# Finite-strain constitutive model for shape memory alloys formulated in the logarithmic strain space

Source: [Finite-strain constitutive model for shape memory alloys formulated in the logarithmic strain space](<https://www.sota2.com/research/paper/68fa4b8f1e209131ce946d5f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T08:24:06.286Z

Authors: Alexej Moskovka, Martin Hor\\'ak, Jan Valdman, Michal Knapek, Milo\\v{s} Jane\\v{c}ek, Petr Sedl\\'ak, Miroslav Frost (5) \_\_INSTITUTION\_7\_\_ Institute of Information Theory, Automation, Czech Acad Sci, Prague, Czechia, (2) Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czechia, (3) Faculty of Civil Engineering, Czech Technical University in Prague, Czechia (4) Faculty of Mathematics, Physics, Charles University, Prague, Czechia, (5) Institute of Thermomechanics, Czech Acad Sci, Prague, Czechia)

Published: 2025-04-23T11:39:23.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2504.16629>)

[PDF](<https://arxiv.org/pdf/2504.16629.pdf>)