References
- Abbas, I.A. and Youssef, H.M. (2009), "Finite element analysis of two-temperature generalized magnetothermoelasticity", Arch. Appl. Mech., 79, 917-925. https://doi.org/ 10.1007/s00419-008-0259-9.
- Abbas, I.A. and Zenkour, A.M. (2014), "Two-temperature generalized thermoelastic interaction in an infinite fiber-reinforced anisotropic plate containing a circular cavity with two relaxation times", J. Comput. Theor. Nanosci., 11 (1), 1-7. https://doi.org/10.1166/jctn.2014.3309.
- Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485
- Ansari, R., FaghihShojaei, M., Mohammadi, V., Gholami, R. and Darabi, M.A. (2014), "Size-dependent vibrations of post-buckled functionally graded Mindlin rectangular microplates", Latin Ame. J. Solids Struct., 11 ,2351-2378. https://doi.org/10.1590/S1679-78252014001300003
- Ansari, R., Ashrafi, M.A. and Hosseinzadeh, S. (2014), "Vibration characteristics of Piezoelectric microbeams based on the modified couple stress theory", Shock Vib., 2014(1), 1-12. http://dx.doi.org/10.1155/2014/598292.
- Arif, S.M., Biwi, M. and Jahangir, A. (2018), "Solution of algebraic lyapunov equation on positive-definite hermitian matrices by using extended Hamiltonian algorithm", Comput. Mater.Continua, 54, 181-195.
- Asghari M. (2012), "Geometrically nonlinear micro-plate formulation based on the modified couple stress theory", Int. J. Eng. Science, 51, 292-309. https://doi.org/10.1016/j.ijengsci.2011.08.013
- Atanasov, M.S., Karlicic, D., Kozic, P. and Janevski, G. (2017), "Thermal effect on free vibration and buckling of a double-microbeam system", Facta universitatis, Series: Mechanical Engineering, 15(1), 45-62. https://doi.org/10.22190/FUME161115007S.
- Boukhlif, Z., Bouremana, M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A. and Al-Osta, M.A. (2019), "A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation", Steel Compos. Struct., 31(5), 503-516. https://doi.org/10.12989/scs.2019.31.5.503.
- Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161.
- 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.
- Boutaleb, S., Benrahou, K.H., Bakora, A., Algarni, A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R. and Tounsi, A. (2019), "Dynamic Analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT", Adv. Nano Res., 7(3), 189-206.
- Chaabane, L.A., Bourada, F., Sekkal, M., Zerouati, S., Zaoui, F.Z., Tounsi, A., Derras, A., Bousahla, A.A. and Tounsi, A. (2019), "Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation", Struct. Eng. Mech., 71(2), 185-196. https://doi.org/10.12989/SEM.2019.71.2.185
- Chen, W. and Li, X. (2014), "A new modified couple stress theory for anisotropic elasticity and microscale laminated Kirchhoff plate model", Arch. Appl. Mech., 84(3), 323-341. https://doi.org/10.1007/s00419-013-0802-1.
- Chen, W., Li, L. and Xu, M. (2011), "A modified couple stress model for bending analysis of composite laminated beams with first order shear deformation", Compos. Struct., 93, 2723-2732. https://doi.org/10.1016/j.compstruct.2011.05.032
- Cosserat, E. and Cosserat, F. (1909), Theory of Deformable Bodies, Paris, France, Hermann et Fils.
- Ezzat, M. and AI-Bary, A. (2016), "Magneto-thermoelectric viscoelastic materials with memory dependent derivatives involving two temperature", Int. J. Appl. Electromagnetics Mech., 50(4), 549-567. https://doi.org/10.3233/JAE-150131
- Fang, Y., Li, P. and Wang, Z. (2013), "Thermoelasic damping in the axisymmetric vibration of circular microplate resonators with two dimensional heat conduction", J. Therm. Stresses, 36, 830-850. https://doi.org/10.1080/01495739.2013.788406
- Hadjesfandiari, A.R. and Dargush, G.F. (2011), "Couple stress theory for solids", Int. J. Solids Struct., 48(18), 2496-2510. https://doi.org/10.1016/j.ijsolstr.2011.05.002.
