Abstract
The present work proposes a phenomenological level-set model for shape memory alloys within the framework of internal variable theory and continuum thermomechanics. While the majority of constitutive models for shape memory alloys assume the martensitic volume fraction as an internal variable, in this study a level-set function is chosen to be the internal variable. Such a choice allows to account, on average, for the microstructural changes within the material by representing in an implicit manner the interfaces between different phases. Utilizing consistent thermodynamical arguments within the framework of canonical thermomechanics, the evolution equation for the level-set function is derived. Then, the model is implemented in a one dimensional case, where simple evolution equations are proposed reproducing certain characteristics of shape memory alloys, such as the pseudoelastic effect, the strain-temperature hysteresis, the one-way shape memory effect and hardening effects. Also, application of the model on functional fatigue phenomenon is thoroughly inspected. This new constitutive level-set model provides extreme flexibility and seems to be very promising for future research.
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