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Warianty tytułu
Języki publikacji
Abstrakty
Propagation of time harmonic plane waves in an infinite thermo-viscoelastic material with voids has been investigated within the context of different theories of thermoelasticity. The equations of motion developed by Iesan [1] have been extended to incorporate the Lord-Shulman theory (LST) and Green-Lindsay theory (GLT) of thermoelasticity. It has been shown that there exist three coupled dilatational waves and an uncoupled shear wave propagating with distinct speeds. The presence of thermal, viscosity and voids parameters is responsible for the coupling among dilatational waves. All the existing waves are found to be dispersive and attenuated in nature. The phase speeds and attenuation coefficients of propagating waves are computed numerically for a copper material and compared under different theories of thermo-elasticity. The expressions of energies carried along each wave have also been derived. All the computed numerical results have been depicted through graphs. It is found that the influence of CT and GLT is almost same on wave propagation, while LST influences the wave propagation differently.
Rocznik
Tom
Strony
691--708
Opis fizyczny
Bibliogr. 42 poz., tab., wykr.
Twórcy
autor
- Department of Mathematics, Panjab University Chandigarh - 160 014, INDIA
autor
- Department of Mathematics, Panjab University Chandigarh - 160 014, INDIA
autor
Bibliografia
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- [19] Marin M. (1998): Contributions on the uniqueness in thermoelasto-dynamics on bodies with voids. Cienc. Math. (Havana), vol.16, No.2, pp.101-109.
- [20] Birsan M. (2000): Existence and uniqueness of weak solutions in the linear theory of elastic shells with voids. Libertas Mathematica, vol.20, pp.95-105.
- [21] Chirita S. and Scalia A. (2001): On the spatial and temporal behaviour in linear thermoelasticity of materials with voids. J. Therm. Stresses, vol.24, No.5, pp.433-455.
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- [28] Svanadze M.M. (2014): Potential method in the linear theory of viscoelastic materials with voids. J. Elasticity, vol.114, pp.101-126.
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- [39] Santra S., Lahiri A. and Das N.C. (2016): Reflection and refraction of generalized visco-thermoelastic waves at an interface between two half spaces. Comput. Appl. Math. J., vol.2, No.1, pp.12-22.
- [40] Achenbach J.D. (1973): Wave Propagation in Elastic Solids. North Holland.
- [41] Borchardt R.D. (2009): Viscoelastic Waves in Layered Media. UK: Cambridge University Press.
- [42] Mukhopadhyay S. (2000): Effect of thermal relaxation on thermo-viscoelastic interactions in an unbounded body with spherical cavity subjected to periodic loading on the boundary. J. Therm. Stresses, vol.23, pp.675-684.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-43378169-145e-465e-8b24-38b84cccd284