Browse > Article
http://dx.doi.org/10.12989/scs.2022.42.6.723

Rotational and fractional effect on Rayleigh waves in an orthotropic magneto-thermoelastic media with hall current  

Lata, Parveen (Department of Basic and Applied Sciences, Punjabi University)
Himanshi, Himanshi (Department of Basic and Applied Sciences, Punjabi University)
Publication Information
Steel and Composite Structures / v.42, no.6, 2022 , pp. 723-732 More about this Journal
Abstract
The present research is concerned to study the effect of fractional parameter and rotation on the propagation of Rayleigh waves in an orthotropic magneto-thermoelastic media with three-phase-lags in the context of fractional order theory of generalized thermoelasticity with combined effect of rotation and hall current. The secular equations of Rayleigh waves are derived by using the appropriate boundary conditions. The wave properties such as phase velocity, attenuation coefficient are computed numerically and the numerical simulated results are presented through graphs to show the effect on all the components. Some special cases are also discussed in the present investigation.
Keywords
attenuation coefficient; fractional order; hall current; rotation; orthotropic medium; phase velocity; Rayleigh wave propagation; three-phase lags;
Citations & Related Records
Times Cited By KSCI : 18  (Citation Analysis)
연도 인용수 순위
1 Oldham, K.B. and Spainer, J. (1974), The Fractional Calculus, Academic Press. New York, London.
2 Rayleigh (1885), "On waves propagated along the plane surface of an elastic solid", Proceeding of the London Mathematical Society, s1-17(1), 4-11. http://doi.org/10.1112/plms/s1-17.1.4.   DOI
3 Shahsavari, D. Karami, B. and Li, L. (2018), "A higher-order gradient model for wave propagation analysis of porous FG nanoplates", Steel Compos. Struct., 29(1), 053-66. http://doi.org/10.12989/scs.2018.29.1.053.   DOI
4 Tahir, S.I., Chikh, A., Tounsi, A., AL-Osta, M.A., Al-Dulaijan, S. U. and Alzahrani, M.M. (2021), "Wave propagation analysis of a ceramic-metal functionally graded sandwich plate with different porosity distributions in a hygro-thermal environment", Compos. Struct., 269. https://doi.org/10.1016/j.compstruct.2021.114030.   DOI
5 Biswas, S. and Abo-Dahab, S.M. (2018), "Effect of phase lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium", Appl. Mathem. Modelling, 59, 713-727. https://doi.org/10.1016/j.apm.2018.02.025.   DOI
6 Biswas, S. and Mukhopadhyay, B. (2018), "Eigen function expansion method to characterize Rayleigh wave propagation in orthotropic medium with phase lags", Waves Random Complex Media. http://doi.org/ 10.1080/17455030.2018.1470355.   DOI
7 Chikr, S.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin\'s approach", Geomech. Eng., 21(5), 471-487. http://doi.org/10.12989/gae.2020.21.5.471.   DOI
8 Das, P. and Kanoria, M. (2014), "Study of finite thermal waves in a magnetothermoelastic rotating medium", J. Thermal Stress, 37(4), 405-428   DOI
9 Zakaria, M. (2014), "Effect of hall current on generalized Magneto-thermoelasticity Micropolar solid subject to ramp type heating", Appl. Mech., 50(1), 92-104.
