On propagation of Rayleigh type surface wave in five different theories of thermoelasticity

• Autorzy: Singh B. , Verma S.

Identyfikatory

DOI

10.2478/ijame-2019-0041

• Języki publikacji: EN

Abstrakty

EN

The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a halfspace are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.

Słowa kluczowe

EN

generalized thermoelasticity; surface waves; Rayleigh wave; frequency equation

PL

termoelastyczność; fala powierzchniowa; fala Rayleigha; równanie częstotliwości

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2019
• Tom: Vol. 24, no. 3
• Strony: 661--673
• Opis fizyczny: Bibliogr. 34 poz., wykr.

Twórcy

autor

Singh B.

• Department of Mathematics, Post Graduate Government College, Sector-11 Chandigarh - 160 011, India

autor

Verma S.

• Hephzibah High School, 4558 Brothersville Road Hephzibah, GA 30815, INDIA

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)