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Shape optimization of hyperelastic structures subject to frictionless contact

Sjövall, Filip LU orcid ; Wallin, Mathias LU and Tortorelli, Daniel (2024) In Computers & Structures 301.
Abstract
This paper describes the shape optimization of hyperelastic structures exhibiting finite deformation and contact. The structure's shapes are parameterized with B-splines and the spline control point coordinates serve as the design variables. This design parametrization provides precise boundary representations and analytical sensitivity computations. To accommodate non-matching grids between the contacting bodies the mortar method is employed and, to hasten computations the accelerated Uzawa scheme is used to solve the displacement and contact pressure update equations. The formulation is used to optimize structures to achieve the desired mechanical response by exploiting both the non-linear hyperelastic material response and the contact... (More)
This paper describes the shape optimization of hyperelastic structures exhibiting finite deformation and contact. The structure's shapes are parameterized with B-splines and the spline control point coordinates serve as the design variables. This design parametrization provides precise boundary representations and analytical sensitivity computations. To accommodate non-matching grids between the contacting bodies the mortar method is employed and, to hasten computations the accelerated Uzawa scheme is used to solve the displacement and contact pressure update equations. The formulation is used to optimize structures to achieve the desired mechanical response by exploiting both the non-linear hyperelastic material response and the contact phenomena. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Computers & Structures
volume
301
article number
107426
publisher
Elsevier
external identifiers
  • scopus:85194825169
ISSN
1879-2243
DOI
10.1016/j.compstruc.2024.107426
language
English
LU publication?
yes
id
3892ad7e-7ff3-431c-b52e-ef8ecf74b71e
date added to LUP
2024-06-07 10:45:48
date last changed
2024-06-10 11:14:55
@article{3892ad7e-7ff3-431c-b52e-ef8ecf74b71e,
  abstract     = {{This paper describes the shape optimization of hyperelastic structures exhibiting finite deformation and contact. The structure's shapes are parameterized with B-splines and the spline control point coordinates serve as the design variables. This design parametrization provides precise boundary representations and analytical sensitivity computations. To accommodate non-matching grids between the contacting bodies the mortar method is employed and, to hasten computations the accelerated Uzawa scheme is used to solve the displacement and contact pressure update equations. The formulation is used to optimize structures to achieve the desired mechanical response by exploiting both the non-linear hyperelastic material response and the contact phenomena.}},
  author       = {{Sjövall, Filip and Wallin, Mathias and Tortorelli, Daniel}},
  issn         = {{1879-2243}},
  language     = {{eng}},
  month        = {{09}},
  publisher    = {{Elsevier}},
  series       = {{Computers & Structures}},
  title        = {{Shape optimization of hyperelastic structures subject to frictionless contact}},
  url          = {{http://dx.doi.org/10.1016/j.compstruc.2024.107426}},
  doi          = {{10.1016/j.compstruc.2024.107426}},
  volume       = {{301}},
  year         = {{2024}},
}