This work presents a finite-strain version of an established three-dimensional constitutive model for polycrystalline shape memory alloys (SMA) that is able to account for the large deformations and rotations that SMA components may undergo. The model is constructed by applying the logarithmic strain space approach to the original small-strain model, which was formulated within the Generalized Standard Materials framework and features a refined dissipation (rate) function. Additionally, the free energy function is augmented to be more versatile in capturing the transformation kinetics. The model is implemented into finite element software. To demonstrate the model performance and validate the implementation, material parameters are fitted to the experimental data of two SMA, and two computational simulations of SMA components are conducted. The applied approach is highly flexible from the perspective of the future incorporation of other phenomena, e.g., irreversibility associated with plasticity, into the model.
@article{arxiv.2504.16629,
title = {Finite-strain constitutive model for shape memory alloys formulated in the logarithmic strain space},
author = {Alexej Moskovka and Martin Horák and Jan Valdman and Michal Knapek and Miloš Janeček and Petr Sedlák and Miroslav Frost},
journal= {arXiv preprint arXiv:2504.16629},
year = {2025}
}
Comments
This version of the article has been accepted for publication, after peer review, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40830-025-00562-9