Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization

Abstract Recent advancements in manufacturing, finite element analysis (FEA), and optimization techniques have expanded the design possibilities for metamaterials, including isotropic and auxetic structures, known for applications like energy absorption due to their unique deformation mechanism and...

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Main Authors: Timon Meier, Runxuan Li, Stefanos Mavrikos, Brian Blankenship, Zacharias Vangelatos, M. Erden Yildizdag, Costas P. Grigoropoulos
Format: Article
Language:English
Published: Nature Portfolio 2024-01-01
Series:npj Computational Materials
Online Access:https://doi.org/10.1038/s41524-023-01186-2
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author Timon Meier
Runxuan Li
Stefanos Mavrikos
Brian Blankenship
Zacharias Vangelatos
M. Erden Yildizdag
Costas P. Grigoropoulos
author_facet Timon Meier
Runxuan Li
Stefanos Mavrikos
Brian Blankenship
Zacharias Vangelatos
M. Erden Yildizdag
Costas P. Grigoropoulos
author_sort Timon Meier
collection DOAJ
description Abstract Recent advancements in manufacturing, finite element analysis (FEA), and optimization techniques have expanded the design possibilities for metamaterials, including isotropic and auxetic structures, known for applications like energy absorption due to their unique deformation mechanism and consistent behavior under varying loads. However, achieving simultaneous control of multiple properties, such as optimal isotropic and auxetic characteristics, remains challenging. This paper introduces a systematic design approach that combines modeling, FEA, genetic algorithm, and optimization to create tailored mechanical behavior in metamaterials. Through strategically arranging 8 distinct neither isotropic nor auxetic unit cell states, the stiffness tensor in a 5 × 5 × 5 cubic symmetric lattice structure is controlled. Employing the NSGA-II genetic algorithm and automated modeling, we yield metamaterial lattice structures possessing both desired isotropic and auxetic properties. Multiphoton lithography fabrication and experimental characterization of the optimized metamaterial highlights a practical real-world use and confirms the close correlation between theoretical and experimental data.
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spelling doaj.art-2b16d17260e545dda91029289fbc20842024-01-07T12:35:59ZengNature Portfolionpj Computational Materials2057-39602024-01-0110111210.1038/s41524-023-01186-2Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterizationTimon Meier0Runxuan Li1Stefanos Mavrikos2Brian Blankenship3Zacharias Vangelatos4M. Erden Yildizdag5Costas P. Grigoropoulos6Laser Thermal Laboratory, Department of Mechanical Engineering, University of CaliforniaLaser Thermal Laboratory, Department of Mechanical Engineering, University of CaliforniaLaser Thermal Laboratory, Department of Mechanical Engineering, University of CaliforniaLaser Thermal Laboratory, Department of Mechanical Engineering, University of CaliforniaLaser Thermal Laboratory, Department of Mechanical Engineering, University of CaliforniaFaculty of Naval Architecture and Ocean Engineering, Istanbul Technical UniversityLaser Thermal Laboratory, Department of Mechanical Engineering, University of CaliforniaAbstract Recent advancements in manufacturing, finite element analysis (FEA), and optimization techniques have expanded the design possibilities for metamaterials, including isotropic and auxetic structures, known for applications like energy absorption due to their unique deformation mechanism and consistent behavior under varying loads. However, achieving simultaneous control of multiple properties, such as optimal isotropic and auxetic characteristics, remains challenging. This paper introduces a systematic design approach that combines modeling, FEA, genetic algorithm, and optimization to create tailored mechanical behavior in metamaterials. Through strategically arranging 8 distinct neither isotropic nor auxetic unit cell states, the stiffness tensor in a 5 × 5 × 5 cubic symmetric lattice structure is controlled. Employing the NSGA-II genetic algorithm and automated modeling, we yield metamaterial lattice structures possessing both desired isotropic and auxetic properties. Multiphoton lithography fabrication and experimental characterization of the optimized metamaterial highlights a practical real-world use and confirms the close correlation between theoretical and experimental data.https://doi.org/10.1038/s41524-023-01186-2
spellingShingle Timon Meier
Runxuan Li
Stefanos Mavrikos
Brian Blankenship
Zacharias Vangelatos
M. Erden Yildizdag
Costas P. Grigoropoulos
Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization
npj Computational Materials
title Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization
title_full Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization
title_fullStr Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization
title_full_unstemmed Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization
title_short Obtaining auxetic and isotropic metamaterials in counterintuitive design spaces: an automated optimization approach and experimental characterization
title_sort obtaining auxetic and isotropic metamaterials in counterintuitive design spaces an automated optimization approach and experimental characterization
url https://doi.org/10.1038/s41524-023-01186-2
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