Generalized Framework for Modeling of SMAs

The purpose of this appendix is to extend the thermodynamic framework presented in Chapter 3 by formally including the principle of maximum transformation dissipation. A generalized phase transformation function, motivated by experimental results is also discussed, extending the transformation functions introduced in Chapters 3 and 4. The maximum dissipation principle imposes constraints on the form of internal state variable evolution equations and establishes the shape of the transformation function in generalized thermodynamic force space. A Green-Lagrange strain measure is employed in modeling to account for large deformations. The work in this appendix follows the work of Qidwai and Lagoudas.