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A contact aware regularization technique for shape optimization

Sjövall, Filip LU orcid and Wallin, Mathias LU (2025) In Computational Mechanics
Abstract
A novel regularization method for shape optimization of contacting structures is proposed. The shape optimization avoids parameterizations via splines or the level set method by directly optimizing the nodes in the finite element mesh. In the past this approach was limited by numerical difficulties arising from mesh entanglement and serrated boundaries but recent advances in regularization techniques have proven successful in avoiding these issues. Traditionally, designing structures in contact presents a significant challenge since the structures are “unaware” of each other outside the contact region which can lead to design changes that cause the bodies to interfere. A straightforward solution to this problem is to restrict the design... (More)
A novel regularization method for shape optimization of contacting structures is proposed. The shape optimization avoids parameterizations via splines or the level set method by directly optimizing the nodes in the finite element mesh. In the past this approach was limited by numerical difficulties arising from mesh entanglement and serrated boundaries but recent advances in regularization techniques have proven successful in avoiding these issues. Traditionally, designing structures in contact presents a significant challenge since the structures are “unaware” of each other outside the contact region which can lead to design changes that cause the bodies to interfere. A straightforward solution to this problem is to restrict the design updates so that penetration is limited. The method presented in this paper allows relatively large design changes by utilizing a contact “aware” regularization that limits the interference caused by design changes. To enable larger shape changes the optimization sequentially resets the design. The features of the proposed method are showcased in several numerical examples that optimize the contact response. (Less)
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author
and
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Contact mechanics, Shape Optimization, Hyperelasticity, Node coordinate parameterization, Filtering
in
Computational Mechanics
pages
17 pages
publisher
Springer
external identifiers
  • scopus:105005116394
ISSN
1432-0924
DOI
10.1007/s00466-025-02634-0
language
English
LU publication?
yes
id
2211ea34-bb91-457f-85f3-461acc50d79d
date added to LUP
2025-05-28 08:41:48
date last changed
2025-05-29 04:01:52
@article{2211ea34-bb91-457f-85f3-461acc50d79d,
  abstract     = {{A novel regularization method for shape optimization of contacting structures is proposed. The shape optimization avoids parameterizations via splines or the level set method by directly optimizing the nodes in the finite element mesh. In the past this approach was limited by numerical difficulties arising from mesh entanglement and serrated boundaries but recent advances in regularization techniques have proven successful in avoiding these issues. Traditionally, designing structures in contact presents a significant challenge since the structures are “unaware” of each other outside the contact region which can lead to design changes that cause the bodies to interfere. A straightforward solution to this problem is to restrict the design updates so that penetration is limited. The method presented in this paper allows relatively large design changes by utilizing a contact “aware” regularization that limits the interference caused by design changes. To enable larger shape changes the optimization sequentially resets the design. The features of the proposed method are showcased in several numerical examples that optimize the contact response.}},
  author       = {{Sjövall, Filip and Wallin, Mathias}},
  issn         = {{1432-0924}},
  keywords     = {{Contact mechanics; Shape Optimization; Hyperelasticity; Node coordinate parameterization; Filtering}},
  language     = {{eng}},
  month        = {{05}},
  publisher    = {{Springer}},
  series       = {{Computational Mechanics}},
  title        = {{A contact aware regularization technique for shape optimization}},
  url          = {{http://dx.doi.org/10.1007/s00466-025-02634-0}},
  doi          = {{10.1007/s00466-025-02634-0}},
  year         = {{2025}},
}