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Radial basis function level set method for structural optimization

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Title: Radial basis function level set method for structural optimization

Creator:

Myśliński, Andrzej

Date issued/created:

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Subtitle:

Raport Badawczy = Research Report ; RB/48/2010

Publisher:

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

Place of publishing:

Description:

627-645 pages ; 21 cm ; Bibliography p. 643-645

Abstract:

This paper is concerned with simultaneous topology and shape optimization of elastic contact problems. The structural optimization problem for an elastic contact problem consists in finding such topology as well as such shape of the boundary of the domain occupied by the body that the normal contact stress is minimized. Shape and topological derivatives formulae of the cost functional obtained using material derivative and asymptotic expansion methods, respectively, are recalled. These derivatives are employed to formulate the necessary optimality condition and to calculate a descent direction in a numerical algorithm. Level set based method is employed in numerical algorithm for tracking the evolution of the domain boundary on a fixed mesh and finding an optimal domain.In order to increase the efficiency of the level set based numerical algorithm, the radial basis function approach is used to solve the equation governing domain boundary evolution. Numerical examples are provided and discussed.

Relation:

Raport Badawczy = Research Report

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Resource Identifier:

oai:rcin.org.pl:217452

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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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Last modified:

Oct 19, 2021

In our library since:

Oct 19, 2021

Number of object content downloads / hits:

23

All available object's versions:

https://www.rcin.org.pl/publication/255064

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Raporty Badawcze

Edition name	Date
RB-2010-48 : Myśliński Andrzej Marek : Radial basis function level set method for structural optimization	Oct 19, 2021

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