Geometrically non-linear topology optimization via geometry projection
Hu, Jingyu ; Wallin, Mathias LU ; Ristinmaa, Matti LU
; Norato, J. A.
and Liu, Shutian
(2025)
In Computer Methods in Applied Mechanics and Engineering
435.
- Abstract
Geometry projection-based topology optimization has attracted a great deal of attention because it enables the design of structures consisting of a combination of geometric primitives and simplifies the integration with computer-aided design (CAD) systems. While the approach has undergone substantial development under the assumption of linear theory, it remains to be developed for non-linear hyperelastic problems. In this study, a geometrically non-linear explicit topology optimization approach is proposed in the framework of the geometry projection method. The energy transition strategy is adopted to mitigate excessive distortion in low-stiffness regions that might cause the equilibrium iterations to diverge. A neo-Hookean hyperelastic... (More)
Geometry projection-based topology optimization has attracted a great deal of attention because it enables the design of structures consisting of a combination of geometric primitives and simplifies the integration with computer-aided design (CAD) systems. While the approach has undergone substantial development under the assumption of linear theory, it remains to be developed for non-linear hyperelastic problems. In this study, a geometrically non-linear explicit topology optimization approach is proposed in the framework of the geometry projection method. The energy transition strategy is adopted to mitigate excessive distortion in low-stiffness regions that might cause the equilibrium iterations to diverge. A neo-Hookean hyperelastic strain energy potential is used to model the material behavior. Design sensitivities of the functions passed to the gradient-based optimizer are detailed and verified. The proposed method is used to solve benchmark problems for which the output displacement in a compliant mechanism is maximized and the structural compliance is minimized.
(Less)
- author
- Hu, Jingyu
; Wallin, Mathias
LU
; Ristinmaa, Matti
LU
; Norato, J. A.
and Liu, Shutian
- organization
- publishing date
- 2025-02
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Geometrically non-linear structures, Geometry projection method, Geometry-based topology optimization, Hyperelastic material behavior
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 435
- article number
- 117636
- publisher
- Elsevier
- external identifiers
-
- scopus:85211066317
- ISSN
- 0045-7825
- DOI
- 10.1016/j.cma.2024.117636
- language
- English
- LU publication?
- yes
- id
- 6e677b4c-71a8-4c3b-b9cf-0e5f1f33f061
- date added to LUP
- 2025-02-26 13:01:32
- date last changed
- 2025-04-04 15:01:56
@article{6e677b4c-71a8-4c3b-b9cf-0e5f1f33f061,
abstract = {{<p>Geometry projection-based topology optimization has attracted a great deal of attention because it enables the design of structures consisting of a combination of geometric primitives and simplifies the integration with computer-aided design (CAD) systems. While the approach has undergone substantial development under the assumption of linear theory, it remains to be developed for non-linear hyperelastic problems. In this study, a geometrically non-linear explicit topology optimization approach is proposed in the framework of the geometry projection method. The energy transition strategy is adopted to mitigate excessive distortion in low-stiffness regions that might cause the equilibrium iterations to diverge. A neo-Hookean hyperelastic strain energy potential is used to model the material behavior. Design sensitivities of the functions passed to the gradient-based optimizer are detailed and verified. The proposed method is used to solve benchmark problems for which the output displacement in a compliant mechanism is maximized and the structural compliance is minimized.</p>}},
author = {{Hu, Jingyu and Wallin, Mathias and Ristinmaa, Matti and Norato, J. A. and Liu, Shutian}},
issn = {{0045-7825}},
keywords = {{Geometrically non-linear structures; Geometry projection method; Geometry-based topology optimization; Hyperelastic material behavior}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Computer Methods in Applied Mechanics and Engineering}},
title = {{Geometrically non-linear topology optimization via geometry projection}},
url = {{http://dx.doi.org/10.1016/j.cma.2024.117636}},
doi = {{10.1016/j.cma.2024.117636}},
volume = {{435}},
year = {{2025}},
}