Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys (doi:10.60507/FK2/VZAIVF)

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Part 2: Study Description
Part 5: Other Study-Related Materials
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Document Description

Citation

Title:

Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys

Identification Number:

doi:10.60507/FK2/VZAIVF

Distributor:

bonndata

Date of Distribution:

2024-03-20

Version:

1

Bibliographic Citation:

Conti, Sergio; Lenz, Martin; Rumpf, Martin; Verhülsdonk, Jan; Zwicknagl, Barbara, 2024, "Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys", https://doi.org/10.60507/FK2/VZAIVF, bonndata, V1

Study Description

Citation

Title:

Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys

Identification Number:

doi:10.60507/FK2/VZAIVF

Authoring Entity:

Conti, Sergio (University of Bonn)

Lenz, Martin (University of Bonn)

Rumpf, Martin (University of Bonn)

Verhülsdonk, Jan (University of Bonn)

Zwicknagl, Barbara (University of Bonn)

Grant Number:

211504053

Grant Number:

441211072

Grant Number:

390685813

Grant Number:

390873048

Distributor:

bonndata

Access Authority:

Verhülsdonk, Jan

Depositor:

Lenz, Martin

Date of Deposit:

2024-03-20

Holdings Information:

https://doi.org/10.60507/FK2/VZAIVF

Study Scope

Keywords:

Mathematical Sciences, Physics

Abstract:

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.

Kind of Data:

code

Methodology and Processing

Sources Statement

Data Access

Other Study Description Materials

Related Publications

Citation

Title:

Conti, S., Lenz, M., Rumpf, M., Verhülsdonk, J., Zwicknagl, B., Geometry of Needle-Like Microstructures in Shape-Memory Alloys. Shap. Mem. Superelasticity (2023)

Identification Number:

10.1007/s40830-023-00442-0

Bibliographic Citation:

Conti, S., Lenz, M., Rumpf, M., Verhülsdonk, J., Zwicknagl, B., Geometry of Needle-Like Microstructures in Shape-Memory Alloys. Shap. Mem. Superelasticity (2023)

Other Study-Related Materials

Label:

deformation.py

Notes:

text/x-python-script

Other Study-Related Materials

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energy_density.py

Notes:

text/x-python-script

Other Study-Related Materials

Label:

environment.yml

Notes:

application/x-yaml

Other Study-Related Materials

Label:

license.txt

Notes:

text/plain

Other Study-Related Materials

Label:

main.py

Notes:

text/x-python-script

Other Study-Related Materials

Label:

mesh_setup.py

Notes:

text/x-python-script

Other Study-Related Materials

Label:

readme.md

Notes:

text/markdown

Other Study-Related Materials

Label:

shape_optimization.py

Notes:

text/x-python-script