References
- Abbas, I.A. and Kumar, R. (2016), "2D deformation in initially stressed thermoelastic half-space with voids", Steel Compos. Struct., 20(5), 1103-1117. https://doi.org/10.1166/jctn.2014.3454.
- Abd-Alla, A.M. and Ahmed, S.M. (1998), "Rayleigh Waves in an Orthotropic Thermoelastic Medium under Gravity and Initial Stress", Earth Moon Planet., 75, 185-197. https://doi.org/10.1007/BF02592996.
- Abd-Elaziz, E.M. and Hilal, M.I.M. (2018), "The influence of Thomson effect and inclined loads in an electro-magneto-thermoelastic solid with voids under Green-Naghdi theories", J. Ocean Eng. Sci., 3(3), 253-264. https://doi.org/10.1016/j.joes.2018.08.003.
- Abd-Elaziz, E.M. and Othman, M.I.A. (2019), "Effect of Thomson and thermal loading due to laser-pulse in a magneto-thermoelastic porous medium with energy dissipation", Zeitschrift fur Angewandte Mathematik und Mechanik, 99(8), 1-18. https://doi.org/10.1002/zamm.201900079.
- Abd-Elaziz, E.M. and Othman, M.I.A. (2020), "On a magneto-poro-thermoelastic medium under the influence of the Seebeck effect", Int. J. Numer. Meth. Geomech., 44, 705-719. https://doi.org/10.1002/nag.3039.
- Abd-Elaziz, E.M., Marin, M. and Othman, M.I.A. (2019), "On the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory", Symmetry, 11(3), 413-430. https://doi.org/10.3390/sym11030413.
- Abouelregal, A.E. and Abo-Dahab, S.M. (2014), "Dual-phase-lag diffusion model for thomson's phenomenon on elctromagneto-thermoelastic an infinitely long solid cylinder", J. Comput. Theor. Nanosci., 11(4), 1-9. https://doi.org/10.1166/jctn.2014.3459.
- Abousleiman, Y. and Ekbote, S. (2005), "Solutions for the inclined borehole in a poro-thermo-elastic transversely isotropic medium", ASME J. Appl. Mech., 72(1), 102-114. https://doi.org/10.1115/1.1825433.
- Abualnour, M., Chikh, A., Hebali, H., Kaci, A., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2019), "Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory", Comput. Concrete, 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.
- Addou, F.Y., Meradjah, M., Bousahla, A.A., Benachour, A., Bourada, F., Tounsi, A. and Mahmoud, S.R. (2019), "Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT", Comput. Concrete, 24(4), 347-367. https://doi.org/10.12989/cac.2019.24.4.347.
- Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magnetoelastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485.
- Allam, M.N., Elsibai, K.A. and Abouelergal, A.E. (2009), "Electromagneto-thermoelastic problem in a thick plate using Green and Naghdi theory", Int. J. Eng. Sci., 47, 680-690. https://doi.org/10.1016/j.ijengsci.2008.10.013.
- Atwa, S.Y. (2014), "Generalized magneto-thermoelasticity with two temperature andinitial stress under Green-Naghdi theory", Appl. Math. Model., 38, 5217-30. https://doi.org/10.1016/j.apm.2014.04.0.
- Balubaid, M., Tounsi, A., Dakhel, B. and Mahmoud, S.R. (2019), "Free vibration investigation of FG nanoscale plate using nonlocal two variables integral refined plate theory", Comput. Concrete, 24(6), 579-586. https://doi.org/10.12989/cac.2019.24.6.579.
- Belbachir, N., Bourada, M., Draiche, K., Tounsi, A., Bourada, F., Bousahla, A.A. and Mahmoud, S.R. (2020), "Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory", Smart Struct. Syst., 25(4), 409-422. https://doi.org/10.12989/sss.2020.25.4.409.
- Belbachir, N., Draich, K., Bousahla, A.A., Bourada, M., Tounsi, A. and Mohammadimehr, M. (2019), "Bending analysis of antisymmetric cross-ply laminated plates under nonlinear thermal and mechanical loadings", Steel Compos. Struct., 33(1), 81-92. https://doi.org/10.12989/scs.2019.33.1.081.
- Berghouti, H., Adda Bedia, E.A., Benkhedda, A. and Tounsi, A. (2019), "Vibration analysis of nonlocal porous nanobeams made of functionally graded material", Adv. Nano Res., 7(5), 351-364. https://doi.org/10.12989/anr.2019.7.5.351.
