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Aspects of accuracy and uniqueness of solutions in data‐driven mechanics

Bartel, Thorsten ; Harnisch, Marius ; Menzel, Andreas LU and Schweizer, Ben (2023) In PAMM - Proceedings in Applied Mathematics and Mechanics 22(1).
Abstract
Data-driven methods provide great potential for future applications in engineering, for example in terms of more efficient simulations. Conventional material models and the associated constitutive equations are substituted by a minimization of a distance between so-called material and mechanical states, which, however, leads to non-unique solutions. The aim of this paper is to analyze the influence of the chosen initial values on the accuracy of the obtained results. Furthermore, Mixed Integer Quadratic Programming (MIQP) is implemented and its applicability to data-driven mechanics is assessed.
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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
22
issue
1
pages
6 pages
publisher
John Wiley & Sons Inc.
ISSN
1617-7061
DOI
10.1002/pamm.202200206
language
English
LU publication?
yes
id
2afd3d85-5ab2-4b41-920c-0ae474253ec6
date added to LUP
2026-01-20 14:08:44
date last changed
2026-01-29 12:37:58
@article{2afd3d85-5ab2-4b41-920c-0ae474253ec6,
  abstract     = {{Data-driven methods provide great potential for future applications in engineering, for example in terms of more efficient simulations. Conventional material models and the associated constitutive equations are substituted by a minimization of a distance between so-called material and mechanical states, which, however, leads to non-unique solutions. The aim of this paper is to analyze the influence of the chosen initial values on the accuracy of the obtained results. Furthermore, Mixed Integer Quadratic Programming (MIQP) is implemented and its applicability to data-driven mechanics is assessed.}},
  author       = {{Bartel, Thorsten and Harnisch, Marius and Menzel, Andreas and Schweizer, Ben}},
  issn         = {{1617-7061}},
  language     = {{eng}},
  month        = {{03}},
  number       = {{1}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{PAMM - Proceedings in Applied Mathematics and Mechanics}},
  title        = {{Aspects of accuracy and uniqueness of solutions in data‐driven mechanics}},
  url          = {{http://dx.doi.org/10.1002/pamm.202200206}},
  doi          = {{10.1002/pamm.202200206}},
  volume       = {{22}},
  year         = {{2023}},
}