References
- 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.
- 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.
- 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.
- 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. https://doi.org/10.1177/1077546313480541
- 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.
- 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. https://doi.org/10.1166/jctn.2014.3356
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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. https://doi.org/10.12989/CAC.2021.27.1.073
- 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.
- 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.
- 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.
- 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.
- Das, P. and Kanoria, M. (2014), "Study of finite thermal waves in a magnetothermoelastic rotating medium", J. Thermal Stress, 37(4), 405-428 https://doi.org/10.1080/01495739.2013.870847
- 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.
- 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.
- 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.
- 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.
- 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 https://doi.org/10.1007/s11043-016-9318-8
- 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. https://doi.org/10.1016/j.rinp.2018.06.035
- 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.
- 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.
- 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.
- 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.
- 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. https://doi.org/10.1166/jctn.2013.3241
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Oldham, K.B. and Spainer, J. (1974), The Fractional Calculus, Academic Press. New York, London.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Zakaria, M. (2014), "Effect of hall current on generalized Magneto-thermoelasticity Micropolar solid subject to ramp type heating", Appl. Mech., 50(1), 92-104.
- 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.