用于形状记忆合金的有限应变本构模型， formulated in the logarithmic strain space
材料科学
2025-09-04 v2
摘要
本文提出了形状记忆合金（SMA）的三维本构模型的有限应变版本，该模型能够考虑SMA组件可能承受的大型变形和旋转。该模型通过将原始小应变模型（该模型在广义标准材料框架内构建，包含改进的耗散（速率）函数）应用于对数应变空间方法而实现。此外，还增强了自由能函数，以更灵活地捕捉相变动力学。该模型被实现于有限元软件中。为展示模型性能并验证实现情况，拟合了两种SMA的材料参数，并进行了两种SMA组件的计算仿真。从应用角度来看，该方法在未来将其他现象（例如与塑性相关的不可逆性）纳入模型方面具有高度的灵活性。
引用
@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}
}
备注
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