Research PaperNo Access

Specific heat and magnetic effects in orthotropic piezoelectric micropolar medium under three-phase-lag thermoelastic model

Lalawmpuia Tochhawng

Department of Mathematics & Computer Science, Mizoram University, Aizawl, Mizoram 796004, India

E-mail Address: opatochhawng14@gmail.com

Search for more papers by this author

S. S. Singh

https://orcid.org/0000-0003-4039-4019

Department of Mathematics & Computer Science, Mizoram University, Aizawl, Mizoram 796004, India

E-mail Address: saratcha32@yahoo.co.uk

Corresponding author.

Search for more papers by this author

, and

Sanjay Debnath

Department of Mathematics & Computer Science, Mizoram University, Aizawl, Mizoram 796004, India

E-mail Address: sdnath613@gmail.com

Search for more papers by this author

https://doi.org/10.1142/S2047684123500100Cited by:0 (Source: Crossref)

Abstract

This paper investigates the nature of physical variables and phase speed of elastic waves in the heat conducting orthotropic magneto-micropolar piezoelectric material under the three-phase-lag model. Using normal mode analysis and appropriate boundary conditions, we obtain the expression of these physical variables of the material. It is evident that five elastic waves can propagate through such a continuum material. The physical variables and phase speed of elastic waves are computed numerically. The effects of magnetic intensity and specific heat of the material on these variables and phase speed are illustrated graphically. Two-dimensional graphs which are of sinusoidal form and three-dimensional graphs of these physical variables are also presented.

Keywords:

References

Aouadi, M. [2008] “ Aspects of uniqueness in micropolar piezoelectric bodies,” Math. Mech. Solids 13, 499–512. Crossref, Google Scholar
Biswas, S. and Abo-Dahab, S. M. [2018] “ Effect of phase-lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium,” Appl. Math. Model. 59, 713–727. Crossref, Google Scholar
Biswas, S., Mukhopadhyay, B. and Shaw, S. [2017] “ Rayleigh surface wave propagation in orthotropic thermoelastic solids under three-phase-lag model,” J. Therm. Stresses 40, 403–419. Crossref, Google Scholar
Choudhuri, S. K. R. [2007] “ On a thermoelastic three-phase-lag model,” J. Therm. Stresses 30, 231–238. Crossref, Google Scholar
Ciumasu, S. G. and Vieru, D. [1999] “ Variational formulations for the vibration of a micropolar piezoelectric body,” J. Acoust. Soc. Am. 105, 1240–1245. Crossref, Google Scholar
Craciun, I. A. [1995] “ Uniqueness theorem in the linear theory of piezoelectric micropolar thermoelasticity,” Int. J. Eng. Sci. 33, 1027–1036. Crossref, Google Scholar
Eringen, A. C. [1999] Microcontinuum Field Theories I: Foundations and Solids (Springer, New York). Crossref, Google Scholar
Eringen, A. C. [2003] “ Continuum theory of micromorphic electromagnetic thermoelastic solids,” Int. J. Eng. Sci. 41, 653–665. Crossref, Google Scholar
Fu, M., Qingze, J. and Yun Z. [2013] “ In situ fabrication and characterization of cobalt ferrite nanorods/graphene composites,” Mater. Charact. 86, 303–315. Crossref, Google Scholar
Goyal, R., Kumar, S. and Sharma, V. [2020] “ A size-dependent micropolar-piezoelectric layered structure for the analysis of love wave,” Waves Random Complex Media 30, 544–561. Crossref, Google Scholar
Hadjiloizi, D. A., Kalamkarov, A. L., Metti, C. and Georgiades A. V. [2014] “ Analysis of smart piezo-magneto-thermo-elastic composite and reinforced plates: Part II Applications,” Curved Layer. Struct. 1, 32–58. Google Scholar
Holger, S., Singh, J. and Tomar, S. K. [2013] “ Time harmonic waves in thermoelastic material with microtemperatures,” Mech. Res. Commun. 48, 8–18. Crossref, Google Scholar
Kaur, I. and Lata, P. [2019] “ Rayleigh wave propagation in transversely isotropic magneto-thermoelastic medium with three-phase-lag heat transfer and diffusion,” Int. J. Mech. Mater. Eng. 14, 1–11. Crossref, Google Scholar
Kumar, R. and Chawla, V. [2011] “ A study of plane wave propagation in anisotropic three-phase-lag and two-phase-lag model,” Int. Commun. Heat Mass Transf. 38, 1262–1268. Crossref, Google Scholar
Kumar, R., Kaur, M. and Rajvanshi, S. C. [2014] “ Reflection and transmission between two micropolar thermoelastic half-spaces with three-phase-lag model,” J. Eng. Phys. Thermophys. 87, 295–307. Crossref, Google Scholar
Kumar, R. and Kaur, M. [2017] “ Reflection and transmission of plane waves at micropolar piezothermoelastic solids,” J. Sol. Mech. 9(3), 508–526. Google Scholar
Khurana, A. and Tomar, S. K. [2007] “ Propagation of plane elastic waves at a plane interface between two electro-microelastic solid half-spaces,” Int. J. Solids Struct. 44, 3773–3795. Crossref, Google Scholar
Lianngenga, R. and Singh, S. S. [2020] “ Reflection of coupled dilatational and shear waves in the generalized micropolar thermoelastic materials,” J. Vib. Control 26, 1948–1955. Crossref, Google Scholar
Mondal, S. and Othman, M. I. A. [2020] “ Memory dependent derivative effect on generalized piezo-thermoelastic medium under three theories,” Waves Random Complex Media 31, 2150–2167. Crossref, Google Scholar
Othman, M. I. A. and Abbas, I. A. [2021] “ 2-D Problem of micropolar thermoelastic rotating medium with eigenvalue approach under the three-phase-lag model,” Waves Random Complex Media 29, 1–6. Crossref, Google Scholar
Said, S. M. [2016] “ Wave propagation in a Magneto-Micropolar thermoelastic medium with two temperatures for three-phase-lag model,” Comput. Mater. Contin. 4, 1–24. Google Scholar
Said, S. M. and Othman, M. I. A. [2016] “ Wave propagation in a two-temperature fiber-reinforced magneto-thermoelastic medium with three-phase-lag model,” Struct. Eng. Mech. 57, 201–220. Crossref, Google Scholar
Sangwan A., Singh, B. and Singh, J. [2018] “ Reflection and transmission of plane waves at an interface between elastic and micropolar piezoelectric solid half-spaces,” Tech. Mech. 38, 267–285. Google Scholar
Shaw, S. and Mukhopadhyay, B. [2015] “ Analysis of Rayleigh surface wave propagation in isotropic micropolar solid under three-phase-lag model of thermoelasticity,” Eur. J. Comput. Mech. 24, 64–78. Crossref, Google Scholar
Singh, B. and Sindhu, R. [2016] “ On propagation of Rayleigh type surface wave in a micropolar piezoelectric medium,” Open J. Acoust. 6, 35–44. Crossref, Google Scholar
Singh, B., Sangwan, A. and Singh, J. [2019] “ Reflection and transmission of elastic waves at an interface between two micropolar piezoelectric half-spaces,” J. Ocean Eng. Sci. 4, 227–237. Crossref, Google Scholar
Singh, S. S., Debnath, S. and Othman, M. I. A. [2022] “ Thermoelastic theories on the refracted waves in microstretch thermoelastic diffusion media,” Int. J. Appl. Mech. 14, 2250008. Link, Google Scholar
Singh, S. S. and Lianngenga, R. [2017] “ Effect of micro-inertia in the propagation of waves in micropolar thermoelastic materials with voids,” Appl. Math. Model. 49, 487–497. Crossref, Google Scholar
Singh, S. S. and Tochhawng, L. [2019] “ Stoneley and Rayleigh waves in thermoelastic materials with voids,” J. Vib. Control 25, 2053–2062. Crossref, Google Scholar
Singh, S. S. and Zorammuana, C. [2014] “ Incident longitudinal wave at a fibre-reinforced thermoelastic half-space,” J. Vib. Control 20, 1895–1906. Crossref, Google Scholar
Tikhonova, S. A., Evdokimov, P. V., Filippov, Ya. Yu., Safronova, T. V., Garshev, A. V., Shcherbakov, I. M., Dubrov, V. E. and Putlyaev V. I. [2020] “ Electro-and magnetoactive materials in medicine: A review of existing and potential areas of application,” Inorg. Mater. 56(13), 1319–1337. Crossref, Google Scholar
Tomar, S. K. and Kumar, A. [2020] “ Propagating waves in elastic material with voids subjected to electro-magnetic interactions,” Appl. Math. Model. 78, 685–705. Crossref, Google Scholar
Tzou, D. Y, [1995] “ The generalized lagging response in small-scale and high-rate heating,” Int. J. Heat Mass Transf. 38, 3231–3240. Crossref, Google Scholar