Nanostructures with shape memory effect: Modelling coupled dynamics

In this contribution we apply a phase-field (PF) modeling approach for the analysis of properties of shape-memory alloy (SMA) nanostructures, focusing on their complex microstructures and thermo-mechanical behavior. We have developed a model that includes domain walls, treated as a diffuse interface, which leads to a fourth-order differential equation in a strain based order parameter PF model. Arising numerical challenges have been overcome based on the isogeometric analysis (IGA). Microstructure evolutions for different geometries of SMA nanostructures under temperature-induced phase transformations have been studied and some typical examples are presented here.