10 The Effect of Preheating on the Thermoelastic …
149
a)
b)
c)
d)
Fig. 10.3 Influence of the initial deformation on the phase velocity: a compression in the direction
of x 1 ; b stretching in the direction of x 1 ; c compression in the direction of x 2 ; d stretching in the
direction of x 2
Figures 10.3 shows the effect of preheating on the phase velocities difference depending on the initial deformations of the thermoelastic layered half-space.
Compression in the direction of the x 1 axis reduces the maximum difference in phase
velocities. Stretching also affects the opposite direction, and moreover, the difference
values even at high frequencies become nonzero. Stretching in the x 2 direction acts
opposite and reduces the effect of preheating on phase velocities.
Acknowledgements The reported study was performed as part of the implementation of the
state assignment of the Southern Scientific Center of the Russian Academy of Sciences, project
01201354242 and with partial financial support from the Russian Foundation for Basic Research,
grants № 19-01-00719, 19-08-01051.
References
Achenbach, J. D. (2003). Laser excitation of surface wave motion. Journal of the Mechanics and
Physics of Solids, 51, 1885–1902. https://doi.org/10.1016/j.jmps.2003.09.021
Al-Qahtani, H., & Datta, S. K. (2004). Thermoelastic waves in an anisotropic infinite plate. Journal
of Applied Physics, 96, 3645–3657. https://doi.org/10.1063/1.1776323
Alibert, J. J., Seppecher, P., & Dell’Isola, F. (2003). Truss modular beams with deformation energy
depending on higher displacement gradients. Mathematics and Mechanics of Solids, 8(1), 51–73.
149
a)
b)
c)
d)
Fig. 10.3 Influence of the initial deformation on the phase velocity: a compression in the direction
of x 1 ; b stretching in the direction of x 1 ; c compression in the direction of x 2 ; d stretching in the
direction of x 2
Figures 10.3 shows the effect of preheating on the phase velocities difference depending on the initial deformations of the thermoelastic layered half-space.
Compression in the direction of the x 1 axis reduces the maximum difference in phase
velocities. Stretching also affects the opposite direction, and moreover, the difference
values even at high frequencies become nonzero. Stretching in the x 2 direction acts
opposite and reduces the effect of preheating on phase velocities.
Acknowledgements The reported study was performed as part of the implementation of the
state assignment of the Southern Scientific Center of the Russian Academy of Sciences, project
01201354242 and with partial financial support from the Russian Foundation for Basic Research,
grants № 19-01-00719, 19-08-01051.
References
Achenbach, J. D. (2003). Laser excitation of surface wave motion. Journal of the Mechanics and
Physics of Solids, 51, 1885–1902. https://doi.org/10.1016/j.jmps.2003.09.021
Al-Qahtani, H., & Datta, S. K. (2004). Thermoelastic waves in an anisotropic infinite plate. Journal
of Applied Physics, 96, 3645–3657. https://doi.org/10.1063/1.1776323
Alibert, J. J., Seppecher, P., & Dell’Isola, F. (2003). Truss modular beams with deformation energy
depending on higher displacement gradients. Mathematics and Mechanics of Solids, 8(1), 51–73.