A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects
The design of non-buckling interconnects with thick sections has gained important applications in stretchable inorganic electronics due to their simultaneous achievement of high stretchability, low resistance, and low heat generation. However, at the same time, such a design sharply increased the te...
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MDPI AG
2023-09-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/13/18/2542 |
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| author | Yongkang Wang Zanxin Zhou Rui Li Jianru Wang Baolin Sha Shuang Li Yewang Su |
| author_facet | Yongkang Wang Zanxin Zhou Rui Li Jianru Wang Baolin Sha Shuang Li Yewang Su |
| author_sort | Yongkang Wang |
| collection | DOAJ |
| description | The design of non-buckling interconnects with thick sections has gained important applications in stretchable inorganic electronics due to their simultaneous achievement of high stretchability, low resistance, and low heat generation. However, at the same time, such a design sharply increased the tensile stiffness, which is detrimental to the conformal fit and skin comfort. Introducing the fractal design into the non-buckling interconnects is a promising approach to greatly reduce the tensile stiffness while maintaining other excellent performances. Here, a hierarchical theory is proposed for the tensile stiffness of the non-buckling fractal-inspired interconnects with an arbitrary shape at each order, which is verified by the finite element analysis. The results show that the tensile stiffness of the non-buckling fractal-inspired interconnects decreases with the increase in either the height/span ratio or the number of fractal orders but is not highly correlated with the ratio of the two adjacent dimensions. When the ratio of the two adjacent dimensions and height/span ratio are fixed, the tensile stiffness of the serpentine fractal-inspired interconnect is smaller than that of sinusoidal and zigzag fractal-inspired interconnects. These findings are of great significance for the design of non-buckling fractal-inspired interconnects of stretchable inorganic electronics. |
| first_indexed | 2024-03-10T22:22:24Z |
| format | Article |
| id | doaj.art-96e98d622773426f8a5aeb7dfea42038 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T22:22:24Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-96e98d622773426f8a5aeb7dfea420382023-11-19T12:14:26ZengMDPI AGNanomaterials2079-49912023-09-011318254210.3390/nano13182542A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired InterconnectsYongkang Wang0Zanxin Zhou1Rui Li2Jianru Wang3Baolin Sha4Shuang Li5Yewang Su6State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, ChinaXi’an Aerospace Propulsion Technology Institute, Xi’an 710025, ChinaThe 41st Institute of the Fourth Academy of CASC, Xi’an 710025, ChinaState Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaThe design of non-buckling interconnects with thick sections has gained important applications in stretchable inorganic electronics due to their simultaneous achievement of high stretchability, low resistance, and low heat generation. However, at the same time, such a design sharply increased the tensile stiffness, which is detrimental to the conformal fit and skin comfort. Introducing the fractal design into the non-buckling interconnects is a promising approach to greatly reduce the tensile stiffness while maintaining other excellent performances. Here, a hierarchical theory is proposed for the tensile stiffness of the non-buckling fractal-inspired interconnects with an arbitrary shape at each order, which is verified by the finite element analysis. The results show that the tensile stiffness of the non-buckling fractal-inspired interconnects decreases with the increase in either the height/span ratio or the number of fractal orders but is not highly correlated with the ratio of the two adjacent dimensions. When the ratio of the two adjacent dimensions and height/span ratio are fixed, the tensile stiffness of the serpentine fractal-inspired interconnect is smaller than that of sinusoidal and zigzag fractal-inspired interconnects. These findings are of great significance for the design of non-buckling fractal-inspired interconnects of stretchable inorganic electronics.https://www.mdpi.com/2079-4991/13/18/2542fractal designtensile stiffnesshierarchical theorystretchable inorganic electronics |
| spellingShingle | Yongkang Wang Zanxin Zhou Rui Li Jianru Wang Baolin Sha Shuang Li Yewang Su A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects Nanomaterials fractal design tensile stiffness hierarchical theory stretchable inorganic electronics |
| title | A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects |
| title_full | A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects |
| title_fullStr | A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects |
| title_full_unstemmed | A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects |
| title_short | A Hierarchical Theory for the Tensile Stiffness of Non-Buckling Fractal-Inspired Interconnects |
| title_sort | hierarchical theory for the tensile stiffness of non buckling fractal inspired interconnects |
| topic | fractal design tensile stiffness hierarchical theory stretchable inorganic electronics |
| url | https://www.mdpi.com/2079-4991/13/18/2542 |
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