The present paper deals with the propagation of surface waves (Stoneley and Rayleigh waves) in thermoelastic materials with voids. The frequency equations of the Stoneley waves at the bonded and unbonded interfaces between two dissimilar half-spaces of thermoelastic materials with voids are obtained. The numerical values of the determinant for bonded and unbonded interface are calculated for a particular model. We also derived the frequency equation of the Rayleigh wave in thermoelastic materials with voids. The phase velocity and attenuation coefficients have shown that there are two modes of vibration. These two modes are computed and they are depicted graphically. The effect of thermal parameters in these surface waves is discussed.
Abd-AllaAM (1999) Propagation of Rayleigh waves in an elastic half-space of orthotropic material. Applied Mathematics and Computation99(1): 61–69.
2.
Abo-DahabSM (2014) Green Lindsay model on propagation of surface waves in magneto-thermoelastic materials with voids and initial stress. Journal of Computational and Theoretical Nanoscience11(3): 763–771.
3.
Abo-DahabSM (2015) Propagation of Stoneley waves in magneto-thermoplastic materials with voids and two relaxation times. Journal of Vibration and Control21(6): 1144–1153.
4.
AbouelregalAE (2011) Rayleigh waves in a thermoelastic solid half-space using dual-phase-lag model. International Journal of Engineering Science49(8): 781–791.
5.
AchenbachJD (1976) Wave Propagation in Elastic Solids, New York: North-Holland Publishing Company.
6.
BarnettDMLotheJGavazzaSDet al.(1985) Considerations of the existence of interfacial (Stoneley) waves in bonded anisotropic elastic half-spaces. Proceedings of Royal Society of London A402(1822): 153–166.
7.
BucurAVPassarellaFTibulloV (2014) Rayleigh surface waves in the theory of thermoelastic materials with voids. Meccanica49(9): 2069–2078.
8.
ChadwickPCurriePK (1974) Stoneley waves at an interface between elastic crystals. Quarterly Journal of Mechanics and Applied Mathematics27(4): 497–503.
9.
ChandrasekharaiahDS (1986) Surface waves in an elastic half-space with voids. Acta Mechanica62(1–4): 77–85.
10.
ChandrasekharaiahDS (1987) Effects of surface stresses and voids on Rayleigh waves in an elastic solid. International Journal of Engineering Science25(2): 205–211.
11.
ChangS-J (1971) Diffraction of plane dilatational waves by finite a crack. Quarterly Journal of Mechanics and Applied Mathematics24(4): 423–443.
12.
CowinSCNunziatoJW (1983) Linear elastic materials with voids. Journal of Elasticity13(2): 125–147.
13.
CurriePK (1974) Rayleigh waves on elastic crystals. Quarterly Journal of Mechanics and Applied Mathematics27(4): 489–496.
14.
DhaliwalRSSinghA (1980) Dynamic Coupled Thermoelasticity, New Delhi: Hindustan.
15.
FarhanAMAbd-AllaAM (2018) Effect of rotation on the surface wave propagation in magneto-thermoelastic materials with voids. Journal of Ocean Engineering and Science3(4): 334–342.
16.
GoodmanMACowinSC (1972) A continuum theory for granular materials. Archive for Rational Mechanics and Analysis44(4): 249–266.
17.
GoyalSSinghDTomarSK (2016) Rayleigh-type surface waves in a swelling porous half-space. Transport in Porous Media113(1): 91–109.
18.
GreenAERivlinRS (1964) On Cauchy's equation of motion. Zeitschrift für angewandte Mathematik und Physik ZAMP15(3): 290–294. .
19.
HarinathKS (1974) Waves generated at the interface between an elastic and a thermoelastic solid. Defence Science Journal24(2): 67–70.
20.
IesanD (1986) A theory of thermoelastic materials with voids. Acta Mechanica60(1–2): 67–89.
21.
KumarRKumarR (2010) Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space. Applied Mathematics and Mechanics31(9): 1153–1172.
22.
KumarRKumarR (2011) Analysis of wave motion at the boundary surface of orthotropic thermoelastic material with voids and isotropic elastic half-space. Journal of Engineering Physics and Thermophysics84(2): 463–478.
23.
KumarRDeviSAbo-DahabSM (2018) Stoneley waves at the boundary surface of modified couple stress generalized thermoelastic with mass diffusion. Journal of Applied Science and Engineering21(1): 1–8.
24.
KumarRKumarKNautiyalRC (2013) Propagation of Stoneley waves in couple stress generalized thermoelastic medium. Global Journal of Science Frontier Research Mathematics and Decision Sciences13(5): 1–13.
25.
MarkovMG (2009) Low-frequency Stoneley wave propagation at the interface of two porous half-spaces. Geophysical Journal International177(2): 603–608.
26.
MondalAKAcharyaDP (2006) Surface waves in a micropolar elastic solid containing voids. Acta Geophysica54(4): 430–452.
27.
MurtyGS (1975a) Wave propagation at unbonded interface between two elastic half-spaces. Journal of the Acoustical Society of America58(5): 1094–1095.
28.
MurtyGS (1975b) A theoretical model for the attenuation and dispersion of Stoneley waves at the loosely bonded interface of elastic half-spaces. Physics of the Earth and Planetary Interiors11(1): 65–79.
29.
NunziatoJWCowinSC (1979) A nonlinear theory of elastic material with voids. Archive for Rational Mechanics and Analysis72(2): 175–201.
30.
OnenOUzYC (2015) Investigation of Scholte and Stoneley waves in multi-layered systems. Physics Procedia70: 217–221.
31.
OthmanMIAHilalMIM (2016) Propagation of plane waves of magneto-thermoelastic medium with voids influenced by the gravity and laser pulse under G-N theory. Multidiscipline Modeling in Materials and Structures12(2): 326–344.
32.
RayleighL (1885) On waves propagated along the plane surface of an elastic solid. Proceedings of the London Mathematical Society17(1): 4–11.
33.
SinghBPalR (2011) Surface wave propagation in a generalized thermoelastic material with voids. Applied Mathematics2(5): 521–526.
34.
SinghJTomarSK (2007) Plane waves in thermo-elastic material with voids. Mechanics of Materials39(10): 932–940.
35.
SinghSS (2011) Reflection and transmission of couple longitudinal waves at a plane interface between two dissimilar half-spaces of thermo-elastic materials with voids. Applied Mathematics and Computation218(7): 3359–3371.
36.
SinghSS (2013) Transverse wave at a plane interface in thermo-elastic materials with voids. Meccanica48(3): 617–630.
37.
StoneleyR (1924) Elastic waves at the surface of separation of two solids. Proceedings of Royal Society of London A106(738): 416–428.
38.
TajuddinM (1984) Rayleigh waves in a poroelastic half-space. Journal of the Acoustical Society of America75(3): 682–684.
39.
TomarSKSinghD (2006) Propagation of Stoneley waves at an interface between two microstretch elastic half-spaces. Journal of Vibration and Control12(9): 995–1009.
