10.60507/FK2/VZAIVF
Conti, Sergio
Sergio
Conti
https://orcid.org/0000-0001-7987-9174
University of Bonn
Lenz, Martin
Martin
Lenz
https://orcid.org/0000-0002-5394-6874
University of Bonn
Rumpf, Martin
Martin
Rumpf
https://orcid.org/0000-0001-6049-9390
University of Bonn
Verhülsdonk, Jan
Jan
Verhülsdonk
https://orcid.org/0009-0008-9466-505X
University of Bonn
Zwicknagl, Barbara
Barbara
Zwicknagl
https://orcid.org/0000-0002-6394-0775
University of Bonn
Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys
bonndata
2024
Mathematical Sciences
Physics
Verhülsdonk, Jan
Jan
Verhülsdonk
University of Bonn
2024-03-20
2024-03-20
2024-03-22
code
10.1007/S40830-023-00442-0
10.60507/FK2/VZAIVF/CCA9HJ
10.60507/FK2/VZAIVF/0ZGCY9
10.60507/FK2/VZAIVF/5SO6WS
10.60507/FK2/VZAIVF/1DNG79
10.60507/FK2/VZAIVF/F3CSVW
10.60507/FK2/VZAIVF/VWPI3V
10.60507/FK2/VZAIVF/IVKXDX
10.60507/FK2/VZAIVF/AJZACU
8638
9745
4180
1394
1064
1697
4262
403
text/x-python-script
text/x-python-script
text/x-python-script
text/x-python-script
text/plain
text/markdown
text/x-python-script
application/x-yaml
1.1
The MIT License
This repository contains the code to
<a href="https://doi.org/10.1007/s40830-023-00442-0">Conti, S., Lenz, M., Rumpf, M., Verhülsdonk, J., Zwicknagl, B., Geometry of Needle-Like Microstructures
in Shape-Memory Alloys. Shap. Mem. Superelasticity (2023).</a>
Needle-like microstructures are often observed
in shape memory alloys near macro-interfaces that separate
regions with different laminate orientation. We study their
shape with a two-dimensional model based on nonlinear
elasticity, that contains an explicit parametrization of the
needle profiles. Energy minimization leads to specific
predictions for the geometry of needle-like domains. Our
simulations are based on shape optimization of the needle
interfaces, using a polyconvex energy density with cubic
symmetry for the elastic problem, and a numerical implementation
via finite elements on a dynamically changing
grid.
Deutsche Forschungsgemeinschaft (DFG)
211504053
Deutsche Forschungsgemeinschaft (DFG)
441211072
Deutsche Forschungsgemeinschaft (DFG)
390685813
Deutsche Forschungsgemeinschaft (DFG)
390873048