10 Xiong, Q. and Tian, X. (2017), "Transient thermo-piezo-elastic responses of a functionally graded piezoelectric plate under thermal shock", Steel Compos. Struct., 25(2), 187-196. http://doi.org/10.12989/scs.2017.25.2.053.   DOI
11 Abd-Alla, A.M., Abo-Dahab, S.M. and Khan, A. (2017), "Rotational effect on thermoelastic Stoneley, Love and Rayleigh waves in fibre-reinforced anisotropic general viscoelastic media of higher order", Struct. Eng. Mech., 61(2), 221-230.http://doi.org/10.12989/sem.2017.61.2.221   DOI
12 EL-Naggar, A.M., Kishka, Z., Abd-Alla, A. and Abbas, I.A. (2013), "On the initial stress, magnetic field, voids and rotation effects on plane waves in generalized Thermoelasticity", J. Computat. Theoretic. Nanosci., 10(6), 1408-1417. http://doi.org/10.1166/jctn.2013.2862.   DOI
13 Singh, B., Kumari, S. and Singh, J. (2014), "Propagation of the Rayleigh wave in an initially stressed transversely isotropic dual phase lag magnetothermoelastic half space", J. Eng. Phys. Thermophy., 87(6), 1539-1547. https://doi.org/10.1007/s10891-014-1160-8.   DOI
14 Ezzat, M.A. (2020), "Fractional thermo-viscoelastic response of biological tissue with variable thermal material properties", J. Thermal Stresses, 43(9), 1120-1137. http://doi.org/10.1080/01495739.2020.1770643.   DOI
15 Hobiny, A.D. and Abbas, I.A. (2018), "Analytical solutions of photo-thermo-elastic waves in a non-homogenous semiconducting material", Result. Phys., 10, 385-390.   DOI
16 Allam, O., Draiche, K., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Mahmoud, S.R., Adda Bedia, E.A. and Tounsi, A. (2020), "A generalized 4-unknown refined theory for bending and free vibration analysis of laminated composite and sandwich plates and shells", Comput. Concrete, 26(2), 185-201. http://doi.org/10.12989/cac.2020.26.2.185.   DOI
17 Horrigue, S. and Abbas, I.A. (2020), "Fractional order thermoelastic wave assessment in a two-dimensional fiber-reinforced anisotropic material", Mathematics, 8(9), 1609. http://doi.org/10.3390/math8091609.   DOI
18 Abbas I.A. (2015), "Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity", Appl. Mathem. Modelling, 39(20), 6196-6206. https://doi.org/ 10.1016/j.apm.2015.01.065.   DOI
19 Abbas, I.A. and Kumar, R. (2014), "Deformation due to thermal source in micropolar generalized thermoelastic half-space by finite element method", J. Comput. Theoretic. Nanosci., 11(1), 185-190. http://doi.org/10.1166/jctn.2014.3335.   DOI
20 Abbas, I.A. and Marin, M. (2017), "Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating", Physica E: Low-Dimens. Syst. Nanostruct., 87, 254-260. http://doi.org/10.2016/j.physe.2016.10.048.   DOI
21 Ahmed, S.M. and Abo-Dahab, S.M. (2012), "Influence of initial stress and gravity field on propagation of Rayleigh and Stoneley waves in a thermoelastic Orthotropic granular medium", Mathem. Prob. Eng., 1-23. https://doi.org/10.1155/2012/245965.   DOI
22 Lata, P. (2021), "Stoneley wave propagation in an orthotropic thermoelastic media with fractional order theory", Compos. Mater. Eng., 3(1), 57-70. http://doi.org/10.12989/cme.2021.3.1.057.   DOI
23 Abd-Alla, A.M., Abo-Dahab, S.M. and Al-Thamali, T.A. (2012), "Propagation of Rayleigh waves in a rotating orthotropic material elastic half-space under initial stress and gravity", J. Mech. Sci. Technol., 26(9), 2815-2823. http://doi.org/10.1007/s12206-012-07336-5.   DOI
24 Abo-Dahab, S.M. and Abbas, I.A. (2011), "LS model on thermal shock problem of generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity", Appl. Mathem. Modelling, 35(8), 3759-3768. http://doi.org/10.1016/j.apm.2011.02.028.   DOI