- Biot, M.A. (1956a), "General solutions of the equations of elasticity and consolidation for a porous material", J. Appl. Mech., 23, 91-96. https://doi.org/10.1115/1.4011213
- Biot, M.A. (1956b), "Theory of propagation of elastic waves in a fluid-saturated porous solid. I Low frequency range. II. Higher frequency range", J. Acoust. Soc. Am., 28, 168-191. https://doi.org/10.1121/1.1908239.
- Biot, M.A. (1962), "Mechanics of deformation and acoustic propagation in porous media", J. Appl. Phys., 33, 1482-1498. https://doi.org/10.1063/1.1728759.
- Bourada, F., Bousahla, A.A., Bourada, M., Azzaz, A., Zinata, A. and Tounsi, A. (2019), "Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory", Wind Struct., 28(1), 19-30. https://doi.org/10.12989/was.2019.28.1.019.
- Bousahla, A.A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Bedia, E.A. and Tounsi, A. (2020), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory", Comput. Concrete, 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155.
- Boussoula, A., Boucham, B., Bourada, M., Bourada, F., Tounsi, A., Bousahla, A.A. and Tounsi, A. (2020), "A simple nth-order shear deformation theory for thermomechanical bending analysis of different configurations of FG sandwich plates", Smart Struct. Syst., 25(2), 197-218. https://doi.org/10.12989/sss.2020.25.2.197.
- Chirila, A. and Marin, M. (2018), "The theory of generalized thermoelasticity with fractional order strain for dipolar materials with double porosity", J. Mater. Sci., 53(5), 3470-3482. https://doi.org/10.1007/s10853-017-1785-z.
- Choudhuri, S.K.R. (1984), "Electro-magneto-thermoelastic plane waves in rotating media with thermal relaxation", Int. J. Eng. Sci., 22, 519-530. https://doi.org/10.1016/0020-7225(84)90054-5.
- Coussy, O. (1991), "Thermoporoelastic response of a borehole", Tran. Porous Media, 21, 121-146.
- Draiche, K., Bousahla, A.A., Tounsi, A., Alwabli, A.S., Tounsi, A. and Mahmoud, S.R. (2019), "Static analysis of laminated reinforced composite plates using a simple first-order shear deformation theory", Comput. Concrete, 24(4), 369-378. https://doi.org/10.12989/cac.2019.24.4.369.
- Feng, G. and Yang, X.J. (2016), "Fractional Maxwell fluid with fractional derivative without singular kernel", Therm. Sci., 20(3), 871-877. https://doi.org/10.2298/TSCI16S3871G.
- Ghassemi A., Tao, Q. and Diek, A. (2009), "Influence of coupled chemo-poro-thermoelastic processes on pore pressure and stress distributions around a wellbore in swelling shale", J. Petroleum. Sci. Eng., 67, 57-64. https://doi.org/10.1016/j.petrol.2009.02.015.
- Ghassemi, A. and Diek, A. (2002), "Poro-thermoelasticity for swelling shales", J. Petroleum. Sci. Eng., 34, 123-135. https://doi.org/10.1016/S0920-4105(02)00159-6.
- Ghassemi, A. and Zhang, Q. (2004), "A transient fictitious stress boundary element method for Poro-thermoelastic media", J. Eng. Anal. Bound. Elem., 28(11), 1363-1373. https://doi.org/10.1016/j.enganabound.2004.05.003.
- Hussain, F., Ellahi, R. and Zeeshan, A. (2018), "Mathematical models of electro-magneto-hydro-dynamic multiphase flows synthesis with nano sized hafnium particles", Appl. Sci., 8(2), 275-292. https://doi.org/10.3390/app8020275.
- Hussain, M., Naeem, M.N., Tounsi, A. and Taj, M. (2019), "Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity", Adv. Nano Res., 7(6), 431-442. https://doi.org/10.12989/anr.2019.7.6.431.
- Jabbari, M. and Dehbani, H. (2011), "An exact solution for quasistatic poro-thermoelasticity in spherical coordinate", Iran. J. Mech. Eng., 12(1), 86-108. https://doi.org/10.1007/978-007-2739_1008.
- Kaddari, M., Kaci, A., Bousahla, A.A., Tounsi, A., Bourada, F., Tounsi, A., ... & Al-Osta, M.A. (2020), "A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: Bending and Free vibration analysis", Comput. Concrete, 25(1), 37-57. https://doi.org/10.12989/cac.2020.25.1.037.
- Karami, B., Janghorban, M. and Tounsi, A. (2019a), "On pre stressed functionally graded anisotropic nanoshell in magnetic field", J. Brazil. Soc. Mech. Sci. Eng., 41, 495. https://doi.org/10.1007/s40430-019-1996-0.