- Hassan, M., Marin M.,Ellahi, R. and Alamri, S.Z. (2018), "Exploration of convective heat transfer and flow characteristics synthesis by Cu-Ag/water hybrid-nanofluids", Heat Transfer Res., 49 (18), 1837-1848. https://doi.org/10.1615/heattransres.2018025569
- Honig, G. and Hirdes, U. (1984), "A method for the numerical inversion of the Laplace transform", J. Comput. Appl. Math., 10(1), 113-132. https://doi.org/10.1016/0377-0427(84)90075-X.
- Karami, B., Janghorban, M. and Tounsi, A. (2019), "Galerkin's approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions", Eng. Comput., 35, 1297-1316. https://doi.org/10.1007/s00366-018-0664-9
- Karami, B., Janghorban, M., Tounsi, A. (2019), "Wave propagation of functionally graded anisotropic nanoplates resting on Winkler-Pasternak foundation", Struct. Eng. Mech., 7(1), 55-66.
- Ke, L.L. and Wang, Y.S. (2011), "Size effect on dynamic stability of functionally graded micro beams based on a modified couple stress theory", Compos. Struct., 93, 342-350. https://doi.org/10.1016/j.compstruct.2010.09.008
- Khaniki, H.B. and Hashemi, S.H. (2017), "Free vibration analysis of nonuniform microbeams based on modified couple stress theory: An Analytical Solution", Int. J. Eng. T. B: Appl., 30(2), 311-320.
- Koiter, W.T. (1964), "Couple stresses in the theory of elasticity, I and II", Philos. T. Roy. Soc. London B, 67, 17-29.
- Kumar, R. and Devi, S. (2015), "Interaction due to Hall current and rotation in a modified couple stress elastic half-space due to ramp-type loading", Compos. Mater. Solid Struct., 21(4), 229-240. https://doi.org /10.12921/cmst.2015.21.04.007.
- Kumar, R. and Devi, S. (2016), "A problem of thick circular plate in modified couple stress theory of thermoelastic diffusion ", Cogent Mathematics, 3(1), 1-14. http://dx.doi.org/10.1080/23311835.2016.1217969.
- Kumar, R. and Devi, S. (2017), "Effects of Hall Current and rotation in modified couple stress generalized thermoelastic half space due to ramp-type heating", J. Solid Mech., 9(3), 527-54.
- Kumar, R., Sharma, N. and Lata, P. (2016), "Thermomechanical interactions due to inclined load in transversely isotropic magnatothermoelastic medium with and without energy dissipation with two temperatures and rotation", J. Solid Mech., 8(4), 840-858.
- Lata, P. (2018a), Reflection and refraction of plane waves in layered nonlocal elastic and anisotropic thermoelastic medium , Struct. Eng. Mech., 66(1), 113-124. https://doi.org/10.12989/SEM.2018.66.1.113
- Lata, P. (2018b), "Effect of energy dissipation on plane waves in sandwiched layered thermoelastic medium", Steel Compos. Struct., 27(4),439-451. https://doi.org/10.12989/scs.2018.27.4.439.
- Lata, P. and Kaur, I. (2019), "Transversely isotropic thick plate with two temperature and GN type-III in frequency domain", Coupled Syst. Mech., 8(1), 55-70. http://dx.doi.org/10.12989/csm.2019.8.1.055.
- Lata, P. and Kaur, I. (2019a), "Thermomechanical interactions in transversely isotropic thick circular plate with axisymmetric heat supply", Struct. Eng. Mech., 69(6), 607-614. https://doi.org/10.12989/sem.2019.69.6.607.
- Malikan, M. (2017), "Buckling Analysis of a Micro Composite Plate with Nano Coating Based on the Modified Couple Stress Theory", J. Appl. Comput. Mech., 4(1),1-15. https://doi.org/10.22055/JACM.2017.21820.1117.