25 Abouelregal, A.E., Elhagary, M.A., Soleiman, A. and Khalil, K.M. (2020), "Generalized thermoelastic-diffusion model with higher-order fractional time derivatives and four-phase-lags", Mech. Based Des. Struct. Machines, 1-18. http://doi.org/10.1080/15397734.2020.1730189.   DOI
26 Kumar, R., Gupta, V. and Abbas, I.A. (2013), "Plane deformation due to thermal source in fractional order thermoelastic media", J. Comput. Theoretic. Nanosci., 10(10), 2520-2525.   DOI
27 Kumar, R., Sharma, N., Lata, P. and Abo-Dahab, S.M. (2017), "Rayleigh waves in anisotropic magnetothermoelastic medium", Coup. Syst. Mech., 6(3), 317-333. http://doi.org/10.12989/csm.2017.6.3.317.   DOI
28 Lata, P. and Kaur, H. (2021), "Interactions in a homogeneous isotropic modified couple stress thermoelastic solid with multi-dual-phase-lag heat transfer", Steel Compos. Struct., 38(2), 213-221150. http://doi.org/10.12989/scs.2021.38.2.213.   DOI
29 Mahmoud, S.R. (2014), "Effect of Non-Homogenity, Magnetic Field and Gravity Field on Rayleigh Waves in an Initially Stressed Elastic Half-Space of Orthotropic Material Subject to Rotation", J. Comput. Theoretic. Nanosci., 11(7), 1627-1634. http://doi.org/10.1166/jctn.2014.3542.   DOI
30 Marin, M. (1999), "An evolutionary equation in thermoelasticity of dipolar bodies", J. Mathematic. Phys., 40(3), 1391-1399. http://doi.org/10.1063/1.532809.   DOI
31 Menasria, A., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H. and Mahmoud, S.R. (2020), "A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions", Steel Compos. Struct., 36(3), 355-367. http://doi.org/10.12989/scs.2020.36.3.355.   DOI
32 Lata, P. (2021), "Orthotropic magneto-thermoelastic solid with higher order dual-phase-lag model in frequency domain", Struct. Eng. Mech., 77(3), 315-327. http://doi.org/10.12989/sem.2021.77.3.315.   DOI
33 Abbas, I.A., Alzahrani, F.S. and Elaiw, A. (2018), "A DPL model of photothermal interaction in a semiconductor material", Waves Random Complex Media, 29(2), 328-343. https://doi.org/10.1080/17455030.2018.1433901.   DOI
34 Hobiny, A.D. and Abbas, I.A. (2018), "Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source", Int. J. Heat Mass Transfer, 124, 1011-1014. https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.018.   DOI
35 Kumar, R. and Chawla, V. (2014), "General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids", Theoretic. Appl. Mech., 41(4), 247-265. http://doi.org/ 10.2298/TAM1404247.   DOI
36 Lata, P. and Singh, S. (2021), "Stoneley wave propagation in non-local isotropic magneto-thermoelastic solid with multi-dualphase-lag heat transfer", Steel Compos. Struct., 38(2), 141-150. http://doi.org/10.12989/scs.2021.38.2.141.   DOI
37 Marin, M., Vlase, S. and Paun, M. (2015), "Considerations on double porosity structure for micropolar bodies", AIP Adv., 5(3), http://doi.org/10.1063/1.4914912.   DOI
38 Merazka, B., Bouhadra, A., Menasria, A., Selim, M.M., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A. and Al-Zahrani, M.M. (2021), "Hygro-thermo-mechanical bending response of FG plates resting on elastic foundations", Steel Compos. Struct., 39(5), 631-643. http://doi.org/10.12989/scs.2021.39.5.631.   DOI
39 Othman, M.I.A., Said, S. and Marin, M. (2019), "A novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium under the effect of gravity with three-phase-lag model", Int. J. Numer. Meth. Heat Fluid Flow, 29(12), 4788-4806. http://doi.org/10.1108/HFF-04-2019-0359.   DOI
