Computational design of mechanical metamaterials through misaligned periodic microstructure
Mechanical metamaterials, with their intricately designed microstructures, exhibit properties that are superior to those of natural materials. Computational optimization, which uses finite element analysis of periodic microstructures, enables the design of architected microstructures to achieve desi...
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| Published in | Materials & design Vol. 253; p. 113819 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.05.2025
Elsevier |
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| Abstract | Mechanical metamaterials, with their intricately designed microstructures, exhibit properties that are superior to those of natural materials. Computational optimization, which uses finite element analysis of periodic microstructures, enables the design of architected microstructures to achieve desired macroscopic properties. Traditionally, unit cells are defined within cuboidal domains; however, this study extends the design to parallelepiped domains, significantly expanding design possibilities. This study investigates the influence of geometric design domains on the topology optimization of negative Poisson's ratio (NPR) metamaterials. Using the mathematical homogenization method, unit cells within parallelogram or parallelepiped domains are represented within square or cubic domains under misaligned periodic boundary conditions. This approach enables the manipulation of macroscopic elastic stiffness components while maintaining the solid volume fraction. A comparative analysis was performed to examine the geometric characteristics of optimized microstructures and the resulting macroscopic anisotropy under both standard and misaligned periodic boundary conditions. 3D-printed NPR metamaterials were tested to validate the design. The results demonstrate the effectiveness of the computational design method in generating diverse microstructures with misalignment, opening new avenues for designing NPR metamaterials with enhanced properties.
•Extended topology optimization for designing metamaterial microstructures under misaligned periodic boundary conditions.•Investigated misalignment in periodic boundary conditions as a design variable for microstructure tailoring.•Designed and experimentally validated 3D negative Poisson's ratio metamaterials. |
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| AbstractList | Mechanical metamaterials, with their intricately designed microstructures, exhibit properties that are superior to those of natural materials. Computational optimization, which uses finite element analysis of periodic microstructures, enables the design of architected microstructures to achieve desired macroscopic properties. Traditionally, unit cells are defined within cuboidal domains; however, this study extends the design to parallelepiped domains, significantly expanding design possibilities. This study investigates the influence of geometric design domains on the topology optimization of negative Poisson's ratio (NPR) metamaterials. Using the mathematical homogenization method, unit cells within parallelogram or parallelepiped domains are represented within square or cubic domains under misaligned periodic boundary conditions. This approach enables the manipulation of macroscopic elastic stiffness components while maintaining the solid volume fraction. A comparative analysis was performed to examine the geometric characteristics of optimized microstructures and the resulting macroscopic anisotropy under both standard and misaligned periodic boundary conditions. 3D-printed NPR metamaterials were tested to validate the design. The results demonstrate the effectiveness of the computational design method in generating diverse microstructures with misalignment, opening new avenues for designing NPR metamaterials with enhanced properties.
•Extended topology optimization for designing metamaterial microstructures under misaligned periodic boundary conditions.•Investigated misalignment in periodic boundary conditions as a design variable for microstructure tailoring.•Designed and experimentally validated 3D negative Poisson's ratio metamaterials. Mechanical metamaterials, with their intricately designed microstructures, exhibit properties that are superior to those of natural materials. Computational optimization, which uses finite element analysis of periodic microstructures, enables the design of architected microstructures to achieve desired macroscopic properties. Traditionally, unit cells are defined within cuboidal domains; however, this study extends the design to parallelepiped domains, significantly expanding design possibilities. This study investigates the influence of geometric design domains on the topology optimization of negative Poisson's ratio (NPR) metamaterials. Using the mathematical homogenization method, unit cells within parallelogram or parallelepiped domains are represented within square or cubic domains under misaligned periodic boundary conditions. This approach enables the manipulation of macroscopic elastic stiffness components while maintaining the solid volume fraction. A comparative analysis was performed to examine the geometric characteristics of optimized microstructures and the resulting macroscopic anisotropy under both standard and misaligned periodic boundary conditions. 3D-printed NPR metamaterials were tested to validate the design. The results demonstrate the effectiveness of the computational design method in generating diverse microstructures with misalignment, opening new avenues for designing NPR metamaterials with enhanced properties. |
| ArticleNumber | 113819 |
| Author | Zhou, Jiaxin Watanabe, Ikumu Kambayashi, Keita |
| Author_xml | – sequence: 1 givenname: Jiaxin orcidid: 0000-0001-7681-1668 surname: Zhou fullname: Zhou, Jiaxin organization: Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan – sequence: 2 givenname: Ikumu orcidid: 0000-0002-7693-1675 surname: Watanabe fullname: Watanabe, Ikumu email: WATANABE.Ikumu@nims.go.jp organization: Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan – sequence: 3 givenname: Keita orcidid: 0009-0008-6439-1721 surname: Kambayashi fullname: Kambayashi, Keita organization: Department of Mechanical Engineering, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka, Niigata 940-2188, Japan |
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| Keywords | Finite element method Topology optimization Microstructure design Negative Poisson's ratio Mechanical metamaterials Misaligned periodicity |
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