10 The Effect of Preheating on the Thermoelastic …
151
Kumar, R., & Gupta, V. (2013). Reflection and transmission of plane waves at the interface of an
elastic half-space and a fractional order thermoelastic half-space. Archive of Applied Mechanics,
83, 1109–1128. https://doi.org/10.1007/s00419-013-0737-6
Kumar, R., & Kansal, T. (2008). Propagation of Lamb waves in transversely isotropic thermoelastic
diffusive plate. International Journal of Solids and Structures, 45, 5890–5913. https://doi.org/10.
1016/S0020768308002710
Levi, G. Yu., & Belyankova, T. I. (2019). Some properties of the transversely isotropic thermoelastic layer under initial stress. Applied Mechanics and Systems Dynamics. Journal of Physics:
Conference Series 1210. doi:10.1088/1742-6596/1210/1/012080.
Levi, GYu., & Igumnov, L. A. (2015). Some properties of the thermoelastic prestressed medium
Green function. Materials Physics and Mechanics, 23, 42–46.
Levi, M. O., Levi, GYu., & Lyzhov, V. A. (2017). Some features of the dynamics of ferroelectric
(ferromagnetic) heterostructures. Journal of Applied Mechanics and Technical Physics, 58, 47–53.
Lurie, A. I. (1980). Nelinejnaja teorija uprugosti [Nonlinear Theory of Elasticity]. Moscow: Nauka
Publishers, 512 p (In Russian).
Madeo, A., Della Corte, A., Greco, L., & Neff, P. (2014). Wave Propagation in Pantographic 2D
Lattices with Internal Discontinuities. arXiv preprint arXiv:1412.3926.
Muratikov, K. L. (1998). On the theory of oscillations generation by laser radiation in solids with
internal stresses by the thermoelastic method. Pisma v zhurnal tekhnicheskoi fiziki, 24, 82–88.
((In Russian)).
Placidi, L., Dell’Isola, F., Ianiro, N., & Sciarra, G. (2008). Variational formulation of prestressed solid-fluid mixture theory, with an application to wave phenomena. European Journal
of Mechanics-A/Solids, 27(4), 582–606.
Sharma, J. N. (2001). Three-dimensional vibration analysis of a homogeneous transversely isotropic
thermoelastic cylindrical panel. The Journal of the Acoustical Society of America, 110, 254–259.
https://doi.org/10.1121/1.1378350
Sharma, J. N., Pal, M., & Chand, D. (2005). Propagation characteristics of Rayleigh waves in
transversely isotropic piezothermoelastic materials. Journal of Sound and Vibration, 284, 227–
248. https://doi.org/10.1016/j.jsv.2004.06.036
Sharma, J. N., & Sidhu, R. S. (1986). On the propagation of plane harmonic waves in anisotropic
generalized thermoelasticity. International Journal of Engineering Science, 24, 1511–1516.
https://doi.org/10.1016/0020-7225(86)90160-6
Sheydakov, D. N., Belyankova, T. I., Sheydakov, N. E., & Kalinchuk, V. V. (2008). Dynamics
equations for prestressed thermo-elastic medium. Vestnik Yuzhnogo Nauchnogo Tsentra, 4, 3–8.
((In Russian)).
Singh, B. (2010). Wave propagation in an initially stressed transversely isotropic thermoelastic
solid half-space. Applied Mathematics and Computation, 217, 705–715. https://doi.org/10.1016/
j.amc.2010.06.008
Singh, H., & Sharma, J. N. (1985). Generalised thermoelastic waves in transversely isotropic media.
The Journal of the Acoustical Society of America, 77, 1046–1053. https://doi.org/10.1121/1.
392391
Spagnuolo, M., & Andreaus, U. (2019). A targeted review on large deformations of planar elastic
beams: Extensibility, distributed loads, buckling and post-buckling. Mathematics and Mechanics
of Solids, 24(1), 258–280.
Chirita, S. (2013). On the Rayleigh surface waves on an anisotropic homogeneous thermoelastic
half space. Acta Mechanica, 224, 657–674. https://doi.org/10.1007/s00707-012-0776-z
Verma, K. L. (2002). On the propagation of waves in layered anisotropic media in generalized
thermoelasticity. International Journal of Engineering Science, 40, 2077–2096. https://doi.org/
10.1016/S0020-7225(02)00030-7
Xu, B. Q., Feng, J., & Xu, G. D. (2008). Laser-generated thermoelastic acoustic sources and Lamb
waves in anisotropic plates. Applied Physics and-Materials Science & Processing, 91, 173–179.
https://doi.org/10.1007/s11431-009-0065-9
151
Kumar, R., & Gupta, V. (2013). Reflection and transmission of plane waves at the interface of an
elastic half-space and a fractional order thermoelastic half-space. Archive of Applied Mechanics,
83, 1109–1128. https://doi.org/10.1007/s00419-013-0737-6
Kumar, R., & Kansal, T. (2008). Propagation of Lamb waves in transversely isotropic thermoelastic
diffusive plate. International Journal of Solids and Structures, 45, 5890–5913. https://doi.org/10.
