Boundary Effects in a Phase-Field approach to Topology Optimization
Wallin, Mathias LU and Ristinmaa, Matti LU
(2014)
In Computer Methods in Applied Mechanics and Engineering
278.
p.145-159
- Abstract
- A phase-field based topology optimization approach is considered for the maximum stiffness or minimum compliance problem. The objective functional to be minimized consists in addition to the compliance a cost for gray solutions and a cost for interfaces between void and full material. Since the interfaces between void and full material are penalized via a volume integral in the original phase-field formulation there is no penalty associated with interfaces along the external boundaries. In the present contribution, an additional term representing the cost of interfaces at external boundaries is added to the functional subject to minimization. It is shown that the new boundary term enters the optimization as a Robin boundary condition. The... (More)
- A phase-field based topology optimization approach is considered for the maximum stiffness or minimum compliance problem. The objective functional to be minimized consists in addition to the compliance a cost for gray solutions and a cost for interfaces between void and full material. Since the interfaces between void and full material are penalized via a volume integral in the original phase-field formulation there is no penalty associated with interfaces along the external boundaries. In the present contribution, an additional term representing the cost of interfaces at external boundaries is added to the functional subject to minimization. It is shown that the new boundary term enters the optimization as a Robin boundary condition. The method is implemented in a finite element setting and numerical simulations of typical structures are considered. The results indicate that the optimal designs are influenced by the cost of interfaces to a large (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4466211
- author
- Wallin, Mathias
LU
and Ristinmaa, Matti
LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Topology optimization, Phase-field, Boundary energy, Double obstacle problem, Howard’s algorithm
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 278
- pages
- 145 - 159
- publisher
- Elsevier
- external identifiers
-
- wos:000340301200008
- scopus:84944865558
- ISSN
- 0045-7825
- DOI
- 10.1016/j.cma.2014.05.012
- language
- English
- LU publication?
- yes
- id
- ed05483f-8cea-4eca-b6eb-3e0e142c5907 (old id 4466211)
- date added to LUP
- 2016-04-01 13:41:29
- date last changed
- 2022-04-21 22:59:19
@article{ed05483f-8cea-4eca-b6eb-3e0e142c5907,
abstract = {{A phase-field based topology optimization approach is considered for the maximum stiffness or minimum compliance problem. The objective functional to be minimized consists in addition to the compliance a cost for gray solutions and a cost for interfaces between void and full material. Since the interfaces between void and full material are penalized via a volume integral in the original phase-field formulation there is no penalty associated with interfaces along the external boundaries. In the present contribution, an additional term representing the cost of interfaces at external boundaries is added to the functional subject to minimization. It is shown that the new boundary term enters the optimization as a Robin boundary condition. The method is implemented in a finite element setting and numerical simulations of typical structures are considered. The results indicate that the optimal designs are influenced by the cost of interfaces to a large}},
author = {{Wallin, Mathias and Ristinmaa, Matti}},
issn = {{0045-7825}},
keywords = {{Topology optimization; Phase-field; Boundary energy; Double obstacle problem; Howard’s algorithm}},
language = {{eng}},
pages = {{145--159}},
publisher = {{Elsevier}},
series = {{Computer Methods in Applied Mechanics and Engineering}},
title = {{Boundary Effects in a Phase-Field approach to Topology Optimization}},
url = {{http://dx.doi.org/10.1016/j.cma.2014.05.012}},
doi = {{10.1016/j.cma.2014.05.012}},
volume = {{278}},
year = {{2014}},
}