Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part II: material characterization and experimental results for a stable transformation cycle Academic Article uri icon


  • Material characterization of polycrystalline Shape Memory Alloys (SMAs) during a stable phase transformation cycle is presented in this paper using the constitutive model established by Bo and Lagoudas in the first paper of this series, to be referenced here as Part I. In addition to the constitutive equations obtained in Part I, the energy balance equation describing the heat exchange during phase transformation is derived in this paper using the first law of thermodynamics. In the present study, we assume that the plastic strains, which accumulate with the number of applied transformation cycles, remain constant during a single transformation cycle. To use thermomechanical experimental results performed on SMA wires, the model developed in Part I is reduced to a 1-D form, and a procedure for the determination of the material constants is discussed in detail. A series of experiments performed on NiTi SMA wires undergoing thermally induced phase transformation under constant applied load is utilized for model simulations and subsequent comparisons with model predictions. Using the present model, thermally induced phase transformation under varying magnitude of applied load can be modeled for both untrained and trained SMAs. Finally, an application of the model to stress induced phase transformation in thin SMA specimens, where transformation strain localization occurs, is discussed. Part III of this series of four papers on SMAs will study the evolution of plastic strains accumulating in thermally induced cyclic phase transformation under constant applied load, therefore fully characterizing the thermomechanical response of SMAs undergoing multiple operating cycles. Finally, in Part IV, the thermomechanical response of SMAs under minor hysteresis loops will be investigated.

published proceedings

  • International Journal of Engineering Science

author list (cited authors)

  • Lagoudas, D. C., & Bo, Z

citation count

  • 120

complete list of authors

  • Lagoudas, Dimitris C||Bo, Zhonghe

publication date

  • July 1999