A UNIFIED THERMODYNAMIC CONSTITUTIVE MODEL FOR SMA AND FINITE ELEMENT ANALYSIS OF ACTIVE METAL MATRIX COMPOSITES

SUMMARY A unified thermodynamic constitutive model for Shape Memory Alloy (SMA) materials, based on the thermodynamic framework proposed by Boyd and Lagoudas,1is presented in this paper. The specific selections for the form of Gibbs free energy associated with the martensitic volume fraction are identified for several earlier constitutive models for SMA. The thermal energy released or absorbed during the forward or reverse transformation predicted by the different models is compared with the experimental data from calorimetric measurements. The unified constitutive model is then implemented in a finite element analysis scheme using a return mapping integration technique for the incremental formulation of the model. Finally, the constitutive model is utilized to analyse the thermomechanical response of an active metal matrix composite with embedded SMA fibres. Both tetragonal and hexagonal periodic arrangements of SMA fibres are considered in the calculation and the results are compared.

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