- Karami, B., Janghorban, M. and Tounsi, A. (2019b), "On exact wave propagation analysis of triclinic material using three dimensional bi-Helmholtz gradient plate model", Struct. Eng. Mech., 69(5), 487-497. https://doi.org/10.12989/sem.2019.69.5.487.
- Kumar, R., Kumar, S. and Gourla, M.G. (2016), "Axisymmetric Problem in Thermoporoelastic Medium", Am. J. Eng. Res., 5(4), 01-14.
- Li, X., Cui, L. and Roegiers, J.C. (1998), "Thermoporoelastic modeling of wellbore stability in non-hydrostatic stress field", Int. J. Rock Mech. Min. Sci., 35(4/5), 584-588. https://doi.org/10.1016/S0148-9062(98)00079-5.
- Mahmoud, S.R. (2012), "Influence of rotation and generalized magneto-thermoelastic on Rayleigh waves in a granular medium under effect of initial stress and gravity field", Meccanica, 47, 1561-1579. https://doi.org/10.1007/s11012-011-9535-9.
- Mahmoudi, A., Benyoucef, S., Tounsi, A., Benachour, A., Adda Bedia, E.A. and Mahmoud, S. (2019), "A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations", J. Sandw. Struct. Mater., 21(6), 1906-1926. https://doi.org/10.1177/1099636217727577.
- Marin, M. (1994), "The Lagrange identity method in thermoelasticity of bodies with microstructure", Int. J. Eng. Sci., 32(8), 1229-1240. https://doi.org/10.1016/0020-7225(94)90034-5.
- Marin, M. (2010), "Lagrange identity method for microstretch thermoelastic materials", J. Math. Anal. Appl., 363(1), 275-286. https://doi.org/10.1016/j.jmaa.2009.08.045.
- Marin, M. and Nicaise, S. (2016), "Existence and stability results for thermoelastic dipolar bodies with double porosity", Contin. Mech. Thermodyn., 28(6), 1645-1657. https://doi.org/10.1007/s00161-016-0503-4.
- Marin, M., Craciun, E.M. and Pop, N. (2016) "Considerations on mixed initial-boundary value problems for micropolar porous bodies", Dyn. Syst. Appl., 25 (1-2), 175-196.
- Marin, M., Ellahi, R. and Chirila, A. (2017), "On solutions of Saint-Venant's problem for elastic dipolar bodies with voids", Carpat. J. Math., 33(2), 219-232. https://doi.org/10.37193/CJM.2017.02.09
- Marin, M., Vlase, S., Ellahi, R. and Bhatti, M.M. (2019), "On the partition of energies for the backward in time problem of thermoelastic materials with a dipolar structure", Symmetry, 11(7), 1-16. https://doi.org/10.3390/sym11070863.
- McTigue, D.F. (1986),"Thermoelastic response of fluid-saturated porous rock", J. Geophys. Res., 91(B9), 9533-9542. https://doi.org/10.1029/JB091iB09p09533.
- Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., ... & Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.
- Othman, M.I.A and Abd-Elaziz, E.M. (2017), "Plane waves in a magneto-thermoelastic solids with voids and microtemperatures due to hall current and rotation", Result. Phys., 7, 4253-4263. https://doi.org/10.1016/j.rinp.2017.10.053.
- Othman, M.I.A. (2005), "Generalized electromagneto-thermoelastic plane waves by thermal shock problem in a finite conductivity half-space with one relaxation time", Multi. Model. Mater. Struct., 1(3), 231-250. https://doi.org/10.1163/157361105774538557.
- Othman, M.I.A. and Eraki, E.E.M. (2017), "Generalized magneto-thermoelastic half-space with diffusion under initial stress using three-phase-lag model", Mech. Bas. Des. Struct. Mach., 45(2), 145-159. https://doi.org/10.1080/15397734.2016.1152193.
- Othman, M.I.A. and Said, S.M. (2014), "2-D problem of magneto-thermoelasticity fiber-reinforced medium under temperature-dependent properties with three-phase-lag theory", Meccanica, 49(5),1225-1243. https://doi.org/10.1007/s11012-014-9879-z.
- Othman, M.I.A., Hasona, W.M. and Abd-Elaziz, E.M. (2014), "The effect of rotation on fiber-reinforced under generalized magneto-thermoelasticity subject to thermal loading due to laser pulse: Comparison of different theories", Can. J. Phys., 92(9), 1002-1015. https://doi.org/10.1139/cjp-2013-0321.
