Taffetani M, Ciarletta P
MOX, Politecnico di Milano and Fondazione CEN-Centro Europeo di Nanomedicina, Piazza Leonardo da Vinci 32, 20133 Milan, Italy.
CNRS and Sorbonne Universités, Université Paris 6, Institut Jean le Rond d'Alembert, UMR 7190, 4 place Jussieu case 162, 75005 Paris, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Mar;91(3):032413. doi: 10.1103/PhysRevE.91.032413. Epub 2015 Mar 23.
Beads-on-string patterns have been experimentally observed in solid cylinders for a wide range of material properties and structural lengths, from millimetric soft gels to nanometric hard fibers. In this work, we combine theoretical analysis and numerical tools to investigate the formation and nonlinear dynamics of such beaded structures. We show that this morphological transition is driven by elastocapillarity, i.e., a complex interplay between the effects of surface tension and bulk elasticity. Unlike buckling or wrinkling, the presence of an axial elongation is found here to favor the onset of fiber beading, in agreement with existing experimental results on electrospun fibers, hydrogels, and nerves. Our results also prove that the applied stretch can be used in fabrication techniques to control the morphology of the emerging beads-on-string patterns. Such quantitative predictions open the way for several applications, from tissue engineering to the design of stretchable electronics and the microfabrication of functionalized surfaces.