Coupled thermomechanical waves in hyperbolic thermoelasticity
Article
Article Title | Coupled thermomechanical waves in hyperbolic thermoelasticity |
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ERA Journal ID | 3788 |
Article Category | Article |
Authors | Strunin, D. V. (Author), Melnik, R. V. N. (Author) and Roberts, A. J. (Author) |
Journal Title | Journal of Thermal Stresses |
Journal Citation | 24 (2), pp. 121-140 |
Number of Pages | 20 |
Year | 2001 |
Place of Publication | Philadelphia, PA. United States |
ISSN | 0149-5739 |
1521-074X | |
Digital Object Identifier (DOI) | https://doi.org/10.1080/01495730150500433 |
Web Address (URL) | http://pdfserve.informaworld.com/925998_751304989_713855301.pdf |
Abstract | Using models incorporating a thermal relaxation time (hyperbolic models), we study the properties of spatially periodic thermoelastic waves propagating in an infinite rod. Analyzing the Lord-Schulman and Green-Lindsay linear models, we reveal dependencies of decay rates and frequency shifts of temperature and displacement upon the wave number for the case of weak thermoelastic coupling. We explore numerically a general nonlinear hyperbolic model, describing the time evolution of initially sinusoidal distributions of displacement and temperature. Mechanisms of nonlinear interaction between thermal and mechanical fields are qualitatively analyzed. It is demonstrated that larger relaxation times may provide smoother temperature profiles at an intermediate stage of the dynamics. |
Keywords | coupled thermomechanical fields; hyperbolic thermoelasticity; thermal relaxation time |
ANZSRC Field of Research 2020 | 510304. Thermodynamics and statistical physics |
490410. Partial differential equations | |
401205. Experimental methods in fluid flow, heat and mass transfer | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Department of Mathematics and Computing |
Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia |
https://research.usq.edu.au/item/9y53y/coupled-thermomechanical-waves-in-hyperbolic-thermoelasticity
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