Graph-based design of irregular metamaterials

In the field of metamaterial research, irregular structures offer a novel and less conventional approach compared to traditional periodic designs. Designing irregular metamaterials is challenging when it comes to ensuring interconnectivity, which is essential for manufacturability. This study introd...

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Published in:	International journal of mechanical sciences Vol. 295; p. 110203
Main Authors:	Karimi Mahabadi, Rayehe, Chen, Zhi, Ogren, Alexander C., Zhang, Han, Daraio, Chiara, Rudin, Cynthia, Brinson, L. Catherine
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.06.2025
Subjects:	Acoustic Design Graph algorithm Irregular Metamaterial Design Irregular Acoustic Metamaterial Graph algorithm
ISSN:	0020-7403
Online Access:	Get full text
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Abstract	In the field of metamaterial research, irregular structures offer a novel and less conventional approach compared to traditional periodic designs. Designing irregular metamaterials is challenging when it comes to ensuring interconnectivity, which is essential for manufacturability. This study introduces an innovative framework for generating irregular metamaterials using graph algorithms, ensuring connectivity and adaptability across various base shapes, including cylinders, triangles, pyramids, and cubes. By employing graph algorithms, our framework enhances the intuitiveness and efficiency of design representation and manipulation, streamlining the design process. The framework generates families of designs that exhibit a wide range of property magnitudes that can be adjusted intuitively by modifying the input parameters. The rapid design process allows many designs to be generated, offering the user a multitude of solutions around the target property range. The designs can be effectively implemented in various fields and subjected to diverse analytical studies, including static, dynamic, and eigenfrequency assessments. We illustrate computational results for two key properties (stiffness and acoustic impedance), showcasing the method’s effectiveness through examples ranging from rod-based to cube-based designs. The framework not only advances metamaterial research but also creates new opportunities for innovation in fields requiring customized material properties. [Display omitted] •Efficient and fast method to design families of irregular metamaterials.•Using spanning trees within graphs to ensure interconnectivity of designs.•Versatile and adaptable to base elements like rods, triangles, pyramids, and cubes.•Capable of designing isotropic and anisotropic designs.•Enables designing metamaterials with directional strength in desired regions.
AbstractList	In the field of metamaterial research, irregular structures offer a novel and less conventional approach compared to traditional periodic designs. Designing irregular metamaterials is challenging when it comes to ensuring interconnectivity, which is essential for manufacturability. This study introduces an innovative framework for generating irregular metamaterials using graph algorithms, ensuring connectivity and adaptability across various base shapes, including cylinders, triangles, pyramids, and cubes. By employing graph algorithms, our framework enhances the intuitiveness and efficiency of design representation and manipulation, streamlining the design process. The framework generates families of designs that exhibit a wide range of property magnitudes that can be adjusted intuitively by modifying the input parameters. The rapid design process allows many designs to be generated, offering the user a multitude of solutions around the target property range. The designs can be effectively implemented in various fields and subjected to diverse analytical studies, including static, dynamic, and eigenfrequency assessments. We illustrate computational results for two key properties (stiffness and acoustic impedance), showcasing the method’s effectiveness through examples ranging from rod-based to cube-based designs. The framework not only advances metamaterial research but also creates new opportunities for innovation in fields requiring customized material properties. [Display omitted] •Efficient and fast method to design families of irregular metamaterials.•Using spanning trees within graphs to ensure interconnectivity of designs.•Versatile and adaptable to base elements like rods, triangles, pyramids, and cubes.•Capable of designing isotropic and anisotropic designs.•Enables designing metamaterials with directional strength in desired regions.
ArticleNumber	110203
Author	Karimi Mahabadi, Rayehe Chen, Zhi Brinson, L. Catherine Ogren, Alexander C. Zhang, Han Daraio, Chiara Rudin, Cynthia
Author_xml	– sequence: 1 givenname: Rayehe orcidid: 0000-0001-5177-635X surname: Karimi Mahabadi fullname: Karimi Mahabadi, Rayehe organization: Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA – sequence: 2 givenname: Zhi orcidid: 0000-0003-1993-5749 surname: Chen fullname: Chen, Zhi organization: Departments of Computer Science and Electrical and Computer Engineering, Duke University, Durham, NC, USA – sequence: 3 givenname: Alexander C. surname: Ogren fullname: Ogren, Alexander C. organization: Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA – sequence: 4 givenname: Han orcidid: 0000-0002-7522-8101 surname: Zhang fullname: Zhang, Han organization: Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA – sequence: 5 givenname: Chiara orcidid: 0000-0001-5296-4440 surname: Daraio fullname: Daraio, Chiara organization: Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA, USA – sequence: 6 givenname: Cynthia orcidid: 0000-0003-4283-2780 surname: Rudin fullname: Rudin, Cynthia organization: Departments of Computer Science and Electrical and Computer Engineering, Duke University, Durham, NC, USA – sequence: 7 givenname: L. Catherine orcidid: 0000-0003-2551-1563 surname: Brinson fullname: Brinson, L. Catherine email: cate.brinson@duke.edu organization: Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA
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Snippet	In the field of metamaterial research, irregular structures offer a novel and less conventional approach compared to traditional periodic designs. Designing...
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