Full-Field Micromechanics of Precipitated Shape Memory Alloys

A full-field micromechanics approach is developed to predict the effective thermomechanical response of precipitation-hardened near-equiatomic Ni-rich NiTi alloys on the basis of composition and heat treatment. The microscale-informed model takes into account the structural effects of the precipitates (precipitate volume fraction, elastic properties, and coherency stresses due to the lattice mismatch between the precipitates and the matrix) on the reversible martensitic transformation under load as well as the chemical effects resulting from the Ni depletion of the matrix during precipitate growth. The post-aging thermomechanical response is predicted based on finite element simulations on representative microstructures, using the response of the solutionized material and time–temperature–martensitic transformation temperature maps. The predictions are compared with experiments for materials of different initial compositions and heat treatments and reasonably good agreement is demonstrated. The proposed methodology can be in principle extended to predict the post-aging thermomechanical response of other shape memory alloy systems as well.

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