Topology optimization based on a phase-field approach and Howard's algorithm

Matti Ristinmaa; Mathias Wallin

Topology optimization based on a phase-field approach and Howard's algorithm

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Sammanfattning

The topology optimization problem is formulated in a phase-field approach. The solution
procedure is based on the Allan-Cahn diffusion model. The functional defining the minimization problem
includes a gradient term which introduces cost for boundaries and thereby regularizing the problem. To
avoid non-physical densities obstacles are introduces. It is shown that the problem can be stated as a
variational inequality or a max-min problem. The numerical solution procedure are based on the finite
element method and Howard’s algorithm.

Originalspråk	engelska
Sidor	161--162
Status	Published - 2012
Evenemang	25th Nordic Seminar on Computational Mechanics, 2012 - Lund, Lund, Sverige Varaktighet: 2012 okt. 25 → 2012 okt. 26 Konferensnummer: 25

Konferens

Konferens	25th Nordic Seminar on Computational Mechanics, 2012
Förkortad titel	NSCM
Land/Territorium	Sverige
Ort	Lund
Period	2012/10/25 → 2012/10/26

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title = "Topology optimization based on a phase-field approach and Howard's algorithm",

abstract = "The topology optimization problem is formulated in a phase-field approach. The solution procedure is based on the Allan-Cahn diffusion model. The functional defining the minimization problem includes a gradient term which introduces cost for boundaries and thereby regularizing the problem. To avoid non-physical densities obstacles are introduces. It is shown that the problem can be stated as a variational inequality or a max-min problem. The numerical solution procedure are based on the finite element method and Howard{\textquoteright}s algorithm.",

author = "Matti Ristinmaa and Mathias Wallin",

year = "2012",

language = "English",

pages = "161----162",

note = "25th Nordic Seminar on Computational Mechanics, 2012, NSCM ; Conference date: 25-10-2012 Through 26-10-2012",

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TY - CONF

T1 - Topology optimization based on a phase-field approach and Howard's algorithm

AU - Ristinmaa, Matti

AU - Wallin, Mathias

N1 - Conference code: 25

PY - 2012

Y1 - 2012

N2 - The topology optimization problem is formulated in a phase-field approach. The solution procedure is based on the Allan-Cahn diffusion model. The functional defining the minimization problem includes a gradient term which introduces cost for boundaries and thereby regularizing the problem. To avoid non-physical densities obstacles are introduces. It is shown that the problem can be stated as a variational inequality or a max-min problem. The numerical solution procedure are based on the finite element method and Howard’s algorithm.

AB - The topology optimization problem is formulated in a phase-field approach. The solution procedure is based on the Allan-Cahn diffusion model. The functional defining the minimization problem includes a gradient term which introduces cost for boundaries and thereby regularizing the problem. To avoid non-physical densities obstacles are introduces. It is shown that the problem can be stated as a variational inequality or a max-min problem. The numerical solution procedure are based on the finite element method and Howard’s algorithm.

M3 - Paper, not in proceeding

SP - 161

EP - 162

T2 - 25th Nordic Seminar on Computational Mechanics, 2012

Y2 - 25 October 2012 through 26 October 2012

ER -

Topology optimization based on a phase-field approach and Howard's algorithm

Sammanfattning

Konferens

Ämnesklassifikation (UKÄ)

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