Guided Formation of 3D Helical Mesostructures by Mechanical Buckling

Analytical Modeling and Experimental Validation

Yuan Liu, Zheng Yan, Qing Lin, Xuelin Guo, Mengdi Han, Kewang Nan, Keh Chih Hwang, Yonggang Huang, Yihui Zhang, John A. Rogers

Research output: Contribution to journalArticle

36 Citations (Scopus)

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. Here, 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.

Original languageEnglish (US)
Pages (from-to)2909-2918
Number of pages10
JournalAdvanced Functional Materials
Volume26
Issue number17
DOIs
StatePublished - May 3 2016

Fingerprint

buckling
Buckling
Fabrication
assembly
Scaling laws
Microsystems
Brittle fracture
Strain energy
fabrication
electromagnetic properties
Polymers
scaling laws
Semiconductor materials
Antennas
ribbons
Plastics
micrometers
radio frequencies
Microstructure
plastics

Keywords

  • 3D assembly
  • buckling
  • helix
  • modeling
  • serpentine structures

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics

Cite this

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. In: Advanced Functional Materials. 2016 ; Vol. 26, No. 17. pp. 2909-2918.
@article{f21d04fb9b56400f8012c6f1e3476266,
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. Here, 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.",
keywords = "3D assembly, buckling, helix, modeling, serpentine structures",
author = "Yuan Liu and Zheng Yan and Qing Lin and Xuelin Guo and Mengdi Han and Kewang Nan and Hwang, {Keh Chih} and Yonggang Huang and Yihui Zhang and Rogers, {John A.}",
year = "2016",
month = "5",
day = "3",
doi = "10.1002/adfm.201505132",
language = "English (US)",
volume = "26",
pages = "2909--2918",
journal = "Advanced Functional Materials",
issn = "1616-301X",
publisher = "Wiley-VCH Verlag",
number = "17",

}

Guided Formation of 3D Helical Mesostructures by Mechanical Buckling : Analytical Modeling and Experimental Validation. / Liu, Yuan; Yan, Zheng; Lin, Qing; Guo, Xuelin; Han, Mengdi; Nan, Kewang; Hwang, Keh Chih; Huang, Yonggang; Zhang, Yihui; Rogers, John A.

In: Advanced Functional Materials, Vol. 26, No. 17, 03.05.2016, p. 2909-2918.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Guided Formation of 3D Helical Mesostructures by Mechanical Buckling

T2 - Analytical Modeling and Experimental Validation

AU - Liu, Yuan

AU - Yan, Zheng

AU - Lin, Qing

AU - Guo, Xuelin

AU - Han, Mengdi

AU - Nan, Kewang

AU - Hwang, Keh Chih

AU - Huang, Yonggang

AU - Zhang, Yihui

AU - Rogers, John A.

PY - 2016/5/3

Y1 - 2016/5/3

N2 - 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. Here, 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.

AB - 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. Here, 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.

KW - 3D assembly

KW - buckling

KW - helix

KW - modeling

KW - serpentine structures

UR - http://www.scopus.com/inward/record.url?scp=84959378584&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959378584&partnerID=8YFLogxK

U2 - 10.1002/adfm.201505132

DO - 10.1002/adfm.201505132

M3 - Article

VL - 26

SP - 2909

EP - 2918

JO - Advanced Functional Materials

JF - Advanced Functional Materials

SN - 1616-301X

IS - 17

ER -