Matched asymptotic solution for crease nucleation in soft solids

P. Ciarletta ()
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P. Ciarletta: Politecnico di Milano

Nature Communications, 2018, vol. 9, issue 1, 1-7

Abstract: Abstract A soft solid subjected to a large compression develops sharp self-contacting folds at its free surface, known as creases. Creasing is physically different from structural elastic instabilities, like buckling or wrinkling. Indeed, it is a fully nonlinear material instability, similar to a phase-transformation. This work provides theoretical insights of the physics behind crease nucleation. Creasing is proved to occur after a global bifurcation allowing the co-existence of an outer deformation and an inner solution with localised self-contact at the free surface. The most fundamental result here is the analytic prediction of the nucleation threshold, in excellent agreement with experiments and numerical simulations. A matched asymptotic solution is given within the intermediate region between the two co-existing states. The self-contact acts like the point-wise disturbance in the Oseen’s correction for the Stokes flow past a circle. Analytic expressions of the matching solution and its range of validity are also derived.

Date: 2018
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DOI: 10.1038/s41467-018-02979-6

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