Transient response of multilayered hollow cylinder using various theories of generalized thermoelasticity

Abstract

The present paper deals with thermoelastic problems of finitely long hollow cylinder composed of two different materials with axial symmetry. The medium is traction-free, with negligible body forces and with internal and external heat generations. The governing equations for different theories of the generalized thermoelasticity are written in terms of displacement and temperature increment. The exact solution of the problem, using different theories of generalized thermoelasticity, has been deduced. The analytical expressions for displacements, temperature and stresses are found in final forms, and a numerical example has been taken to discuss the effect of the relaxation times. Finally, the results have been illustrated graphically to find the responses of different theories.

İki̇ Katmanli Dolu Bi̇r Si̇li̇ndi̇ri̇n Elasti̇k Davranişinin Farkli Uç Ve Sinir Koşullari İçi̇n Anali̇ti̇k Olarak İncelenmesi̇

“…The application of a similar procedure to the solution of loading and unloading problem of periodic heat generating cylinder can be found in Eraslan and Apatay (2017). On the other hand, transient response of an infinitely long annular cylinder composed of two different materials was studied by Yu-Ching and Cha'o-Kuang (1986), Jane and Lee (1999), Lee et al (2001), Wang et al (2004), Lee (2006), and Mashat et al (2010).…”