Journal
ACTA MATERIALIA
Volume 61, Issue 20, Pages 7816-7827Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2013.09.020
Keywords
Stretchable electronics; Serpentine interconnect; Mechanical properties; Self-similarity; Analytical modeling
Funding
- NSF [DMR-1242240]
- NSFC
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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. (C) 2013 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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