References
- Voigt W. Theoretische Studienuber die Elasticitatsverhaltnisse der Krystalle. Königliche Gesellschaft der Wissenschaften zu Göttingen; 1887. p. 34.
- Cosserat E, Cosserat F. Theory of deformable bodies. Paris: Hermann et Fils; 1909.
- Mindlin RD, Tiersten HF. Effects of couple stresses in linear elasticity. Arch Ration Mech Anal. 1962;11:415–448.10.1007/BF00253946
- Toupin RA. Elastic materials with couple stresses. Arch Ration Mech Anal. 1962;11:385–414.10.1007/BF00253945
- Green AE, Rivlin RS. Simple force and stress multiples. Arch Ration Mech Anal. 1964;16(5):325–353.
- Kröner E. On the physical reality of torque stresses in continuum mechanics. Int J Eng Sci. 1963;1:261–278.10.1016/0020-7225(63)90037-5
- Yang F, Chong ACM, Lam DCC, et al. Couple stress based strain gradient theory for elasticity. Int J Solids Struct. 2002;39:2731–2743.10.1016/S0020-7683(02)00152-X
- Şimşek M, Reddy JN. Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory. Int J Eng Sci. 2013;64:37–53.10.1016/j.ijengsci.2012.12.002
- Mohammad-Abadi M, Daneshmehr AR. Size dependent buckling analysis of microbeams based on modified couple stress theory with high order theories and general boundary conditions. Int J Eng Sci. 2014;74:1–14.10.1016/j.ijengsci.2013.08.010
- Darijani H, Shahdadi AH. A new shear deformation model with modified couple stress theory for microplates. Acta Mech. 2015;226:2773–2788.10.1007/s00707-015-1338-y
- Yaghoub TB, Fahimeh M, Hamed R. Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory. Compos Struct. 2015;120:65–78.
- Nowacki W. Dynamical problems of thermo diffusion in solids I. Bull Pol Acad Sci Technol. 1974;22:5564.
- Sherief HH, Hamza FA, Saleh HA. The theory of generalized thermoelastic diffusion. Int J Eng Sci. 2004;42:591–608.10.1016/j.ijengsci.2003.05.001
- Sherief HH, Saleh H. A half-space problem in the theory of generalized thermoelastic diffusion. Int J Solids Struct. 2005;42:4484–4493.10.1016/j.ijsolstr.2005.01.001
- Kumar R, Kansal T. Propagation of Lamb waves in transversely isotropic thermoelastic diffusive plate. Int J Solid Struct. 2008;45:5890–5913.10.1016/j.ijsolstr.2008.07.005
- Rayleigh L. On waves propagated along the plane surface of an elastic solid. Proc London Math Soc. 1885;s1–17:4–11.10.1112/plms.1885.s1-17.issue-1
- Lockett FJ. Effect of thermal properties of a solid on the velocity of Rayleigh waves. J Mech Phys Solids. 1958;7:71–75.10.1016/0022-5096(58)90040-1
- Chadwick P, Windle DW. Propagation of Rayleigh waves along isothermal and insulated boundaries. Proc R Soc London A. 1964;280:47–71.10.1098/rspa.1964.0130
- Marin M. On existence and uniqueness in thermoelasticity of micropolar bodies. Comptes Rendus Acad Sci Paris Ser II. 1995;321(12):475–480.
- Marin M. Some basic theorems in elastostatics of micropolar materials with voids. J Comp Appl Math. 1996;70(1):115–126.10.1016/0377-0427(95)00137-9
- Marin M, Marinescu C. Thermoelasticity of initially stressed bodies, asymptotic equipartition of energies. Int J Eng Sci. 1998;36(1):73–86.10.1016/S0020-7225(97)00019-0
- Marin M, Nicaise S. Existence and stability results for thermoelastic dipolar bodies with double porosity. Continuum Mech Thermodyn. 2016;28(6):1645–1657.10.1007/s00161-016-0503-4
- Kumar R, Kansal T. Effect of rotation on Rayleigh waves in an isotropic generalized thermoelastic diffusive half space. Arch Mech. 2008;60:421–443.
- Kumar R, Kansal T. Propagation of Rayleigh waves in transversely isotropic generalized thermoelastic diffusion. J Eng Phys Thermophys. 2009;82:1199–1210.10.1007/s10891-010-0296-4
- Sharma JN, Kaur D. Rayleigh waves in rotating thermoelastic solids with voids. Int J Appl Math Mech. 2010;6(3):43–61.
- Abd-Alla AM, Hammad HS, Abo-Dahab SM. Rayleigh waves in a magnetoelastic half-space of orthotropic material under influence of initial stress and gravity field. Appl Math Comput. 2004;154(2):583–597.10.1016/S0096-3003(03)00767-7
- Abd-Alla AM, Abo-Dahab SM, Hammad HAH. Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field. Appl Math Model. 2011;35:2981–3000.10.1016/j.apm.2010.11.067
- Abd-Alla AM, Abo-Dahab SM, Bayones FS. Rayleigh waves in generalized magneto-thermo-viscoelastic granular medium under the influence of rotation, gravity field, and initial stress. Math Prob Eng. 2011;2011:1–47.10.1155/2011/763429
- Abd-Alla AM, Abo-Dahab SM, Bayones FS. Propagation of Rayleigh waves in magneto-thermo-elastic half-space of a homogeneous orthotropic material under the effect of rotation, initial stress and gravity field. J Vibr Control. 2013;19(9):1395–1420.10.1177/1077546312444912
- Abd-Alla AM, Nofal TA, Abo-Dahab SM, et al. Surface waves propagation in fibre-reinforced anisotropic elastic media subjected to gravity field. Int J Phys Sci. 2013;8(14):574–584.
- Abd-Alla AM, Khan A, Abo-Dahab SM. Rotational effect on Rayleigh, Love and Stoneley waves in fibre-reinforced anisotropic general viscoelastic media of higher and fraction orders with voids. J Mech Sci Tech. 2015;29(10):4289–4297.
- Ahmed SM, Abo-Dahab SM. Influence of initial stress and gravity field on propagation of Rayleigh and Stoneley waves in a thermoelastic orthotropic granular medium. Math Prob Eng. 2012;2012:1–22.10.1155/2012/245965
- Allam MNM, Rida SZ, Mohamed RA, et al. On Rayleigh waves in a homogeneous orthotropic electromagnetic gravitational half-space material with rotation and initial stress under four thermo-elastic models. J Comput Theor Nanosci. 2014;11(3):573–582.10.1166/jctn.2014.3397
- Kumar R, Ahuja S, Garg SK. Rayleigh waves in isotropic microstretch thermoelastic diffusion solid half space. Lat Am J Solids Struct. 2014;11:299–319.10.1590/S1679-78252014000200009
- Kumar R, Gupta V. Rayleigh waves in generalized thermoelastic medium with mass diffusion. Can J Phys. 2015;93:1–11.
- Lord H, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solids. 1967;15(5):299–309.10.1016/0022-5096(67)90024-5
- Green AE, Lindsay KA. Thermoelasticity. J Elast. 1972;2(1):1–7.10.1007/BF00045689