Speaker
Description
In this talk I will discuss the formation of wrinkling patterns in a thin elastic annulus subjected to radial stretching within the framework of the Föppl–von Kármán theory. In the limit of vanishing thickness, azimuthal compression develops in an inner region of the sheet, leading to highly oscillatory wrinkle patterns.
After subtracting the relaxed membrane energy and performing a suitable rescaling, we study the next-order variational problem governing the distribution of wrinkle frequencies. Using a Fourier decomposition and a measure-theoretic formulation, we prove a Γ-convergence result for the rescaled energies toward a convex functional defined on measures satisfying a marginal constraint. The limiting problem captures the effective mechanism selecting wrinkle patterns beyond scaling laws.