Wave propagation in thermoelastic solids at very low temperature

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Department of Mechanical Engineering-Engineering Mechanics


The one-dimensional problem of an elastic half-space subjected to thermal and mechanical disturbances at its free surface is considered, using a generalized theory of the thermoelasticity which takes into account a finite velocity of propagation of thermal disturbances. An approximation of the general solution is obtained in closed form valid at temperatures near absolute zero, resulting in expresssions for temperature and strain response due to arbitrary inputs at the free boundary. These general expressions are applied to the particular problem of a step-strain input at the boundary and the results compared with previous work. The problem of a half-sine temperature pulse input is also treated.

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© 1970 Springer-Verlag. Publisher’s version of record: https://doi.org/10.1007/BF01176658

Publication Title

Acta Mechanica