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

翻译：使用精确解方法（MES）对商业有限元软件ABAQUS中实现的超弹性本构模型进行了验证。首先在一组简化假设下（包括类von Mises转变曲面、对称转变行为及单调加载）建立了单轴应变的解析解。随后开展数值模拟，并将模拟预测结果与精确解析解进行对比。结果表明：当采用位移驱动边界条件时，超弹性模型在应力与应变关键量上与解析解的偏差不超过万分之0.0001%（即0.0001%）。附录提供了解析解的完整推导过程，模拟输入文件与后处理脚本以补充材料形式提供。