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Shape and topology optimization for contact applications

Sjövall, Filip LU orcid and Wallin, Mathias LU (2026) In International Journal of Solids and Structures 328. p.113825-113825
Abstract
This paper combines density-based topology optimization (TO) with a “contact aware” shape optimization (SO) which combines the design freedom of TO with the precise boundary representation of SO. Using gradient based optimization, the objective is to design structures in frictionless contact, including the shape of the contacting surfaces. SO is performed on each contacting structure which defines its own TO domain and contact is modeled at the interface between the domains using a mortar formulation combined with the penalty method. The SO uses the finite element node coordinate parameterization, and to avoid undesired shape changes that can result in e.g. jagged boundaries or excessive interference between two contacting grids, a... (More)
This paper combines density-based topology optimization (TO) with a “contact aware” shape optimization (SO) which combines the design freedom of TO with the precise boundary representation of SO. Using gradient based optimization, the objective is to design structures in frictionless contact, including the shape of the contacting surfaces. SO is performed on each contacting structure which defines its own TO domain and contact is modeled at the interface between the domains using a mortar formulation combined with the penalty method. The SO uses the finite element node coordinate parameterization, and to avoid undesired shape changes that can result in e.g. jagged boundaries or excessive interference between two contacting grids, a PDE-based filter is used. Two formulations are investigated, one that sequentially uses TO and then SO and one that uses them simultaneously. (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Solids and Structures
volume
328
pages
13 pages
publisher
Elsevier
external identifiers
  • scopus:105027225954
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2025.113825
language
English
LU publication?
yes
id
f0a4f64e-3c8c-4ef7-9eac-041af5589ce5
date added to LUP
2026-02-06 16:15:40
date last changed
2026-02-17 11:19:06
@article{f0a4f64e-3c8c-4ef7-9eac-041af5589ce5,
  abstract     = {{This paper combines density-based topology optimization (TO) with a “contact aware” shape optimization (SO) which combines the design freedom of TO with the precise boundary representation of SO. Using gradient based optimization, the objective is to design structures in frictionless contact, including the shape of the contacting surfaces. SO is performed on each contacting structure which defines its own TO domain and contact is modeled at the interface between the domains using a mortar formulation combined with the penalty method. The SO uses the finite element node coordinate parameterization, and to avoid undesired shape changes that can result in e.g. jagged boundaries or excessive interference between two contacting grids, a PDE-based filter is used. Two formulations are investigated, one that sequentially uses TO and then SO and one that uses them simultaneously.}},
  author       = {{Sjövall, Filip and Wallin, Mathias}},
  issn         = {{0020-7683}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{113825--113825}},
  publisher    = {{Elsevier}},
  series       = {{International Journal of Solids and Structures}},
  title        = {{Shape and topology optimization for contact applications}},
  url          = {{http://dx.doi.org/10.1016/j.ijsolstr.2025.113825}},
  doi          = {{10.1016/j.ijsolstr.2025.113825}},
  volume       = {{328}},
  year         = {{2026}},
}