9:00–10:00 am
Please Join us:
Anshuman S. Pal's PhD Thesis Defense
Thursday, April 27, 2023 at 9:00 am CDT
FACETED WRINKLING AT A CONTRACTED CURVED BOUNDARY: ISOMETRY AND HYSTERETIC WAVELENGTH SELECTION
Thin elastic sheets are fascinating because they can show a rich variety of patterns and multi-scale physics from the interplay of only a few basic ingredients, viz., stretching, bending, and geometry. In this talk, through the behaviour of a simple system of a circular annulus contracted at the inner boundary, we will discuss two examples of how complexity can arise from simplicity.
The first result shows how the geometric constraint of Gauss’ Theorema Egregium permits the contracted annulus to deform into a radial wrinkling pattern that is unstretched (or, isometric) and with visible faceting at the inner boundary. Wrinkling of this isometric form had not previously been recognised. The second result shows how the wrinkling wavelength (i.e., its large-scale structure) is determined by evanescent, small-scale features, via a mechanism of kinetic arrest. Such an arrest mechanism is a novel explanation of wrinkle wavelengths. This work represents the speaker’s doctoral thesis, under the supervision of Prof. Tom Witten.
Committee Members:
Thomas Witten (Chair)
William Irvine
Savdeep Sethi
Robert Wald
Anshuman will be devoting himself to some personal projects.