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The superelastic constitutive model implemented in the commercial finiteelement code ABAQUS is verified using the method of exact solutions (MES). Ananalytical solution for uniaxial strain is first developed under a set ofsimplifying assumptions including von Mises-like transformation surfaces,symmetric transformation behavior, and monotonic loading. Numerical simulationsare then performed, and simulation predictions are compared to the exactanalytical solutions. Results reveal the superelasticity model agrees with theanalytical solution to within one ten-thousandth of a percent (0.0001%) or lessfor stress and strain quantities of interest when using displacement-drivenboundary conditions. Full derivation of the analytical solution is provided inan Appendix, and simulation input files and post-processing scripts areprovided as supplemental material.

Method of Exact Solutions Code Verification of a Superelastic Constitutive Model in a Commercial Finite Element Solver