RCIN and OZwRCIN projects

Object

Title: Multimaterial topology optimization of variational inequalities

Creator:

Myśliński, Andrzej

Date issued/created:

2015

Resource type:

Tekst

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:

Warszawa

Description:

10 stron ; 21 cm ; Bibliografia s. 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:

Raport

Resource Identifier:

oai:rcin.org.pl:144855

Source:

RB-2015-37

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Object collections:

Last modified:

Oct 19, 2021

In our library since:

Oct 28, 2020

Number of object content downloads / hits:

61

All available object's versions:

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

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