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 journalArticlepeer-review

153 Scopus citations


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
Issue number20
StatePublished - Dec 2013


  • 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


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