Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Topology optimization of thermo-hyperelastic structures utilizing inverse motion based form finding

Sui, Qianqian LU ; Yan, Jun ; Fan, Zhirui LU ; Wallin, Mathias LU ; Ristinmaa, Matti LU orcid and Niu, Bin (2023) In Engineering Optimization 55(1). p.110-124
Abstract

The inverse motion concept is used to optimize thermo-hyperelastic structures using an exact description of the deformed geometry. This method prescribes the shape of the structure in the deformed state, and the optimization yields the shape of the undeformed configuration, i.e. the manufactured state. The kinematics of the thermoelastic model is defined through the multiplicative decomposition of the deformation gradient in combination with neo-Hookean hyperelasticity. To regularize the optimization problem and obtain distinct boundaries, the mathematical design field is thresholded using a smoothed Heaviside function and smeared using a partial differential equation. The sensitivity analyses of the objective function and constraints... (More)

The inverse motion concept is used to optimize thermo-hyperelastic structures using an exact description of the deformed geometry. This method prescribes the shape of the structure in the deformed state, and the optimization yields the shape of the undeformed configuration, i.e. the manufactured state. The kinematics of the thermoelastic model is defined through the multiplicative decomposition of the deformation gradient in combination with neo-Hookean hyperelasticity. To regularize the optimization problem and obtain distinct boundaries, the mathematical design field is thresholded using a smoothed Heaviside function and smeared using a partial differential equation. The sensitivity analyses of the objective function and constraints are both based on the adjoint method. The capabilities of the proposed approach are shown by numerical examples wherein the weight is minimized and the performance of multi-material compliant mechanisms is optimized.

(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
keywords
inverse motion, multi-material compliant mechanism design, thermo-hyperelastic structures, Topology optimization, weight minimization
in
Engineering Optimization
volume
55
issue
1
pages
110 - 124
publisher
Taylor & Francis
external identifiers
  • scopus:85117220143
ISSN
0305-215X
DOI
10.1080/0305215X.2021.1986490
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2021 Informa UK Limited, trading as Taylor & Francis Group.
id
97d29b69-c0bf-4ff3-a82d-16a85c2d4d98
date added to LUP
2021-11-12 11:28:29
date last changed
2024-03-22 11:47:16
@article{97d29b69-c0bf-4ff3-a82d-16a85c2d4d98,
  abstract     = {{<p>The inverse motion concept is used to optimize thermo-hyperelastic structures using an exact description of the deformed geometry. This method prescribes the shape of the structure in the deformed state, and the optimization yields the shape of the undeformed configuration, i.e. the manufactured state. The kinematics of the thermoelastic model is defined through the multiplicative decomposition of the deformation gradient in combination with neo-Hookean hyperelasticity. To regularize the optimization problem and obtain distinct boundaries, the mathematical design field is thresholded using a smoothed Heaviside function and smeared using a partial differential equation. The sensitivity analyses of the objective function and constraints are both based on the adjoint method. The capabilities of the proposed approach are shown by numerical examples wherein the weight is minimized and the performance of multi-material compliant mechanisms is optimized.</p>}},
  author       = {{Sui, Qianqian and Yan, Jun and Fan, Zhirui and Wallin, Mathias and Ristinmaa, Matti and Niu, Bin}},
  issn         = {{0305-215X}},
  keywords     = {{inverse motion; multi-material compliant mechanism design; thermo-hyperelastic structures; Topology optimization; weight minimization}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{110--124}},
  publisher    = {{Taylor & Francis}},
  series       = {{Engineering Optimization}},
  title        = {{Topology optimization of thermo-hyperelastic structures utilizing inverse motion based form finding}},
  url          = {{http://dx.doi.org/10.1080/0305215X.2021.1986490}},
  doi          = {{10.1080/0305215X.2021.1986490}},
  volume       = {{55}},
  year         = {{2023}},
}