Abstract
The main purpose of this paper is to study the solution behavior of the transient heat transfer problem for one-dimensional symmetric thermoelectric shape memory alloy (SMA) actuators. It is proved that for the transient cooling problem with constant electric current density of magnitude $|J|$ there is a value $J_0$ of $|J|$ such that when $|J| J_0$, the temperature in SMA may not be always decreasing, which is an important property of thermoelectric SMA actuators reported by Lagoudas and Ding [Internat. J. Engrg. Sci., 33 (1995), pp. 2345--2364]. A lower bound of $J_0$ is given. The physical implications of main results are also discussed.
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