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 language | English (US) |
|---|---|
| Pages (from-to) | 2909-2918 |
| Number of pages | 10 |
| Journal | Advanced Functional Materials |
| Volume | 26 |
| Issue number | 17 |
| DOIs | |
| State | Published - May 3 2016 |
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Keywords
- 3D assembly
- buckling
- helix
- modeling
- serpentine structures
ASJC Scopus subject areas
- Chemistry(all)
- Materials Science(all)
- Condensed Matter Physics
Cite this
}
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 journal › Article
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
C2 - 27499728
AN - SCOPUS:84959378584
VL - 26
SP - 2909
EP - 2918
JO - Advanced Functional Materials
JF - Advanced Functional Materials
SN - 1616-301X
IS - 17
ER -