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

Name: Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys
Published: 2024-03-20
License: https://mit-license.org/

Open this dataset in the live repository

Important usage condition: Use and redistribution are governed by MIT. Review and comply with the license before using the data.

Persistent identifier: doi:10.60507/FK2/VZAIVF
Published version: 1.1
Publication date: 2024-03-20
License: MIT

Description

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.

Creators

Conti, Sergio
Lenz, Martin
Rumpf, Martin
Verhülsdonk, Jan
Zwicknagl, Barbara

Keywords

Martensite, Needle microstructures, Shape optimization, Finite elasticity, Cubic anisotropy

Files

Before downloading: Use and redistribution are governed by MIT. Review and comply with the license before using the data.

File	Type	Bytes	Checksum
readme.md	text/markdown	1697	MD5 ca2bcbdb38750969780ecacb1489f77b
license.txt	text/plain	1064	MD5 6dc290e4cbffeabf4e884a42bcfde7f2
shape_optimization.py	text/x-python-script	4262	MD5 0ccfffc9651327e5ee352ba88e71a347
energy_density.py	text/x-python-script	1394	MD5 7d17047883d7bf179abbc42f24284931
environment.yml	application/x-yaml	403	MD5 88ec91b450dbfce0e4ce400260bc670f
mesh_setup.py	text/x-python-script	9745	MD5 464ef8b8cea593ddf8fb886c828f4e3b
main.py	text/x-python-script	8638	MD5 dc9cb1941ed168b327df03baf31f986e
deformation.py	text/x-python-script	4180	MD5 f95a5209a1a85e6519b67506469b70ef

Citation

Conti, Sergio; Lenz, Martin; Rumpf, Martin; Verhülsdonk, Jan; Zwicknagl, Barbara, 2024-03-20, Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys, doi:10.60507/FK2/VZAIVF, V1.1

Additional Dataverse fields

Id	219
Dataset Type	dataset
Internal Version Number	4
Latest Version Publishing State	RELEASED
Deaccession Link	Not supplied
Release Time	2024-03-22T08:13:56Z
Create Time	2024-03-22T08:13:45Z
Citation Date	2024-03-20
File Access Request	False

Export metadata

Static metadata exports available for this published dataset version:

Complete Dataverse metadata

Citation Metadata

Title title

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

Author author

Author Name
Conti, Sergio
Author Affiliation
University of Bonn
Author Identifier Scheme
ORCID
Author Identifier
Type Name
authorIdentifier
Multiple
False
Type Class
primitive
Value
https://orcid.org/0000-0001-7987-9174
Expandedvalue
Person Name
Conti, Sergio
@id
https://orcid.org/0000-0001-7987-9174
Scheme
ORCID
@type
https://schema.org/Person
Author Name
Lenz, Martin
Author Affiliation
University of Bonn
Author Identifier Scheme
ORCID
Author Identifier
Type Name
authorIdentifier
Multiple
False
Type Class
primitive
Value
https://orcid.org/0000-0002-5394-6874
Expandedvalue
Person Name
Lenz, Martin
@id
https://orcid.org/0000-0002-5394-6874
Scheme
ORCID
@type
https://schema.org/Person
Author Name
Rumpf, Martin
Author Affiliation
University of Bonn
Author Identifier Scheme
ORCID
Author Identifier
Type Name
authorIdentifier
Multiple
False
Type Class
primitive
Value
https://orcid.org/0000-0001-6049-9390
Expandedvalue
Person Name
Rumpf, Martin
@id
https://orcid.org/0000-0001-6049-9390
Scheme
ORCID
@type
https://schema.org/Person
Author Name
Verhülsdonk, Jan
Author Affiliation
University of Bonn
Author Identifier Scheme
ORCID
Author Identifier
Type Name
authorIdentifier
Multiple
False
Type Class
primitive
Value
https://orcid.org/0009-0008-9466-505X
Expandedvalue
Person Name
Verhülsdonk, Jan
@id
https://orcid.org/0009-0008-9466-505X
Scheme
ORCID
@type
https://schema.org/Person
Author Name
Zwicknagl, Barbara
Author Affiliation
University of Bonn
Author Identifier Scheme
ORCID
Author Identifier
Type Name
authorIdentifier
Multiple
False
Type Class
primitive
Value
https://orcid.org/0000-0002-6394-0775
Expandedvalue
Person Name
Zwicknagl, Barbara
@id
https://orcid.org/0000-0002-6394-0775
Scheme
ORCID
@type
https://schema.org/Person

Dataset Contact datasetContact

Dataset Contact Name
Verhülsdonk, Jan
Dataset Contact Affiliation
University of Bonn
Dataset Contact Email
verhuelsdonk@iam.uni-bonn.de

Ds Description dsDescription

Ds Description Value
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.

Subject subject

Mathematical Sciences
Physics

Free Keyword freeKeyword

Free Keyword Value
Martensite
Free Keyword Value
Needle microstructures
Free Keyword Value
Shape optimization
Free Keyword Value
Finite elasticity
Free Keyword Value
Cubic anisotropy

Publication publication

Publication Citation
Conti, S., Lenz, M., Rumpf, M., Verhülsdonk, J., Zwicknagl, B., Geometry of Needle-Like Microstructures in Shape-Memory Alloys. Shap. Mem. Superelasticity (2023)
Publication IDType
doi
Publication IDNumber
10.1007/s40830-023-00442-0
Publication URL
https://doi.org/10.1007/s40830-023-00442-0

Grant Number grantNumber

Grant Number Agency
Deutsche Forschungsgemeinschaft (DFG)
Grant Number Value
211504053
Grant Number Agency
Deutsche Forschungsgemeinschaft (DFG)
Grant Number Value
441211072
Grant Number Agency
Deutsche Forschungsgemeinschaft (DFG)
Grant Number Value
390685813
Grant Number Agency
Deutsche Forschungsgemeinschaft (DFG)
Grant Number Value
390873048

Depositor depositor

Lenz, Martin

Date Of Deposit dateOfDeposit

2024-03-20

Kind Of Data kindOfData

code

Software Metadata (CodeMeta v2.0)

Code Repository codeRepository

https://github.com/jan-v97/needle_geometry

Programming Language programmingLanguage

Python 3

Software Requirements Item softwareRequirementsItem

Software Requirements
anaconda
Software Requirements
FEniCS 2019.1.0
Software Requirements
dolfin-adjoint 2019.1.1

Expected crawler behaviour

Use a stable, truthful User-Agent with product/version and a working contact URL. Across all IP addresses and HTTP connections used by one crawler identity, allow no more than 5 requests in flight and wait at least 20 seconds between request starts. Crawl URLs listed in the catalog sitemap, including file pages and download URLs when they are published, use conditional requests, honor Retry-After, and apply exponential backoff after errors.

The welcome page may link to the interactive repository for human navigation. Automated clients must not treat that human link as a catalog crawl target.

Read the live machine-readable crawler policy before and during a crawl. Stop crawling when it reports CPU or memory utilization at or above 80% and 80% respectively.