An Explicit, Accurate Approach Toward Modeling Irrecoverable Deformation Effects of Shape Memory Alloys

Abstract

Finite strain plastic deformation effects of SMAs are simulated based on finite strain elastoplastic J2-flow equations, in a direct sense with no reference to any additional variables for phase transition mechanisms. Uniaxial loading-unloading curves of any given shape may be exactly reproduced as uniaxial stress-strain responses of these equations in each loading-unloading cycle. A new technique for combining linear spline functions into a unified, smooth interpolating function is proposed toward the purpose of explicitly, accurately fitting any given test data for both loading and unloading cases.