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Multimaterial topology optimization of variational inequalities

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Title: Multimaterial topology optimization of variational inequalities

Creator:

Myśliński, Andrzej

Date issued/created:

Resource type:

Subtitle:

Raport Badawczy = Research Report ; RB/37/2015

Publisher:

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

Place of publishing:

Description:

10 pages ; 21 cm ; Bibliography p. 9-10

Abstract:

The paper is concerned with the analysis and numerical solution of multimaterial structural optimization problems for bodies in unilateral contact. Contact phenomenon is governed by the elliptic variational inequality. The structural optimization problem consists in finding such topology of the domain occupied by the body that the normal contact stress along the boundary of the body is minimized. The cost functional is regularized by the multiphase volume constrained Ginzburg-Landau energy functional. The first order necessary optimality condition is formulated. The optimal topology is obtained as the steady state of the phase transition governed by the generalized Allen-Cahn equation. The optimization problem is solved numerically using operator splitting approach combined with the projection gradient method. Numerical examples are provided and discussed.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Resource Identifier:

oai:rcin.org.pl:144855

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Language:

Language of abstract:

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.

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Subject and keywords:

Topology optimization Optymalizacja topologii Unilateral contact problems Jednostronne problemy z kontaktem Multimaterials Multimateriały Phase field regularization Regularyzacja pola fazowego

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Last modified:

Oct 19, 2021

In our library since:

Oct 28, 2020

Number of object content downloads / hits:

70

All available object's versions:

https://rcin.org.pl./publication/180443

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Raporty Badawcze

Edition name	Date
RB-2015-37 : Myśliński Andrzej Marek : Multimaterial topology optimization of variational inequalities	Oct 19, 2021

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