Solution behavior of the transient heat transfer problem in thermoelectric shape memory alloy actuators
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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 J0 of |J| such that when |J| < J0, the temperature in SMA is always decreasing to its steady state, and when |J| > J0, 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 J0 is given. The physical implications of main results are also discussed.