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Optimal topologies derived from a phase-field method

Wallin, Mathias LU ; Ristinmaa, Matti LU and Askfelt, Henrik LU (2012) In Structural and Multidisciplinary Optimization 45(2). p.171-183
Abstract (Swedish)
Abstract in Undetermined

A topology optimization method allowing for perimeter control is presented. The approach is based on a functional that takes the material density and the strain field as arguments. The cost for surfaces is included in the functional that is minimized. Diffuse designs are avoided by introducing a penalty term in the functional that is minimized. Equilibrium and a volume constraint are enforced via a Lagrange multiplier technique. The extremum to the functional is found by use of the Cahn–Hilliard phase-field method. It is shown that the optimization problem is suitable for finite element implementation and the FE-formulation is discussed in detail. In the numerical examples provided, the influence of... (More)
Abstract in Undetermined

A topology optimization method allowing for perimeter control is presented. The approach is based on a functional that takes the material density and the strain field as arguments. The cost for surfaces is included in the functional that is minimized. Diffuse designs are avoided by introducing a penalty term in the functional that is minimized. Equilibrium and a volume constraint are enforced via a Lagrange multiplier technique. The extremum to the functional is found by use of the Cahn–Hilliard phase-field method. It is shown that the optimization problem is suitable for finite element implementation and the FE-formulation is discussed in detail. In the numerical examples provided, the influence of surface penalization is investigated. It is shown that the perimeter of the structure can be controlled using the proposed scheme. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Topology optimization, Phase-field, Cahn–Hilliard
in
Structural and Multidisciplinary Optimization
volume
45
issue
2
pages
171 - 183
publisher
Springer
external identifiers
  • wos:000298500500002
  • scopus:84859573796
ISSN
1615-1488
DOI
10.1007/s00158-011-0688-x
language
English
LU publication?
yes
id
f7ce81f6-7170-4e50-8a5e-0aa6f2edd013 (old id 1717170)
date added to LUP
2010-11-16 14:42:26
date last changed
2017-08-13 03:07:01
@article{f7ce81f6-7170-4e50-8a5e-0aa6f2edd013,
  abstract     = {<b>Abstract in Undetermined</b><br/><br>
A topology optimization method allowing for perimeter control is presented. The approach is based on a functional that takes the material density and the strain field as arguments. The cost for surfaces is included in the functional that is minimized. Diffuse designs are avoided by introducing a penalty term in the functional that is minimized. Equilibrium and a volume constraint are enforced via a Lagrange multiplier technique. The extremum to the functional is found by use of the Cahn–Hilliard phase-field method. It is shown that the optimization problem is suitable for finite element implementation and the FE-formulation is discussed in detail. In the numerical examples provided, the influence of surface penalization is investigated. It is shown that the perimeter of the structure can be controlled using the proposed scheme.},
  author       = {Wallin, Mathias and Ristinmaa, Matti and Askfelt, Henrik},
  issn         = {1615-1488},
  keyword      = {Topology optimization,Phase-field,Cahn–Hilliard},
  language     = {eng},
  number       = {2},
  pages        = {171--183},
  publisher    = {Springer},
  series       = {Structural and Multidisciplinary Optimization},
  title        = {Optimal topologies derived from a phase-field method},
  url          = {http://dx.doi.org/10.1007/s00158-011-0688-x},
  volume       = {45},
  year         = {2012},
}