On the propagation of thermoelastic waves in temperature rate-dependent materials

✍ Scribed by T. Sabri Öncü; T. Bryant Moodie

• Publisher: Springer Netherlands
• Year: 1992
• Tongue: English
• Weight: 617 KB
• Volume: 29
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041206

✦ Synopsis

The one-dimensional propagation of thermoelastic waves in isotropic homogeneous half spaces within the theory of Green and Lindsay [1] is studied. Padr-extended ray methods are employed to obtain the desired information. Comparisons between the predictions of the Green and Lindsay theory and the theory of Lord and Shulman [2] are made. Our ray series solutions show that for discontinuous thermal disturbances the displacement according to the Green and Lindsay theory is also discontinuous. This violates the fundamental continuum hypothesis that matter is impenetrable. For a simple numerical example we show also that a compressive behaviour in the displacement may be associated with a tensile behaviour in the stress and vice versa. This prediction of the Green and Lindsay theory is also unrealistic from the physical point of view.