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Title: Guided Formation of 3D Helical Mesostructures by Mechanical Buckling: Analytical Modeling and Experimental Validation

Abstract

3D helical mesostructures are attractive for applications in a broad range of microsystem technologies due to their mechanical and electromagnetic properties as stretchable interconnects, radio frequency antennas, and others. Controlled compressive buckling of 2D serpentine-shaped ribbons provides a strategy to formation of such structures in wide ranging classes of materials (from soft polymers to brittle inorganic semiconductors) and length scales (from nanometer to centimeter), with an ability for automated, parallel assembly over large areas. The underlying relations between the helical configurations and fabrication parameters require a relevant theory as the basis of design for practical applications. In this work, an analytic model of compressive buckling in serpentine microstructures is presented based on the minimization of total strain energy that results from various forms of spatially dependent deformations. Experiments at micro- and millimeter scales, together with finite element analyses, have been exploited to examine the validity of developed model. The theoretical analyses shed light on general scaling laws in terms of three groups of fabrication parameters (related to loading, material, and 2D geometry), including a negligible effect of material parameters and a square root dependence of primary displacements on the compressive strain. Furthermore, analytic solutions were obtained for the key physicalmore » quantities (e.g., displacement, curvature and maximum strain). A demonstrative example illustrates how to leverage the analytic solutions in choosing the various design parameters, such that brittle fracture or plastic yield can be avoided in the assembly process.« less

Authors:
 [1];  [2];  [2];  [2];  [3];  [2];  [1];  [4];  [1];  [5]
+ Show Author Affiliations
  1. Tsinghua Univ., Beijing (China). Center for Mechanics and Materials, Key Lab. of Applied Mechanics (AML) and Dept. of Engineering Mechanics
  2. Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Materials Science and Engineering and Frederick Seitz Materials Research Lab.
  3. Peking Univ., Beijing (China). National Key Lab. of Science and Technology on Micro/Nano Fabrication
  4. Northwestern Univ., Evanston, IL (United States). Dept. of Civil and Environmental Engineering, Dept. of Mechanical Engineering, Center for Engineering and Health and Skin Disease Research Center
  5. Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Materials Science and Engineering, Dept. of Chemistry, Dept. of Mechanical Science and Engineering, Dept. of Electrical and Computer Engineering, Beckman Inst. for Advanced Science and Technology and Frederick Seitz Materials Research Lab.
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Thousand Young Talents Program (China); National Natural Science Foundation of China (NNSFC); National Science Foundation (NSF); National Basic Research Program of China
OSTI Identifier:
1467012
Grant/Contract Number:  
FG02-07ER46471; 11502129; CMMI‐1400169; R01EB019337; 2015CB351900
Resource Type:
Accepted Manuscript
Journal Name:
Advanced Functional Materials
Additional Journal Information:
Journal Volume: 26; Journal Issue: 17; Journal ID: ISSN 1616-301X
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 42 ENGINEERING; 3D Assembly; Buckling; Helix; Serpentine Structures; Modeling

Citation Formats

Liu, Yuan, Yan, Zheng, Lin, Qing, Guo, Xuelin, Han, Mengdi, Nan, Kewang, Hwang, Keh-Chih, Huang, Yonggang, Zhang, Yihui, and Rogers, John A. Guided Formation of 3D Helical Mesostructures by Mechanical Buckling: Analytical Modeling and Experimental Validation. United States: N. p., 2016. Web. doi:10.1002/adfm.201505132.
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Liu, Yuan, Yan, Zheng, Lin, Qing, Guo, Xuelin, Han, Mengdi, Nan, Kewang, Hwang, Keh-Chih, Huang, Yonggang, Zhang, Yihui, & Rogers, John A. Guided Formation of 3D Helical Mesostructures by Mechanical Buckling: Analytical Modeling and Experimental Validation. United States. doi:10.1002/adfm.201505132.
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Liu, Yuan, Yan, Zheng, Lin, Qing, Guo, Xuelin, Han, Mengdi, Nan, Kewang, Hwang, Keh-Chih, Huang, Yonggang, Zhang, Yihui, and Rogers, John A. Wed . "Guided Formation of 3D Helical Mesostructures by Mechanical Buckling: Analytical Modeling and Experimental Validation". United States. doi:10.1002/adfm.201505132. https://www.osti.gov/servlets/purl/1467012.
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@article{osti_1467012,
title = {Guided Formation of 3D Helical Mesostructures by Mechanical Buckling: Analytical Modeling and Experimental Validation},
author = {Liu, Yuan and Yan, Zheng and Lin, Qing and Guo, Xuelin and Han, Mengdi and Nan, Kewang and Hwang, Keh-Chih and Huang, Yonggang and Zhang, Yihui and Rogers, John A.},
abstractNote = {3D helical mesostructures are attractive for applications in a broad range of microsystem technologies due to their mechanical and electromagnetic properties as stretchable interconnects, radio frequency antennas, and others. Controlled compressive buckling of 2D serpentine-shaped ribbons provides a strategy to formation of such structures in wide ranging classes of materials (from soft polymers to brittle inorganic semiconductors) and length scales (from nanometer to centimeter), with an ability for automated, parallel assembly over large areas. The underlying relations between the helical configurations and fabrication parameters require a relevant theory as the basis of design for practical applications. In this work, an analytic model of compressive buckling in serpentine microstructures is presented based on the minimization of total strain energy that results from various forms of spatially dependent deformations. Experiments at micro- and millimeter scales, together with finite element analyses, have been exploited to examine the validity of developed model. The theoretical analyses shed light on general scaling laws in terms of three groups of fabrication parameters (related to loading, material, and 2D geometry), including a negligible effect of material parameters and a square root dependence of primary displacements on the compressive strain. Furthermore, analytic solutions were obtained for the key physical quantities (e.g., displacement, curvature and maximum strain). A demonstrative example illustrates how to leverage the analytic solutions in choosing the various design parameters, such that brittle fracture or plastic yield can be avoided in the assembly process.},
doi = {10.1002/adfm.201505132},
journal = {Advanced Functional Materials},
number = 17,
volume = 26,
place = {United States},
year = {2016},
month = {2}
}
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DOI:  10.1002/adfm.201505132
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