 2004;42:1897–1910.
  • Svanadze M. Fundamental solutions of the equations of the theory of thermoelasticity with microtemperatures. J Therm Stress. 2004;27:151–170.
  • Hörmander L. Linear partial differential operators. Berlin: Springer; 1963.
  • Hörmander L. The analysis of linear partial differential operators ii: differential operators with constant coefficients. Berlin: Springer; 1983.
  • Biot M. Thermoelasticity and irreversible thermo-dynamics. J Appl Phys. 1956;127:240–253.
  • Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity. Mech Phys Solid. 1967;15:299–309.
  • Green AE, Lindsay KA. Thermoelasticity. J Elast 1972;2:1–7.
  • Erbay S, Ôuhubi E. Longitudinal wave propagation in a generalized thermo-elastic cylinder. J Therm Stress. 1986;9:279–295.
  • Ignaczak J. A strong discontinuity wave in thermoelastic with relaxation times. J Therm Stress. 1985;8:25–40.
  • Ignaczak J. Decomposition theorem for thermoelasticity with finite wave speeds. J Therm Stress. 1978;1:41–52.
  • Ezzat M. Fundamental solution in thermoelasticity with two relaxation times for cylindrical regions. Int J Eng Sci. 1995;33:2011–2020.
  • El-Maghraby NM, Youssef HM. Space approach to generalized thermoelastic problem with thermo mechanical shock. J Appl Math Comput. 2004;156:577–586.
  • El-Maghraby NM, Youssef HM. A two-dimensional thermoelasticity problem for thermo mechanical shock with two relaxation times. J Appl Math Comput. 2005;120:172–184.
  • Youssef HM, El-Maghraby NM, El-Bary AA. State space approach to thermoelastic problem with vibrational stresses. Comput Math Model 2006;17:243–253.
  • Acharya DP, Sengupta PR. Magneto-thermoelastic surface waves in initially stressed conducting media. Acta Geophys Pol 1978;26:299–311.
  • Chaudhary S, Kaushik VP, Tomar SK. Reflection transmission of plane SH wave through a senf-reinforced elastic layer between two half-spaces. Acta Geophys Pol 2004;52:219–235.
  • Chaudhary S, Kaushik VP, Tomar SK. Plane SH – wave response from elastic slab interposed between two different self-reinforced elastic solids. Int J Appl Mech Eng 2006;11:787–801.
  • De and P SN, Sengupta R. Surface waves in magneto elastic initially stressed conducting media. PAGEOPH. 1972;88:44–52.
  • Othman MIA, Song Y. The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation. Acta Mech. 2006;184:189–204.
  • and B HYX, Song HLYQ, Zhang YC. Magnetothermoelastic wave propagation at the interface between two micropolar viscoelastic media. Appl Math Comp. 2006;176:785–802.
  • Tianhu H, Yapeng S, Xiaogeng T. A two-dimensional generalized thermal shock problem for a half-space in electro magneto-thermoelasticity. Int J Eng Sci. 2004;42:809–823.
  • Verma PDS, Rana OH, Verma M. Magneto-elastic transverse surface waves in self-reinforced elastic solids. Ind J Pure Appl Math. 1988;19:713–716.
  • Fathi S, Ismail MA, El-Bary AA, et al. Effect of magnetic field on thermos: viscoelastic cylinder subjected to a constant thermal. IJAAS. 2020;7:117–124.
  • Chaki MS, Singh AK. The impact of reinforcement and piezoelectricity on SH wave propagation in irregular imperfectly-bonded layered FGPM structures: an analytical approach. Eur J Mech. 2020;80:103872.

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.