Abstract
When DUHAMEL /1/, in 1835, had laid down the foundations of thermo-elasticity, he had derived already the coupled heat conduction equation as well as the corresponding equations of motion. With respect to thermally induced waves and vibrations, however, he asserted the following: “I1 est donc permis, surtout à cause de la lenteur avec laquelle s’opère toujours le refroidissement, de négliger complètement ces petits mouvemens des molécules autour de leur position d’équilibre et de considérer l’équilibre comme ayant rigoureusement lieu à chaque instant, et variant avec la propagation intérieure de la chaleur...” and, moreover, he remarked “...que ces mouvemens vibratoires produiraient en chaque point des dilatations et condensations alternatives, dont les effets tendraient à se compenser”. Thus the time rate of change of temperature has been considered slow enough so that inertia effects could be disregarded in the equations of thermo-elasticity.
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References
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© 1974 Springer-Verlag Wien
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Bargmann, H. (1974). Dynamic Thermal Shock Resistance. In: Zeman, J.L., Ziegler, F. (eds) Topics in Applied Continuum Mechanics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4188-5_9
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DOI: https://doi.org/10.1007/978-3-7091-4188-5_9
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