Coupled radially symmetric linear thermoelasticity

✍ Scribed by G.A. Harmain; J.L. Wegner; J. Su; J.B. Haddow

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 877 KB
• Volume: 25
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(96)00049-2

✦ Synopsis

In this study we consider linear thermoelastic wave propagation with second sound. We consider two theories,; a theory based on the Maxwell-Cataneo relation and a linearized theory based on a simplified form of a generalization of classical thermoelasticity. We consider cylindrically and spherically symmetric longitudinal waves, and for both problems we obtain expressions for the initial discontinuities, and also the time rate of decay of propagating discontinuities. Numerical solutions are obtained from the application of the method of characteristics, and further, a technique is proposed which allows numerical solutions. valid for times large compared with the relaxation time, to be efficiently generated.