Design of metamaterial-based heat manipulators using isogeometric level-set topology optimization

Adjoint method; Isogeometric analysis; Level-set topology optimization; Thermal camouflage; Thermal cloak; Thermal metamaterials; Adjoint methods; Level Set; Thermal; Thermal metamaterial; Topology optimisation; Software

Abstract :

[en] We exploit level-set topology optimization to find the optimal material distribution for metamaterial-based heat manipulators. The level-set function, geometry, and solution field are parameterized using the Non-Uniform Rational B-Spline (NURBS) basis functions to take advantage of easy control of smoothness and continuity. In addition, NURBS approximations can produce conic geometries exactly and provide higher efficiency for higher-order elements. The values of the level-set function at the control points (called expansion coefficients) are utilized as design variables. For optimization, we use an advanced mathematical programming technique, Sequential Quadratic Programming. Taking into account a large number of design variables and the small number of constraints associated with our optimization problem, the adjoint method is utilized to calculate the required sensitivities with respect to the design variables. The efficiency and robustness of the proposed method are demonstrated by solving three numerical examples. We have also shown that the current method can handle different geometries and types of objective functions. In addition, regularization techniques such as Tikhonov regularization and volume regularization have been explored to reduce unnecessary complexity and increase the manufacturability of optimized topologies.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

JANSARI, Chintankumar Vipulbhai ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Engineering > Team Stéphane BORDAS

Bordas, Stéphane P. A. ; Faculty of Sciences, Technology and Medicine, Institute of Computational Engineering, University of Luxembourg, Luxembourg, Luxembourg ; Clyde Visiting Fellow, Department of Mechanical Engineering, The University of Utah, Salt Lake, United States

Atroshchenko, Elena; School of Civil and Environmental Engineering, University of New South Wales, Sydney, Australia

External co-authors :

yes

Language :

English

Title :

Design of metamaterial-based heat manipulators using isogeometric level-set topology optimization

Publication date :

April 2024

Journal title :

Structural and Multidisciplinary Optimization

ISSN :

1615-147X

eISSN :

1615-1488

Publisher :

Springer Science and Business Media Deutschland GmbH

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Focus Area :

Computational Sciences

Additional URL :

https://link.springer.com/content/pdf/10.1007/s00158-023-03717-3.pdf

Funders :

H2020 Spreading Excellence and Widening Participation
University of New South Wales

Funding text :

Stéphane P.A. Bordas acknowledges the funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 811099 TWINNING Project DRIVEN for the University of Luxembourg.

Available on ORBilu :

since 07 May 2024

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