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Peristalsis, beading and hexagons: three short stories about elastic instabilities in soft solids

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Thursday, November 5, 2020 3:00pm to 4:00pm

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Thursday, November 5, 2020 3:00pm to 4:00pm

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This talk will be three short stories on the general theme of elastic instabilities in soft solids. First I will discuss the inflation of a cylindrical cavity through a bulk soft solid, and show that such a channel ultimately becomes unstable to a finite wavelength peristaltic undulation. Secondly, I will introduce the elastic Rayleigh Plateau instability, and explain that it is simply 1-D phase separation, much like the inflationary instability of a cylindrical party balloon. I will then construct a universal near-critical analytic solution for such 1-D elastic instabilities, that is strongly reminiscent of the Ginzberg-Landau theory of magnetism. Thirdly, and finally, I will discuss pattern formation in layer-substrate buckling under equi-biaxial compression, and argue, on symmetry grounds, that such buckling will inevitably produce patterns of hexagonal dents near threshold.

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