1016/S0020768308002710
Levi, G. Yu., & Belyankova, T. I. (2019). Some properties of the transversely isotropic thermoelastic layer under initial stress. Applied Mechanics and Systems Dynamics. Journal of Physics:
Conference Series 1210. doi:10.1088/1742-6596/1210/1/012080.
Levi, GYu., & Igumnov, L. A. (2015). Some properties of the thermoelastic prestressed medium
Green function. Materials Physics and Mechanics, 23, 42–46.
Levi, M. O., Levi, GYu., & Lyzhov, V. A. (2017). Some features of the dynamics of ferroelectric
(ferromagnetic) heterostructures. Journal of Applied Mechanics and Technical Physics, 58, 47–53.
Lurie, A. I. (1980). Nelinejnaja teorija uprugosti [Nonlinear Theory of Elasticity]. Moscow: Nauka
Publishers, 512 p (In Russian).
Madeo, A., Della Corte, A., Greco, L., & Neff, P. (2014). Wave Propagation in Pantographic 2D
Lattices with Internal Discontinuities. arXiv preprint arXiv:1412.3926.
Muratikov, K. L. (1998). On the theory of oscillations generation by laser radiation in solids with
internal stresses by the thermoelastic method. Pisma v zhurnal tekhnicheskoi fiziki, 24, 82–88.
((In Russian)).
Placidi, L., Dell’Isola, F., Ianiro, N., & Sciarra, G. (2008). Variational formulation of prestressed solid-fluid mixture theory, with an application to wave phenomena. European Journal
of Mechanics-A/Solids, 27(4), 582–606.
Sharma, J. N. (2001). Three-dimensional vibration analysis of a homogeneous transversely isotropic
thermoelastic cylindrical panel. The Journal of the Acoustical Society of America, 110, 254–259.
https://doi.org/10.1121/1.1378350
Sharma, J. N., Pal, M., & Chand, D. (2005). Propagation characteristics of Rayleigh waves in
transversely isotropic piezothermoelastic materials. Journal of Sound and Vibration, 284, 227–
248. https://doi.org/10.1016/j.jsv.2004.06.036
Sharma, J. N., & Sidhu, R. S. (1986). On the propagation of plane harmonic waves in anisotropic
generalized thermoelasticity. International Journal of Engineering Science, 24, 1511–1516.
https://doi.org/10.1016/0020-7225(86)90160-6
Sheydakov, D. N., Belyankova, T. I., Sheydakov, N. E., & Kalinchuk, V. V. (2008). Dynamics
equations for prestressed thermo-elastic medium. Vestnik Yuzhnogo Nauchnogo Tsentra, 4, 3–8.
((In Russian)).
Singh, B. (2010). Wave propagation in an initially stressed transversely isotropic thermoelastic
solid half-space. Applied Mathematics and Computation, 217, 705–715. https://doi.org/10.1016/
j.amc.2010.06.008
Singh, H., & Sharma, J. N. (1985). Generalised thermoelastic waves in transversely isotropic media.
The Journal of the Acoustical Society of America, 77, 1046–1053. https://doi.org/10.1121/1.
392391
Spagnuolo, M., & Andreaus, U. (2019). A targeted review on large deformations of planar elastic
beams: Extensibility, distributed loads, buckling and post-buckling. Mathematics and Mechanics
of Solids, 24(1), 258–280.
Chirita, S. (2013). On the Rayleigh surface waves on an anisotropic homogeneous thermoelastic
half space. Acta Mechanica, 224, 657–674. https://doi.org/10.1007/s00707-012-0776-z
Verma, K. L. (2002). On the propagation of waves in layered anisotropic media in generalized
thermoelasticity. International Journal of Engineering Science, 40, 2077–2096. https://doi.org/
10.1016/S0020-7225(02)00030-7
Xu, B. Q., Feng, J., & Xu, G. D. (2008). Laser-generated thermoelastic acoustic sources and Lamb
waves in anisotropic plates. Applied Physics and-Materials Science & Processing, 91, 173–179.
https://doi.org/10.1007/s11431-009-0065-9