A variety of relaxation phenomena such as the stabilization of martens
ite, rubber-like behavior, evolving hysteresis loops and stabilization
of interfaces have been observed in various shape-memory alloys. Thes
e effects adversely impact technological applications. Despite a great
deal of experimental evidence, there is no consensus on the mechanism
. However, there is universal agreement on certain fundamental aspects
of these phenomena. Based on these areas of agreement, we propose a p
henomenological, but predictive, model in this paper. This model is ba
sed on the framework of thermoelasticity augmented with an internal va
riable. In this part, we discuss the basic mechanical model and show t
hat it reproduces the experimental observations remarkably well. In Pa
rt II of this paper, we extend this model to include thermal effects a
nd use these models to propose new experiments in order to clarify lon
gstanding issues. (C) 1997 Acta Metallurgica Inc.