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Data‐driven simulation of functional fatigue in shape memory alloy wires

Harnisch, Marius ; Bartel, Thorsten ; Weyergraf, Lukas ; Menzel, Andreas LU and Schweizer, Ben (2024) In PAMM - Proceedings in Applied Mathematics and Mechanics 24(2).
Abstract
Data-driven mechanics offers great potential in engineering applications, where the efficient simulation of complex and, in particular, path-dependent material behavior is often challenging. Within this approach, conventional material models are replaced by data sets containing snapshots of stress, strain and the history of both assumed to be sufficiently accurate representations of the underlying material behavior. Based on these snapshots and on physical admissibility, a distance function is built which is minimized to yield the boundary value problems' solution. The aim of this paper is to apply this framework to accurately simulate the complex behavior of shape memory alloy wires under cyclic loading, under which these materials... (More)
Data-driven mechanics offers great potential in engineering applications, where the efficient simulation of complex and, in particular, path-dependent material behavior is often challenging. Within this approach, conventional material models are replaced by data sets containing snapshots of stress, strain and the history of both assumed to be sufficiently accurate representations of the underlying material behavior. Based on these snapshots and on physical admissibility, a distance function is built which is minimized to yield the boundary value problems' solution. The aim of this paper is to apply this framework to accurately simulate the complex behavior of shape memory alloy wires under cyclic loading, under which these materials exhibit a degradation of their features, denoted functional fatigue. The constructed synthetic data sets are enriched by real experimental data, showcasing that the data-driven method is capable of combining both approaches of classic material modeling and modern methods which directly incorporate experimental data. (Less)
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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
PAMM - Proceedings in Applied Mathematics and Mechanics
volume
24
issue
2
pages
8 pages
publisher
John Wiley & Sons Inc.
ISSN
1617-7061
DOI
10.1002/pamm.202400079
language
English
LU publication?
yes
id
18556f30-6113-4712-bea5-c9fc0451f7a6
date added to LUP
2026-01-20 14:01:17
date last changed
2026-01-29 11:57:57
@article{18556f30-6113-4712-bea5-c9fc0451f7a6,
  abstract     = {{Data-driven mechanics offers great potential in engineering applications, where the efficient simulation of complex and, in particular, path-dependent material behavior is often challenging. Within this approach, conventional material models are replaced by data sets containing snapshots of stress, strain and the history of both assumed to be sufficiently accurate representations of the underlying material behavior. Based on these snapshots and on physical admissibility, a distance function is built which is minimized to yield the boundary value problems' solution. The aim of this paper is to apply this framework to accurately simulate the complex behavior of shape memory alloy wires under cyclic loading, under which these materials exhibit a degradation of their features, denoted functional fatigue. The constructed synthetic data sets are enriched by real experimental data, showcasing that the data-driven method is capable of combining both approaches of classic material modeling and modern methods which directly incorporate experimental data.}},
  author       = {{Harnisch, Marius and Bartel, Thorsten and Weyergraf, Lukas and Menzel, Andreas and Schweizer, Ben}},
  issn         = {{1617-7061}},
  language     = {{eng}},
  month        = {{08}},
  number       = {{2}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{PAMM - Proceedings in Applied Mathematics and Mechanics}},
  title        = {{Data‐driven simulation of functional fatigue in shape memory alloy wires}},
  url          = {{http://dx.doi.org/10.1002/pamm.202400079}},
  doi          = {{10.1002/pamm.202400079}},
  volume       = {{24}},
  year         = {{2024}},
}