- Othman, M.I.A., Hasona, W.M. and Abd-Elaziz, E.M. (2015), "Effect of rotation and initial stresses on generalized micropolar thermo-elastic medium with three-phase-lag", J. Compos. Theor. Nanosci., 12, 2030-2040. https://doi.org/10.1166/jctn.2015.3983.
- Othman, M.I.A., Lotfy, Kh. and Farouk, R.M. (2009), "Transient disturbance in a half-space using generalized magneto-thermoelasticity with internal heat source", Acta Physica Polonica A, 116(2), 185-192. https://doi.org/10.12693/APhysPolA.116.185.
- Othman, M.I.A., Tantawi, R.S. and Abd-Elaziz, E.M. (2016), "Effect of initial stress on a thermoelastic medium with voids and microtemperatures", J. Porous Media, 19(2), 155-172. https://doi.org/10.1615/JPorMedia.v19.i2.40.
- Othman, M.I.A., Tantawi, R.S. and Hilal, M.I.M. (2018), "Laser pulse, initial stress and modified Ohm's law in micropolar thermoelasticity with microtemperatures", Result. Phys., 8, 642-653. https://doi.org/10.1016/j.rinp.2017.12.059.
- Palciauskas, V.V. and Domenico, P.A. (1982) "Characterization of drained and undrained response of thermally loaded repository rocks", Water Resour. Res., 18, 281-290. https://doi.org/10.1029/WR018i002p00281.
- Paria, G.B. (1966), "Magneto-elasticity and magneto-thermoelasticity", Adv. Appl. Mech., 10, 73-112. https://doi.org/10.1016/S0065-2156(08)70394-6.
- Refrafi, S., Bousahla, A.A., Bouhadra, A., Menasria, A., Bourada, F., Tounsi, A. and Tounsi, A. (2020), "Effects of hygro-thermomechanical conditions on the buckling of FG sandwich plates resting on elastic foundations", Comput. Concrete, 25(4), 311-325. http://dx.doi.org/10.12989/cac.2020.25.4.311.
- Santwana, B. and Choudhuri, S.K.R. (1997), "Magneto-thermoelastic interactions in an infinite isotropic elastic cylinder subjected to a periodic loading", Int. J. Eng. Sci., 35, 437-444. https://doi.org/10.1016/S0020-7225(96)00070-5.
- Semmah, A., Heireche, H., Bousahla, A.A. and Tounsi, A. (2019), "Thermal buckling analysis of SWBNNT on Winkler foundation by non local FSDT", Adv. Nano Res., 7(2), 89-98. https://doi.org/10.12989/anr.2019.7.2.089.
- Singh, B. (2011), "On propagation of plane waves in generalized porothermoelasticity", Bull. Seismol. Soc. Am., 101, 756-762. http://dx.doi.org/10.1785/0120100091.
- Singh, B. (2013), "Reflection of plane waves from a free surface of a porothermoelastic solid half-space", J. Porous Media, 16, 945-957. http://dx.doi.org/10.1615/JPorMedia.v16.i10.60.
- Tounsi, A., Al-Dulaijan, S.U., Al-Osta, M.A., Chikh, A., Al-Zahrani, M.M., Sharif, A. and Tounsi, A. (2020), "A four variable trigonometric integral plate theory for hygro-thermomechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation", Steel Compos. Struct., 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511.
- Yang, X.J., Machado, J.A.T., Cattani, C. and Gao, F. (2017), "On a fractal LC-electric circuit modeled by local fractional calculus", Commun. Nonlin. Sci. Numer. Simul., 47, 200-206. https://doi.org/10.1016/j.cnsns.2016.11.017.
- Youssef, H.M. (2007), "Theory of generalized porothermoelasticity", Int. J. Rock Mech. Min. Sci., 44, 222-227. https://doi.org/10.1016/j.ijrmms.2006.07.001.
- Zarga, D., Tounsi, A., Bousahla, A.A., Bourada, F. and Mahmoud, S.R. (2019), "Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory", Steel Compos. Struct., 32(3), 389-410. https://doi.org/10.12989/scs.2019.32.3.389.
- Zenkour, A.M., Abouelregal, A.E., Alnefaie, KA. and Abu-Hamdeh, N.H. (2017), "Seebeck effect on a magneto-thermoelastic long solid cylinder with temperature-dependent thermal conductivity", Eur. J. Pure Appl. Math., 10(4), 786-808.
- Zhao, Y., Baleanu, D., Cattani, C., Cheng, D.F. and Yang, X.J. (2013), "Maxwell's equations on Cantor sets: a local fractional approach", Adv. High Energy Phys., 2013, Article ID 686371, 6. https://doi.org/10.1155/2013/686371.