ZENG Zhong-min, PENG Xiang-he. A Constitutive Description of Cyclic Pseudoelasticity for the NiTi SMAs Involving Coupled Phase Transformation and Plasticity[J]. Applied Mathematics and Mechanics, 2014, 35(8): 850-862. doi: 10.3879/j.issn.1000-0887.2014.08.003
Citation: ZENG Zhong-min, PENG Xiang-he. A Constitutive Description of Cyclic Pseudoelasticity for the NiTi SMAs Involving Coupled Phase Transformation and Plasticity[J]. Applied Mathematics and Mechanics, 2014, 35(8): 850-862. doi: 10.3879/j.issn.1000-0887.2014.08.003

A Constitutive Description of Cyclic Pseudoelasticity for the NiTi SMAs Involving Coupled Phase Transformation and Plasticity

doi: 10.3879/j.issn.1000-0887.2014.08.003
Funds:  The National Natural Science Foundation of China(11332013; 11272364)
  • Received Date: 2014-04-23
  • Rev Recd Date: 2014-07-03
  • Publish Date: 2014-08-15
  • According to the main experimental constitutive characteristics of the NiTi shape memory alloys (SMAs) subjected to cyclic tensile loading, and in line with the constitutive relationship for the SMAs, an analytical approach and the corresponding numerical algorithm as well as the computational program were developed. The constitutive description is based on the mixture theory, employs the Voigt hypothesis, and takes into account the effects of forward and inverse martensitic transformation, reorientation deformation and plastic deformation. The pseudoelastic behavior of a NiTi SMA subjected to cyclic tensile loading and unloading was simulated. The comparison between the computed and experimental results shows that the main characteristics of the material under cyclic loading can be satisfactorily described, which demonstrates the validity of the constitutive model and the developed numerical program.
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