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A unified thermodynamic constitutive model for Shape Memory Alloy (SMA) materials, derived by a proper extension of the thermodynamic model proposed by Boyd and Lagoudas is presented in this paper. The specific selections for the form of the mixing energy associated with the martensitic volume fraction are identified for several earlier models. The heat 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 constitutive model is implemented in a finite element analysis scheme using a return mapping integration technique for the incremental formation of the model. Finally, the constitutive model is utilized to analyze the thermomechanical response of an active metal matrix composite with embedded SMA fibers. Both tetragonal and hexagonal periodic arrangements of SMA fibers are considered in the calculation and the results from the different arrangements of SMA fibers are compared.
Zhonghe Bo andDimitris C. Lagoudas
"Unified thermodynamic constitutive model and finite element analysis of active metal matrix composites", Proc. SPIE 2427, Active Materials and Smart Structures, (2 February 1995); https://doi.org/10.1117/12.200923
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Zhonghe Bo, Dimitris C. Lagoudas, "Unified thermodynamic constitutive model and finite element analysis of active metal matrix composites," Proc. SPIE 2427, Active Materials and Smart Structures, (2 February 1995); https://doi.org/10.1117/12.200923