Compliant thin film patterns of stiff materials as platforms for stretchable electronics

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Stretchability and compliance of freestanding serpentine-shaped ribbons (2014, background): “…serpentine ribbons have large width-to-thickness ratio, they tend to buckle out-ofplane when subjected to end tensile displacements (Kim et al., 2011, 2008; Li et al., 2005) whereas when their width-to-thickness ratios are small, the deformation is completely in plane (Lanzara et al., 2010).”
Flexible electronics under strain: a review of mechanical characterization and durability enhancement strategies (2016, background): “Early efforts from Wagner’s group at Princeton resulted in stiff inorganic islands interconnected by compliant metallic conductors patterned on a soft substrate [195, 439], and the concept was further enhanced by tuning the local stiffness of a PDMS substrate by controlling the cross-linking density”
Mechanics of stretchable batteries and supercapacitors (2015, background): “For buckled serpentine interconnects under stretching, Zhang et al. [51] obtained a semi-analytic solution of elastic stretchability as eelastic-stretchability ¼ v2; ð6Þ where v > 0 is the solution of the following 4th order algebraic equation that has a single positive solution, g2ðm;gÞv4 þ g1ðm;gÞ”