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Rossikhin, Yu. A.; Shitikova, M. V.

Nonstationary Rayleigh waves on the thermally-insulated surfaces of some thermoelastic bodies of revolution. (English) Zbl 1026.74040

Acta Mech. 150, No. 1-2, 87-105 (2001).
This investigation shows that during the propagation of nonstationary Rayleigh waves along stress-free thermally-insulated surfaces of thermoelastic bodies of revolution (cylinder, sphere torus and a cone) the change in amplitude of these waves, in the general case, is the product of three functions: a decaying exponential function, a power function, and a harmonic function. The occurrence of the decaying exponential function is associated with the coupling of strain and temperature fields.
Reviewer: E.Syrkin (Khar’kov)

Cited in 9 Documents

MSC:

74J15 Surface waves in solid mechanics
74F05 Thermal effects in solid mechanics

Keywords:

curvilinear coordinates; cylinder; nonstationary Rayleigh waves; thermally-insulated surfaces; sphere; torus; cone; amplitude; power function; harmonic function; decaying exponential function
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[1] Nayfeh, A., Nemat-Nasser, S.: Thermoelastic waves in solids with thermal relaxation. Acta Mech.12, 53-69 (1971). · Zbl 0241.73026 · doi:10.1007/BF01178389
[2] Sinha, A. N., Sinha, S. B.: Velocity of Rayleigh waves with thermal relaxation in time. Acta Mech.23, 159-166 (1975). · Zbl 0367.73039 · doi:10.1007/BF01177676
[3] Agarwal, V. K.: On surface waves in generalized thermoelasticity. J. Elasticity8, 171-177 (1978). · Zbl 0372.73017 · doi:10.1007/BF00052480
[4] Dawn, N. C., Chakraborty, S. K.: On Rayleigh waves in Green-Lindsay model of generalized thermoelastic media. Indian J. Pure Appl. Math.20, 276-283 (1988). · Zbl 0657.73005
[5] Chandrasekharaiah, S.: Thermoelastic Rayleigh waves without energy dissipation. Mech. Res. Comm24, 93-101 (1997). · Zbl 0896.73012 · doi:10.1016/S0093-6413(96)00083-3
[6] Petrashen, G. I.: Rayleigh problem for surface waves in sphere case (in Russian). Dokl. Akad. Nauk SSSR53, 763-766 (1946). · Zbl 0061.21906
[7] Viktorov, I. A.: Surface waves on cylindrical surface of crystals. Sov. Phys. Acoust.20, 199-206 (1974).
[8] Rossikhin, Yu. A.: Impact of a rigid sphere onto an elastic half-space. Sov. Appl. Mech.22, 403-409 (1986). · doi:10.1007/BF00888537
[9] Rossikhin, Yu. A.: Nonstationary surface waves of ?diverging circles? type on conic surfaces of hexagonal crystals. Acta Mech.92, 183-192 (1992). · Zbl 0850.73064 · doi:10.1007/BF01174175
[10] Sobolev, S. L.: Application of the plane wave theory to the Lamb problem (in Russian). Trans. Seismol. Inst. Akad. Nauk SSSR No. 18, 1-14 (1932).
[11] Thomas, T. Y.: Plastic flow and fracture in solids. New York: Academic Press 1961. · Zbl 0095.38902
[12] Achenbach, J. D.: The influence of heat conduction on propagating stress jumps. J. Mech. Phys. Solids16, 273-282 (1968). · doi:10.1016/0022-5096(68)90035-5
[13] Hetnarski, R. B., Rossikhin, Yu. A., Shitikova, M. V.: A nonstationary Rayleigh wave of the ?diverging circle? type on the surface of a thermoelastic heat-insulated cone. In: Applied Mechanics in the Americas, vol. V (Rysz, M., Godoy, L. A., Su?rez, L. E., eds.), pp. 170-173 (5th Pan American Congress on Applied Mechanics, Puerto-Rico, 1997) Iowa: Univ. of Iowa 1997.
[14] Rossikhin, Yu. A., Shitikova, M. V.: A nonstationary Rayleigh wave on the surface of a thermoelastic heat-insulated torus. In: Proc. 2nd International Symposium on Thermal Stresses and Related Topics (Hetnarski, R. B., Noda, N., eds.), pp 71-74. Rochester, USA, 1997.
[15] Rossikhin, Yu. A., Shitikova, M. V.: A nonstationary Rayleigh wave of the ?diverging circle? type on the surface of a thermoelastic heat-insulated sphere. In: Structural dynamics: recent advances, vol. I (Ferguson, N. S., Wolfe, H. F., Mei, C., eds.), pp 113-127. (6th International Conference on Recent Advances in Structural Dynamics, Southampton, UK, 1997) Southampton: Inst. of Sound and Vibration Research 1997.
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