Object structure
Title:

Hybrid level-set phase field method in shape optimization

Subtitle:

Raport Badawczy = Research Report ; RB/29/2013

Creator:

Koniarski, Konr ; Myśliński, Andrzej

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2013

Description:

16 pages ; 21 cm ; Bibliography p. 15-16

Subject and Keywords:

Metoda pola fazowego ; Topology optimization ; Optymalizacja topologii ; Metoda zbiorów poziomicowych ; Unilateral problems ; Level set approach ; Phase field method ; Problemy jednostronne

Abstract:

In the paper two-phase topology optimization problem is formulated in terms of the modified level set method and regularized using Cahn-Hilliard based interfacial energy term rather than the standard perimeter term. The derivative formulae of the cost functional with respect to the level set function is calculated. Modified reaction-diffusion equation updating the level set function is derived. The necessary optimality condition for this optimization problem is formulated. The finite element and finite difference methods are used to solve the state and adjoint systems. Numerical examples are provided and discussed.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2013-29

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

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