Abstract
A constitutive model, based on an(n+1)-phase mixture of the Mori–Tanaka average theory, has been developed for stress-inducedmartensitic transformation and reorientation in single crystalline shape memoryalloys. Volume fractions of different martensite lattice correspondence variants arechosen as internal variables to describe microstructural evolution. MacroscopicGibbs free energy for the phase transformation is derived with thermodynamicsprinciples and the ensemble average method of micro-mechanics. The criticalcondition and the evolution equation are proposed for both the phase transitionand reorientation. This model can also simulate interior hysteresis loops duringloading/unloading by switching the critical driving forces when an opposite transition takesplace.
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