- Marin M., Ellahi, R. and Chirila, A. (2017), "On solutions of Saint-Venant's problem for elastic dipolar bodies with voids", Carpathian J. Mathematics, 33(2), 219-232. https://doi.org/10.37193/CJM.2017.02.09
- Marin, M. and Craciun, E.M. (2017), "Uniqueness results for a boundary value problem in dipolar thermoelasticity to model composite materials", Compos. Part B: Eng., 126, 27-37. https://doi.org/10.1016/j.compositesb.2017.05.063
- Marin, M. and Nicaise, S. (2016), "Existence and stability results for thermoelastic dipolar bodies with double porosity", Continuum Mechanics and Thermodynamics, 28(6), 1645-1657. https://doi.org/10.1007/s00161-016-0503-4
- Marin, M., Baleanu, D. and Vlase, S. (2017), "Effect of microtemperatures for micropolar thermoelastic bodies", Struct. Eng. Mech., 61 (3), 381-387. https://doi.org/10.12989/sem.2017.61.3.381.
- Medani, M., Benahmed, A., Zidour, M., Heireche, H., Tounsi, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2019), "Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate", Steel Compos. Struct., 32(5), 595-610. https://doi.org/10.12989/scs.2019.32.5.595.
- Mehralian, F. and TadiBeni, Y. (2017), "Thermo-electromechanical buckling analysis of cylindrical nanoshell on the basis of modified couple stress theory", J. Mech. Sci. Technol., 31(4), 1773-1787. https://doi.org/10.1007/s12206-017-0325-8
- Othman, M.I.A. and Marin, M. (2017), "Effect of thermal loading due to laser pulse on thermoelastic porous medium under G-N theory", Results in Physics, 7, 3863-3872. https://doi.org/10.1016/j.rinp.2017.10.012.
- Othman, M.I.A., Atwa, S.Y., Jahangir, A. and Khan, A. (2015), "The effect of gravity on plane waves in a rotating thermo-microstretch elastic solid for a mode-I crack with energy dissipation", Mech. Adv. Mater. Struct., 22(11), 945-955. https://doi.org/10.1080/15376494.2014.884657.
- Press W. H., Teukolsky S.A., Vellerling W. T. and Flannery B.P. (1986), Numerical Recipe, Cambridge University Press.
- Rafiq, M., Singh, B., Arifa, S., Nazeer, M., Usman, M., Arif, S., Bibi, M. and Jahangir, A. (2019), "Harmonic waves solution in dual-phase-lag magneto-thermoelasticity", Open Physics, 17(1), 8-15. https://doi.org/10.1515/phys-2019-0002.
- Sharma, N., Kumar, R. and Lata, P. (2015), "Disturbance due to inclined load in transversely isotropic thermoelastic medium with two temperatures and without energy dissipation", Mater. Phys. Mech., 22, 107-117.
- Shaat, M., Mahmoud, F.F., Gao, X.L. and Faheem, A.F. (2014), "Size dependent bending analysis of Kirchhoff nano-plates based on a modified couple-stress theory including surface effects", Int. J. Mech. Sci., 79, 31-37. https://doi.org/10.1016/j.ijmecsci.2013.11.022
- Sherief, H.H. and Saleh H. (2005), "A half-space problem in the theory of generalized thermoelastic diffusion", Int. J. Solids Struct., 42, 4484-4493. https://doi.org/10.1016/j.ijsolstr.2005.01.001
- Simsek, M. and Reddy, J.N. (2013), "Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory", Int. J. Eng. Sci., 64, 37-53. https://doi.org/10.1016/j.ijengsci.2012.12.002
- Togun, N. and Bagdatli, S.M. (2017), "Investigation of the size effect in Euler-Bernoulli nanobeam using the modified couple stress theory", Celal Bayar University Journal of Science, 13(4), 893-899. https://doi.org/10.18466/cbayarfbe.370362.
- Youssef, H.M (2013), "Variational principle of two - temperature thermoelasticity without energy dissipation", J. Thermoelasticity, 1(1), 42-44.
- 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.
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