Mechanics of ultra-stretchable self-similar serpentine interconnects

Yihui Zhang, Haoran Fu, Yewang Su, Sheng Xu, Huanyu Cheng, Jonathan A. Fan, Keh Chih Hwang, John A. Rogers*, Yonggang Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

Electrical interconnects that adopt self-similar, serpentine layouts offer exceptional levels of stretchability in systems that consist of collections of small, non-stretchable active devices in the so-called island-bridge design. This paper develops analytical models of flexibility and elastic stretchability for such structures, and establishes recursive formulae at different orders of self-similarity. The analytic solutions agree well with finite element analysis, with both demonstrating that the elastic stretchability more than doubles when the order of the self-similar structure increases by one. Design optimization yields 90% and 50% elastic stretchability for systems with surface filling ratios of 50% and 70% of active devices, respectively.

Original languageEnglish (US)
Pages (from-to)7816-7827
Number of pages12
JournalActa Materialia
Volume61
Issue number20
DOIs
StatePublished - Dec 1 2013

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Analytical models
Mechanics
Finite element method
Design optimization

Keywords

  • Analytical modeling
  • Mechanical properties
  • Self-similarity
  • Serpentine interconnect
  • Stretchable electronics

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

Cite this

Zhang, Yihui ; Fu, Haoran ; Su, Yewang ; Xu, Sheng ; Cheng, Huanyu ; Fan, Jonathan A. ; Hwang, Keh Chih ; Rogers, John A. ; Huang, Yonggang. / Mechanics of ultra-stretchable self-similar serpentine interconnects. In: Acta Materialia. 2013 ; Vol. 61, No. 20. pp. 7816-7827.
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Zhang, Y, Fu, H, Su, Y, Xu, S, Cheng, H, Fan, JA, Hwang, KC, Rogers, JA & Huang, Y 2013, 'Mechanics of ultra-stretchable self-similar serpentine interconnects', Acta Materialia, vol. 61, no. 20, pp. 7816-7827. https://doi.org/10.1016/j.actamat.2013.09.020

Mechanics of ultra-stretchable self-similar serpentine interconnects. / Zhang, Yihui; Fu, Haoran; Su, Yewang; Xu, Sheng; Cheng, Huanyu; Fan, Jonathan A.; Hwang, Keh Chih; Rogers, John A.; Huang, Yonggang.

In: Acta Materialia, Vol. 61, No. 20, 01.12.2013, p. 7816-7827.

Research output: Contribution to journalArticle

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AU - Zhang, Yihui

AU - Fu, Haoran

AU - Su, Yewang

AU - Xu, Sheng

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AU - Fan, Jonathan A.

AU - Hwang, Keh Chih

AU - Rogers, John A.

AU - Huang, Yonggang

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