40 Khan, A.A., Bukhari, S.R., Marin, M. and Ellahi, R. (2019), "Effects of chemical reaction on third-grade MHD fluid flow under the influence of heat and mass transfer with variable reactive index", Heat Transfer Research, 50(11), 1061-1080. http://doi.org/10.1615/HeatTransRes.2018028397.   DOI
41 Hobiny, A.D. and Abbas, I.A. (2017), "A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity", Mech. Time-Dependent Mater., 21(1), 61-72   DOI
42 Singh, B. and Verma, S. (2019), "On propagation of Rayleigh type surface wave in five different theories of thermoelasticity", Int. J. Appl. Mech. Eng., 24(3), 661-673. http://doi.org/10.2478/ijame-2019-0041.   DOI
43 Abbas, I.A. (2011), "A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation", Sadhana, 36(3), 411-423. http://doi.org/10.1007/s12046-011-0025-5.   DOI
44 Abbas, I.A. and Zenkour, A.M. (2014), "The effect of rotation and initial stress on thermal shock problem for a fiber-reinforced anisotropic half-space using Green-Naghdi theory", J. Comput. Theoretic. Nanosci., 11(2), 331-338.   DOI
45 Abbas, I.A. and Kumar, R. (2014), "Magneto-thermoelastic response of an infinite functionally graded cylinder using the finite element method", J. Vib. Control, 20(12), 1907-1919.   DOI
46 Hachemi, H., Bousahla, A.A., Kaci, A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A., Al-Zahrani, M.M. and Mahmoud, S.R. (2021), "Bending analysis of functionally graded plates using a new refined quasi-3D shear deformation theory and the concept of the neutral surface position", Steel Compos. Struct., 39(1), 51-64. http://doi.org/10.12989/scs.2021.39.1.051.   DOI
47 Rahmani, M.C., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020), "Influence of boundary conditions on the bending and free vibration behavior of FGM sandwich plates using a four-unknown refined integral plate theory", Comput. Concrete, 25(3), 225-244.http://doi.org/10.12989/cac.2020.25.3.225.   DOI
48 Refrafi, S., Bousahla, A.A., Bouhadra, A., Menasria, A., Bourada, F., Tounsi, A. and Tounsi, A. (2020), "Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations", Comput. Concrete, 25(4), 311-325. http://doi.org/10.12989/cac.2020.25.4.311.   DOI
49 Saeed, T., Abbas, I.A. and Marin, M. (2020), "A GL model on thermo-elastic interaction in a poroelastic material using finite element method", Symmetry, 12(3), http://doi.org/10.3390/sym12030488.   DOI
50 Shaw, S. and Othman, M.I.A. (2019), "Characteristics of Rayleigh wave propagation in orthotropic magneto-thermoelastic half-space: An Eigen function expansion method", Appl. Mathem. Modelling, 67(47), 605-620. http://doi.org/10.1016/j.apm.2018.11.019.   DOI
51 Zerrouki, R., Karas, A., Zidour, M., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., Benrahou, K.H. and Mahmoud, S.R. (2021), "Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam", Struct. Eng. Mech., 78(2), 117-124. http://doi.org/10.12989/sem.2021.78.2.117.   DOI
52 Deswal, S. and Kalkal, K.K. (2014), "Plane waves in a fractional order micropolar magneto-thermoelastic half-space", Wave Motion, 51(1), 100-113. http://doi.org/10.1016/j.wavemoti.2013.06.009.   DOI
53 Bakoura, A., Bourada, F., Bousahla, A., Tounsi, A., Benrahou, K. H., Tounsi, A., Al-Zahrani, M.M. and Mahmoud, S.R. (2021), "Buckling analysis of functionally graded plates using HSDT in conjunction with the stress function method", Comput. Concrete, 27(1), 73-83. http://doi.org/10/12989/cac.2021.27.1.0733.   DOI
54 Chadwick, P. and Windle, D.W. (1964), "Propagation of Rayleigh waves along isothermal and insulated boundaries", Proceeding of the Royal Society of London, 280, 47-71.