A new look at shape memory alloy constitutive models - Comparisons and micromechanics
- Northwestern Univ., Evanston, IL (United States)
In this work several existing one-dimensional constitutive models for shape memory alloy (SMA) materials will be briefly examined and compared in the context of distinguishing their critical characteristics. In particular, the micromechanics basis of the Tanaka and Ivshin-Pence models will be presented and implications discussed. A new derivation of the Tanaka model, originally derived from thermodynamic arguments, will be presented based on a simple Voigt micromechanics model for the elastic components of the martensite and austenite phases. It will be shown that the Tanaka and Ivshin-Pence constitutive models are in fact quite similar. Each model is composed of a mechanical stress-strain law and a kinetic law, and it will be shown that the details of the mechanical stress-strain relation are unimportant and that the important distinction between these and likely other SMA models is primarily in the formulation of the transformation kinetics. The cause of these results is a natural and common (to these and other constitutive models) separation of the total strain into the sum of elastic and transformation components. Then since the transformation strain overwhelms the material response, the finer details of the mechanical portion of the constitutive law are lost. Several examples will be presented utilizing these two models and other similar models and implications on backing out the micromechanical behavior will be discussed.
- OSTI ID:
- 175114
- Report Number(s):
- CONF-950686--
- Country of Publication:
- United States
- Language:
- English
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